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Livres et Monographies
« Statistique des essais accélérés », 2007, London : Hermes, (M. Nikulin, L.Gerville-Reache, V.Couallier), 294p.
« Accelerated Life Models», 2002, Boca Raton : Chapman & Hall / CRC, 348 p, (with V. Bagdonavicius).
« Generalized Additive and Multiplicative semiparametric models in accelerated life testing and survival analysis », Queen’s Papers on Pure and Applied Mathematics, 1998. Queen’s University, # 108, Kingston, Ontario, Canada, 109 p. (with V. Bagdonavicius).
« Unbiased estimators and their applications », 1996, v.2 : Multivariate case, Dordrecht : Kluwer Academic Publishers, 262p, (avec V.G.Voinov).
« A Guide to Chi-Squared Testing », 1996, New York : John Wiley & Sons, 280 p, (avec P.E.Greenwood).
« Algèbre » , 1995, Moscou : Nauka, 464 p, (en russe, avec D.K.Faddev, I.F.Sokolovsky).
« Semiparametric models in accelerated life testing », Queen’s Papers in Pure and Applied Mathematics, 1995, Queen’s University, # 98, Kingston, Canada, 70 p, (with V. Bagdonavicius).
« Unbiased estimators and their applications », v.1 : Univariate case, 1993, Dordrecht : Kluwer Academic Publishers, 521 p, In English, translated from Russian (and completed), (with V.G.Voinov).
« Unbiased estimators and their applications », 1989, Moscow : Nauka, 440 p, (with V.G.Voinov, in Russian).
« The elements of higher mathematics for high-school », 1989, Moscow : Mir, 367 p., (with D.K.Faddeev, I.F.Sokolovsky), in English.
« Problems in algebra », 1988, Moscow : Prosveshchenie, 208 p.,(with D.K. Faddeev, I.F. Sokolovsky, N.N. Lyashenko), Library for Teachers of Mathemathics, (in Russian).
« The elements of higher mathematics for high-school », 1987, Moscow: Nauka, 336 p., (with D.K.Faddeev, I.F.Sokolovsky), in Russian.
Articles
– Flexible regression models for dynamic prediction of ssurvival in elderly in presence of cancer or other chronic diseases. (2008) .Advances in Gerontology, v.21, # 1. (with A.Sasco).
– Flexible regression models for dynamic prediction of survival in elderly in presence of cancer or other chronic diseases, (2008), Advances in Gerontology , v.21, (with A.Sasco)
– Statistical analysis of redundant systems with “warm” stand-by units (2008), Stochastics:An International Journal of Probability and Stochastical Processes, (accepted for publication) (with V.Bagdonavicius, I.Masiulaityte.)
– Estimation of Rescaled Distribution. (2008) . Estimation of rescaled distribution. In: : « Statistical Models and Methods for Biomedical and Technical Systems », (Eds. : F.Vonta, M.Nikulin, N.Limnios, C. Huber), Birkhauser : Boston, (with H. Lauter and V.Solev), 191-202.
– Extended Cox and Accelerated Models in Reliability,with General Censoring and Truncation (2008). In: : « Statistical Models and Methods for Biomedical and Technical Systems », (Eds. : F.Vonta, M.Nikulin, N.Limnios, C. Huber), Birkhauser : Boston, (with C.Huber-Carol), 3-22.
– Some Probabilistic Models Useful in Sport Sciences (2008). In: « Mathematical Methods in Survival Anazysis, Reliability and Quality of Life », (eds. C.Huber, N.Limnios, M.Mesbah, M.Nikulin), Hermes : London, (with L.Gerville-Réache, S.Oragio, N.Paris, V.Rosa).
– Accelerated Life testing when the Hazard tare Function Has Cup Shape. (2008). In: « Mathematical Methods in Survival Anazysis, Reliability and Quality of Life », (eds. C.Huber, N.Limnios, M.Mesbah, M.Nikulin), Hermes : London, (with V.Bagdonavicius and I.Masiulaityte).
– Statistical Analysis of Redundant System with one Stand-by Unit. (2008). In: « Mathematical Methods in Survival Anazysis, Reliability and Quality of Life », (eds. C.Huber, N.Limnios, M.Mesbah, M.Nikulin) , Hermes : London, (with V.Bagdonavicius and L.Clerjaud).
– Independent x12 distributed in the limit components of some chi-squared tests (2007). In :” Recent Advance in Stochastic Modelling and Data Analysis” (Ed. C.H.Skiadis) World Scientific (with V.Voinov, N.Pya), 243-250.
