@article{ZNSL_2012_408_a2,
author = {V. Bagdonavi\v{c}ius and R. Levuliene and M. S. Nikulin and Q. X. Tran},
title = {On chi-squared type tests and their applications in survival analysis and reliability},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {43--61},
year = {2012},
volume = {408},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_408_a2/}
}
TY - JOUR AU - V. Bagdonavičius AU - R. Levuliene AU - M. S. Nikulin AU - Q. X. Tran TI - On chi-squared type tests and their applications in survival analysis and reliability JO - Zapiski Nauchnykh Seminarov POMI PY - 2012 SP - 