– The power-generalized Weilbull probability distribution and its use in survival analysis. (2007). Communications in Dependability and Quality Management. V.10, #1, 5-15 (with R.Alloyarova, N.Pya and V.Voinov)
– Analysis of joint multiple failure mode and linear degradation data with renewals. (2007). Journal Statistical Planning and Inference. v.137, #7, 2191-2207. (avec V. Bagdonaviçius, A. Bikelis, V. Kazakeviçius).
– Some recent results on accelerated failure time models with time-varying stresses. (2007). Quality Technology & Quantitative Management, 4, #1, 143-155. (with L.Gerville-Reache).
– On a generalization of the classical random sampling scheme and unbiased estimation. Communications in Statistics: Theory and Methods. (2007), v.36, 693-705. (with Y.Lumelskii, V.Voinov, P.Fegin).
– « Tests for the equality of marginal distributions”, (2007). Comptes Rendus de l’Académie des Sciences de Paris, Ser.I,344, 509-514 (with V.Bagdonavicus and R.Levulene).
– Flexible Regression Models for Carcinogenesis Studies. (2006). Probability and Statistics, 10, (Eds.I.Ibragimov, V.Sudakov), V.Steklov Mathematical Institute, St.Petersburg, RAS, 78-101, (with H-D. I. Wu).
– On goodness-of-fit for homogeneity and proportional hazards. (2006). Applied Stochastic Models in Business and Industry, 22, 607-619. (with V.Bagdonavicius).
– Accelerated degradation model and its Applications to the statistical analysis of the role played by dementia and sex in the loss of functional autonomy in the elderly patient. (2006), Advances in Gerontology ,v.19, 44-54 . (with Barberger-Gateau, P., Bagdonavicius, V. )
– The Impact of Dementia and Sex on the Disablement in the Elderly. (2006). In: Probability, Statistics and Modelling in Public Health, (eds. M.Nikulin, C.Huber, D.Commenges), Springer: New-York, 23-36. (with P.Barberger-Gateau,V.Bagdonavicius, O.Zdorova-Cheminade).
– About one parametric degradation model used in reliability, survival analysis and quality of life. (2006). In: Advances in Statistical methods for the health Sciences: Applications to Cancer and AIDS Studies, Genome Sequence Analysis, and Survival Analysis. (Eds. N.Balakrishnan, J.-L. Auget, M.Mesbah, G. Molenberghs), Birkhauser: Boston, 131-142. (with Gerville-Réache,L., Orazio,S.)
– « On statistical modelling in accelerated life testing”, (2006), Maintenace and Reliability, v.30, #2, 48-51. (avec L.Gerville-Réache)
– «Semiparametric Regression Estimation in Copula Models”, (2006), Communications in Statistics, Theory and Methods,35, #8, 1449-1467. (avec V.Bagdonavicius and S.Malov).
– « Non-parametric estimation from simultaneous renewal-failure-degradation data with competing risk”, Comptes Rendus de l’Academie des Sciences de Paris, Ser.I, (2006)., 63-68, (avec V. Bagdonaviçius, A. Bikelis, V. Kazakeviçius).
– « Dementia and loss of functional autonomy in the elderly. (2005). Revue Médicale de l’Assurence Maladie. V.36, #1, 69-76. (with P.Barberger-Gateau, K.Pérès, L.Lagalaye, S.Andrew, A.Alioum).
– « Statistical modelling, planning and inference in accelerated trials” (2005). In: Qualité et Sûreté de Fonctionnement, v.1, Act du Congrès “Qualita’2005, Bordeaux, (Eds Y.Dutuit, D.Noyes, F.Pérès), 349-357. (avec V.Bagdonavicius et L.Gerville-Réache).
– « Aging and Degradation Models in Reliability and Safety», (2005), Communications in Dependability and Quality Management, v.8, #3, 5-10. (avec V.Bagdonavicius).
– « Non-parametric estimation in degradation-renewal- failure model”, (2005). In: Probability, Statistics and Modelling in Public Health, (eds. M.Nikulin, C.Huber, D.Commenges), Springer: New-York, 23-36. (avec V. Bagdonaviçius, A. Bikelis, V. Kazakeviçius).
– « Statistical analysis of survival and reliability data with multiple crossings of survival functions,” (2005) Comptes Rendus de l’Academie des Sciences de Paris, Ser. I, t.340, 377-382. ( avec V. Bagdonavicius).
– « Statistical analysis of general degradation path model and failure time data with multiple failure modes. (2005), Communication in Statistics. Theory and Methods. v. 34, # 8, 1771-1792. (avec V.Bagdonavicius, F. Haghighi.)
– « Analyse of survival data with non-proportional hazards and crossings of survival functions”. (2005). In: “Quantative Methods in Cancer and Humain Risk Assesment”, (Eds. Lutz Edler, Christos Kitsos), John Wiley and Sons: New York, 193-209. (with V. Bagdonavicius)
-Semiparametric Analysis of Degradation and Failure Time data with Covariate. (2004) . In: « Parametric and Semiparametric Models with Applications tp Reliability, Survival Analysis and Quality of Life”, (Editeurs : M. S. Nikulin, N. Balakrishnan, N. Limnios et M. Mesbah), Birkhauser : Boston, 41-45. (avec V.Bagdonavicius).
– « Tests for equality of survival distributions against non-location alternatives ». (2004). Lifetime Data Analysis, 10, #4, 445-460. (avec V. Bagdonavicius, R. Levuliene, O. Cheminade).
– « Nonparametric estimation of the renewal characteristics from the non-renewal data », (2004), In : “Longevity, Aging and Degradation Models », v.2., p. 22-30. (ISBN 5-7422-0638-0).(avec V. Bagdonaviçius, A. Bikelis, V. Kazakeviçius).
– « Problème d’estimation statistique et epsilon-entropie de Kolmogorov », (2004). Dans : L’héritage de Kolmogorov
en Mathématique, (Eds. E. Charpentier, A. Lesne, N. Nikolski), Belin : Paris., 120-146. (avec V. Solev).
– « Statistical planning and inference in accelerated life testing using the CHSS model », (2004). Journal of the Statistical Planning and Inference, v. 126, 535-551. (avec V. Bagdonavicus, O. Cheminade).
– « Tests d’égalité contre alternative décroissement de deux fonctions de survie » (2004), Comptes Rendus de l’Académie des Sciences de Paris, Ser. I, v.339, p. 425-428, (avec V. Bagdonavicus et R. Levuliene),
– « Analysis of survival data with cross-effects of survival functions », (2004). Biostatistics, 5, #3, 415-425, (avec V. Bagdonavicus et M. Hafdi).
– Stochastical Modeling in survival analysis and its influence on duration analysis. (2004). Dans : « Advances in Survival Analysis ». (Eds: N. Balakrishnan and C. R. Rao), In: Handbook in Statistics ; Advances in Survival Analysis, v. 23, Elsevier, 411-429. (avec V. Bagdonavicus).
– « A new statistics for detecting outliers in exponential case », (2003). Communications in Statistics : Theory and Methods, v. 32, 573-584. (avec A. Zerbet).
– « Chi-square type test for Power Generalized Weibull Family » (2003). Dans : »Advances in statistical inferential methods: theory and applications» (Ed. by V. Voinov), Gylym : Almaty, ISBN 9965-07-253-, p.89-105.(avec F.Haghighi).
– « Semiparametric statistical analysis for aging and longevity ». (2003). Dans : »Advances in statistical inferential methods: theory and applications» (Ed. by V. Voinov), Gylym : Almaty, p.17-30.. (avec V. Bagdonaviçius).
– « Estimation from simultaneous degradation and failure time data »,(2003). In :Mathematical and Statistical Methods in Reliability, Proceedings of the Third Int’l. Conf. on Mathematical Methods in Reliability, Trondheim, Norway (B. Lindqvist and Kjell A Doksum, eds.), World Scientific Publishing, Series on Quality,Reliability and Engineering Statistics, 7. (avec V. Bagdonaviçius, A. Bikelis, V. Kazakeviçius).
– « Statistical analysis of the Generalised Linear Proportionnal Hazards model », (2003). Proceedings of the Steklov Mathematical Institute, St.Petersburg, : Probability and Statistics, 6., v.294, p.5-18, (ISSN 0373-2703), (with V. Bagdonaviçius, M. Hafdi, K. El Himdi)
– « The Generalized Proportional Hazards Model and its Application for Statistical Analysis of the Hsieh Model». (2002). In : Preoceedings of « The Second Euro-Japanese Workshop on Stochastic Risk Modelling for Finance, Insurence, Production and Reliability », September 18-20, Chamonix, France, (Eds. T. Dohi, N. Limnios, S. Osaki), p. 42-53. (avec V. Bagdonavicius, M. Hafdi.) http://www.dma.utc.fr/Workshop/index.htm
– « Détection des observations aberrantes par des méthodes statistiques“, Revue de Statistique Appliquée, ( 2002) #3, 25-51. (avec A. Zerbet).
– « Non-parametric estimation from simultaneous degradation and failure data», (2002), Comptes Rendus, Académie des Sciences de Paris, v. 335, 183-188, (avec V. Bagdonaviçius, A. Bikelis, V. Kazakeviçius),
– « Multivariate discrete distributions induced by an urn scheme, linear diophantine equations, unbiased estimating and testing».(2002) Journal of Statistical Planning and Inference, v. 101, #1-2, 255-266 (avec T. Smirnov, V. Voinov).
– « On parametric inference for step-stresses models», (2002), IEEE Transaction on Reliability. (avec V. Bagdonavicius, L. Gerville-Réache), #1,27-31.
– « Testing Problem for Increasing Function in a Model with Infinite Dimensional Nuisance Parameter», (2002) In: Goodness-of-fit Tests and Model Validity, (Eds. C. Huber, N. Balakrishnan, M. Nikulin and M. Mesbah), Boston : Birkhauser. 477-494. (avec V.Solev).
– « Goodness-of-fit Tests for Accelerated Life Models», (2002). In: Goodness-of-fit Tests and Model Validity, (Eds. C. Huber, N. Balakrishnan, M. Nikulin and M. Mesbah), Boston: Birkhauser. 281-300.(avec V. Bagdonavicius).
– « Goodness-of-fit Tests for the Generalized Risk Models», (2001) Dans : Asymptotic Methods in Probability and Statistics with Applications», (Eds. N. Balakrishnan, I. A. Ibragimov, V. N. Nevzorov), Boston: Birkhauser, 385-394.
– « Mathematical Models in the Theory of Accelerated Experiments», (2001) In: Mathematics and the 21st Century,Singapore: World Scientific (Eds. A. A. Ashor and A.-S. F. Obada), 271-303. (with V.Bagdonavicius)
– « Estimation in Degradation Models with Explanatory variables« , (2001), Lifetime Data Analysis, 7, #1, 85-103. (avec V. Bagdonavicius).
– « On goodness-of-fit for accelerated life models»,(2001), Comptes Rendus, Academie des Sciences de Paris, 332, #1, Série I, p. 171-176 (avec V. Bagdonavicius).
– « A Probabilistic Description of Radiaoctive Contamination: a multivariate model », (2001), Applied Radiation and Isotopes, 54, 355-363. (avec M. Novak, T. Smirnov, V. Voinov, G. Krasnov).
– « Estimation of cycling effect on reliability », (2001). Dans : Proceedings of International Conference on Recent Advances in Probability and Statistics, the Volume in Honor of Prof. Cacoullos, (Eds. Ch. Charalambides, M. Koutras, N. Balakrishnan), Boca Raton : Chapman and Hall / CRC. (avec V. Bagdonavicius), 537-545.
– « A Probabilistic Description of Radiaoctive Contamination », (2000), Applied Radiation and Isotopes, 52, 993-1002. (avec M. Novak, T. Smirnov, V. Voinov).
– « Analyse statistique du modèle de Makeham »,(2000), Revue Roumaine Math. Pure et Appl., 45, #6, 947-957. (avec L. Gerville-Réache).
– « Expériences Accélérées : Analyse Statistique du Modèle Standard de Vie Accélérée », (2000), Revue de Statistique Appliquée , #3,5-38. (avec V. Bagdonavicus, L. Gerville-Réache, V. Nikoulina.)
– « Semiparametric Estimation in Accelerated Life Testing », Dans : « Mathematical Methods in Reliability : Methodology, Practice and Inference-MMR’2000 », Boston : Birkhauser, (Eds. N. Limnios & M. Nikulin), 2000. (avec V. Bagdonavicius), 405-418.
– « Unbiased Estimators in Reliability and Similar Problems », In : « Recent Advances in Reliability Theory : Methodology, Practice and Inference-MMR’2000 », Boston Birkhauser, (Eds. N.Limnios & M.Nikulin), 2000. (avec V. Voinov), 435-448.
– « Modèle statistique de dégradation avec des covariables dépendant de temps « , (2000), Comptes Rendus de l‘ Académie des Sciences de Paris, 330, #2, Série I, p. 131-134 (avec V. Bagdonavicius).
– « Estimating Environmental Radioactive Contamination in Kazakhstan« , (2000), Central Asian Journal of Economics, Management and Social Research, # 1, 59-71. (ISBN 9965-9047-3-1) (avec V. Voinov, M. Novak, D. Turetayev).
– « On goodness-of-fit for the Linear Transformation and Frailty models« , (2000), Statistics and Probability Letters, v.47, #2, 177-188. (avec V. Bagdonavicius).
– « On nonparametric estimation in accelerated experiments with step-stresses « , (2000), Statistics, v. 31, #4, 349-365,(avec V. Bagdonavicius).
– « Generalized proportional hazards model based on modified partial likelihood « , Lifetime Data Analysis, (1999), v. 5, 329-350. (avec V. Bagdonavicius).
– « Model Buildings in Reliabilty», (1999) In : Probabilistic and Statistical Models in Reliability, Eds. N. Limnios and D. Ionescu), Boston : Birkhauser, 51-74,(avec V. Bagdonavicius).
– « On Nonparametric Estimation From Accelerated Experiments« , (1999). In : Probabilistic and Statistical Models in Reliability, Eds. N. Limnios and D. Ionescu, Birkhauser, Boston, 75-90,(avec V. Bagdonavicius).
– « Chi-squared goodness of fit test for doubly censored data, applied in Survival Analysis and Reliability « , In :Probabilistic and Statistical Models in Reliability, (Eds. N. Limnios and D. Ionescu), Boston : Birkhauser, (1999), 101-112,(avec V.S olev).
– « Estimation in generalized proportional hazards model « , (1998), Comptes Rendus de l’ Academie des Sciences de Paris, Série I, t.326, 1415-1420. (avec V. Bagdonavicius).
– « Characterizations and semiparametric regression estimation in Archimedean copulas « , Journal of Applied Statistical Sciences,(1998), v.8, 549-562, (avec V. Bagdonavicius & S. Malov).
– « Semiparametric estimation in the generalized additive multiplicative model« . Dans : Probability and Statistics, 2, (Eds:I. A. Ibragimov, V. A. Sudakov), Proceeding of the Steklov Mathematical Institute, St. Pétersbourg, 1997, 7-27. (avec V. Bagdonavicius).
– « Bolshev’s method of confidence interval construction« , (1997), Qüestiio, 21,# 3, 549-562. (avec V. Bagdonavicius et V. Nikoulina).
– « Remarques sur le maximum de vraisemblance « , (1997), Qüestiio, 21, # 1-2, p. 37-58 (avec C. Huber).
– « Statistical analysis of the generalized additive semiparametric survival model with random covariates « , (1997),Qüestiio, 21, # 1-2, p. 273-291 (avec V. Bagdonavicius).
– « Sur l’application des stress en escalier dans les expériences accélérées « , (1997), Comptes Rendus de l’ Academie des Sciences de Paris, 325, Série I, p. 523-526 (avec V. Bagdonavicius).
– « Accelerated life testing when a process of production is unstable « , (1997), Statistics and Probabilité Letters, 35, p. 269-275 (with V. Bagdonavicius).
– « Transfer functionals and semiparametric regression models « , (1997), Biometrika, v. 84, 2, p. 365-378 (avec V. Bagdonavicius).
– « Unbiased Estimation for a Multivariate Exponential whose Components have a Common Shift « ,(1997), Journal of Multivariate Analysis, 63, # 2, p. 199-221 (avec L. Bordes & V. G. Voinov).
– « Analysis of general semiparametric models with random covariates », (1997}, Revue Roumaine de Mathématiques Pures et Appliquées, 42, # 5-6, p. 351-369. (avec V. Bagdonavicius).
– « On some statistical and probability problems related to unipartite and multipartite partitions « ,(1997), Revue Roumaine de mathématiques Pures et Appliquées, v. 42, # 1-2, p. 163-178. (avec V. Voinov).
– « On a subset sum algorithm and its probabilistic and other applications« , (1997). In :Advances in Combinatorial Methods and Applications to Probability and Statistics, (ed. N.Balakrishnan), Birkhauser, p. 153-163 (with V.Voinov).
– « Asymptotic analysis of semiparametric models in survival analysis and accelerated life testing « , (1997), Statistics, 29, p.261-283. (avec V. Bagdonavicius).
– « Some rank tests for multivariate censored data « , (1997). Dans : Advances in the Theory and Practice of Statistics : A volume in Honor of Samuel Kotz. (eds. N .L. Johnson and N. Balakrishnan, New York : John Wiley and Sons, 193-207. (avec V. Bagdonavicius)
Revues
– « Chi-squared test for continuous distributions with shift and scale parameters « , Theory probability and its applications, (1973}, 18, #3, p.559-568.
– « On a chi-squared test for continuous distributions « , Theory probability and its applications, (1973), 18, #3, p. 638-639.
– « On a quantile test « , Theory probability and its applications, (1974),19, #2, p. 410-413.
– « On a modification of the standard statistics of Pearson « , Theory probability and its applications, (1974), 19, #4, p. 851-853 (with K.O. Dzhaparidze).
– « Comment on G.Chase « The chi-square test in case when parameters are estimated independently of the sample » « , Litovsk. Mathem. Sbornic, (1976), 16, #2, p. 221-222.
– « Hypothesis testing for a parameter difference in binomial distributions « , Theory probability and its applications, (1979), 24, 2, p. 392-396.
– « Probability distributions of the Kolmogorov and omega-square statistics for continuous distributions with shift and scale parameters « , Journal of Soviet Mathematics, (1982), 20, #3, p. 2147-2163.
– « On the existence of maximum likelihood estimates for shift and scale parameters « , Theory of Probability and its Applications, (1982), 27, #3, p. 881.
– « Application of the model of two-factor analysis of variance without interaction « , Journal of Soviet Mathematics, (1984, 25), #3,p. 1196-1207.
– « Distributon of chi-square statistic with additional observations used to estimate the unknown parameter « , Journal of Soviet Mathematics, (1984), 23, #3, p. 2290-2295 (avec J. Yusas).
– « A remarque on the paper by Bolshev and Mirvaliev on the exponential model of radiation of alpha -particules « , Theory probability and its applications, (1984), 29, #1, p. 174-175 (avec Voinov V.G.).
– « Taking into Account Ties in the Two-sample Wilcoxon test « , Journal of Soviet Mathematics, (1984}, 27, #5, p.3134-3136, (avec J. Yusas).
– « A test for detecting the outlying observations in a multivariate normal family », Journal of Soviet Mathematics, (1984), 24, #5, 604-607.
– « On the direct evaluation of quantiles and noncentrality parameters »,Proc. 4th International Vilnus Conference on Probability Theory and Mathematical Statistics, (1985), 4, p. 328-330 (avec Voinov V. G. et R. Neymann).
– « Computer version of statistical procedure », Journal of Soviet Mathematics, (1986), 33, #1, p. 785-792 (avec N. N. Lyashenko).
– « An exemple of a new type table for calculating percentage points », Proc. First World Congress of the Bernoulli Society for Mathematical Statistics and Probability, (1986), (avec Voinov V. G. et R. Neymann).
– « The Lagrange’s method of evaluation of quantailes and noncentrality parameters of probability distributions », Theory probability and its applications, (1986), 31, #1, p.185-187 (avec Voinov V.G. and R. Neymann).
– « Probabilistic Properties of the Generalized Omega-Square Statistic », Journal of Soviet Mathematics, (1987), 36, #4, p. 520-524, (avec A. Osidze).
– « Bernstein’s Regularity Conditions in a Problem of Empirical Bayesian approach », Journal of Soviet Mathematics, (1987), 36, #5, p. 596-600.
20. » Applications of tests of chi-squared type », Journal of Soviet Mathematics, 1988, v. 43, #6, p. 2776 2791 (avec P. E. Greenwood).
– « A prediction problem for random processes taking into account the duration of calculation », Theory probability and its applications, 1988, 33, #3,p. 613-616 (avec N. N. Lyashenko, S. I. Fedorov).
– « The use of best unbiased estimators for statistical quality control of integrated circuits (survey) ». Industrial Laboratory, 1988, 54, #7, p. 793-800 (avec V.G.Voinov).
– « Computer multiplication and division of independent random variables », Journal of Soviet Mathematics, 1989, 44, #4, p. 496 -502, (avec N. N. Lyashenko).
– « A result of L.N.Bolshev from the theory of the statistical testing of hypothesis », Journal of Soviet Mathematics, 1989, 44, #4, p. 522-529.
– « A chi-squared goodness-of-fit test for exponential distributions of the first order », Springer Verlag Lecture Notes in Mathematics, 1989, #1412, p. 239-258 (avec Voinov V.G.).
– « Estimation of the efficiency of Bolshev’s decision rule in the problem of testing of two hypothesis », Journal of Soviet Mathematics, 1990, p. 2955-2964.
– « Probability analysis of round-off errors in floating-point arithmetic», Theory probability and its applications, 1990,35, #1, p. 66-74, (avec N. N. Lyashenko).
– « Test d’ajustement du chi-deux pour des lois incomplétement spécifiées », Statistique des processus en milieu medical, Séminaire 89-90 de Statistique Médicale de L’Université Paris 5, 1990, p. 176-198.
– « Some recent results on chi-squared tests », Queen’s papers in Pure and Applied mathematics, 1991, # 86, Queen’s University,Kingston, Canada,74 p.
– « A chi-square goodness-of-fit test for natural exponential family with a power variance function, » Comptes rendus mathemathiques de l’Academie des Sciences de Canada, 1991, v. 13, #6, p. 265-270.
– « A Remark on the Converse of Laplace’s Theorem », Journal of Soviet Mathematics, 1992, v. 59, # 4, 976-979.
– « A Variant of the Generalized Omega-Square Statistic », Journal of Soviet Mathematics, 1992, v. 61, # 1, p.1896-1900.
– « A mathematical model for the lottery », Queen’s Mathematical Communicator », Summer 1992, p. 1-6.
– « Goodness-of-fit chi-squared type criterions». Industrial Laboratory, USA, (1992), p. 280-291, (avec M. Mirvaliev).
– « Gihman Statistic and Goodness-of-fit tests for Grouped Data », Comptes rendus mathematiques de l’Academie des Sciences de Canada, 1992, v. 14,# 4, p. 151-156.
-Les correccions de continuÏtat en distribucions binomial i poisson, i la correccio de Yates en el test khi-quadrat en taules de contingencia 2 *2, Qüestiio, 1993, v. 17, #2, 269-281, (avec C. M. Cuadras).
– « Generating fonctions, problems of the additive number theory and some statistical applications », Seminaire 93 de la Statistique des processus en milieu medical, L’Université Paris 5, 1993, p. 1-34 (avec V. Voinov).
– « Remarques sur maximum de vraisemblance », Seminaire 93 de la Statistique des processus en milieu medical, L’Université Paris 5, 1993, p. 219-232 (avec C. Huber).
– « Analyse statistique d’un modèle utilisé en spectroscopie », XXV Journées de Statistique, Vannes, 1993, 187, 4 p.
– « Unbiased estimators of multivariate discrete distributions and chi-square goodness-of-fit test », Qüestiio, 1993, V.17, 3 pp. 301-326. (Avec V. Voinov).
– « Classical random walks and some statistical problems », Rings and modules. Limit theorems of probability theory. 3,1993, St. Petersburg State University. pp. 204-216. (avec C. Huber).
– « Chi-squared goodness-of-fit test for the family of logistic distributions », Kybernetika, 1994, v.30, 3, pp. 214-222. (avec N. Aguirre)
– « Chi-squared goodness-of-fit test for uni- and multidimensional discrete distribution »,(1994), Journal of Mathematical Sciences, v. 68 , p 438-450. (avec V. Voinov)
– « Goodness-of-fit test for the family of logistic distributions»,(1994), Qüestiio, 18, 3, 317-335. (avec N. Aguirre).
– « On power series, Bell polynomials, Hardy-Ramanujan-Rademacher problem and its statistical applications »,Kybernetika, 1994, v. 30, 3, pp. 343-358. (avec V. Voinov)
– « Stochastic models of accelerated life », Selected Topics in Stochastic Modelling , (ed. J. Gutienez, M. Valderrama), 1994, World Scientific, Singapore, pp. 73-87. (Avec V. Bagdonavicius).
– « A chi-squared goodness-of-fit test for modified power series distribution ». (Avec V. G. Voinov), Sankhya : The Indian Journal of Statistics, (1994), 56, Series B, Pt., 1, pp. 86-94.
– « A review of the results on the Stein approach for estimators improvement », Qüestiio, 1995, V.19, 1, pp. 9-35. (avec V. Voinov)
– « Accelerated life testing for systems and their components », 7th International Conference on Applications of Statistics and Probability in Civil Engineering, Paris, (1995), p. 1157-1164. (avec V. Bagdonavicius).
– « Generating functions, problems of the additive number theory and some statistical applications », Revue Roumaine de mathéematiques Pures et Appliquées, (1995), v. 40, #2, p. 107-147. (avec V. Voinov).
– « Construction de modèles et estimation de fiabilité en utilisant des données des expériences accélérées. », XXVII Journées de statistique, Jouy-en-Josas, 15-19 mai 1995, p.59-63. (Avec V. Bagdonavicius).
– « On the computation of the chi-squared type cstatistics », Journal of Mathematical Sciences, (1995), v.75, 5, pp. 1910-1921. (avec K. O. Dzhaparidze)
– « Some remarks on estimation of parameters of uniform distribution », Journal of Mathematical Sciences, (1995), v. 75, 2, pp. 1516-1517.
– « On the problem of the means of weighted normal populations », Qüestiio, 1995, v. 19, 2, pp. 7-20. (avec V. Voinov)
– « Estimation of system reliability from accelerated experiments », Proceeding of International Conference on Statistical Methods and Statistical Computing for Quality and Productivity Improvement (ICSQP’95)}, Séoul, 17-19 August, (1995), v.II, pp. 602-608. (avec V. Bagdonavicius)
– « On accelerated testing of systems », European Journal of Diagnosis and Safety in Automation}, (1995), 5, 3, pp. 307-316. (avec V. Bagdonavicius)
– « Generalization of the Cox and Additive Hazards models and Estimation », 21th European Meeting of Statisticians},Aarhus, Denmark, August (1995). (avec V. Bagdonavicius)
– « Analyses of generalized additive semiparametric models » , Comptes Rendus, Académie des Sciences de Paris, (1996), 323, 9, Série I, 1079-1084. (avec V. Bagdonavicius).
– « Table of the best possible unbiased estimates for functions of parameters of multinomial and negative multinomial distributions. » (1996), Journal of Mathematical Sciences, 1, New York, p. 2363-2367. (with V. G. Voinov).
Encyclopedia of Mathematics
– Chi-squared test, Composite hypothesis, Consistent estimator, Consistent test, Contrast, Cramer-von Mises test, Critical value, Critical function, Critical region.
– Decision function, Dispersion ellipsoid, Distribution, complete family of.
– Efficiency of a statistical procedure, Efficient test, Efficient estimator, Equivariant estimator, Excess coefficient.
– Hellinger distance, Hotelling test, Hunt-Stein theorem.
– Inefficient statistic, Interval estimator, Invariant statistic, Invariant test.
– Kolmogorov test, Kolmogorov-Smirnov test.
– Likelihood equation, Likelihood-ratio test.
– Mann-Whitney test, Maximal invariant, Maximin criterion, Minimax estimator, Minimax statistical procedure, Most-powerful test.
– Neyman method of confidence intervals, Neyman-Pearson lemma, Neyman structure, Non-parametric test, Nuisance parameter.
– Omega-squared distribution, Order statistic.
– Permutation test, Pitman estimator, Point estimator, Power of a statistical test, Power function of a test.
– Randomization, Randomization test, Rank statistic, Rank test, Rank vector, Rao-Blackwell-Kolmogorov theorem, Rao-Cramer inequality, Renyi test, Risk of a statistical procedure.
– Simple hypothesis, Significance level, Statistical hypothesis, Similar test, Superefficient estimator, Sheppard – corrections, Statistical test, Statistical hypotheses (verification of), Sign test, Similar statistic,
Significance test, Statistics.
– Unbiased estimator.
Encyclopedia of Statistical Sciences, John Wiley and Sons Editors Samual Kotz, N.Balakrishnan, C.Read and B.Vidakovic, 2nd Edition,J.Wiley,New Jersey
–V.Bagdonavicius, M. Nikulin, « Accelerated Life Testing », (2006), ESSU, vol.1, p.10-22
–M. Nikulin, V.Voinov, « Chi-Squared Tests-II», (2006), ESSU, vol.2, p.912-921
–M. Nikulin, V.Voinov, « Minimum variance unbiased estimators», (2006), ESSU
–M. Nikulin « Generalized omega-Square Distribution », (1997), ESSU, vol.3
Encyclopedia of Life Support Systems, EOLSS Publishers Co, Ltd. (UNESCO)
– M. Nikulin « Statistical Testing of Hypotheses», (2002), 15 p.
Encyclopedia of Statistics in Quality and Reliability
– M.Nikulin, Accelerated Life Models, 2007
– M.Nikulin, Step Stress Accelerated Life Testing: Classical Methods, 2007
– M.Nikulin, Degradation and Failure, 2007
Risque Industriel :
Livres – Parutions récentes
• « La Sûreté de Fonctionnement des Systèmes Industriels Complexes » (« Operational
Reliability of Complex Industrial Systems ») 1999 in French Technical Encyclopedia « Techniques de l’Ingénieur. »
• « Les PME-PMI peuvent réduire leurs pannes de 20% à 50% » (« Small and medium
businesses can reduce failure numbers from 20% to 50% »), La Tribune, September, 1998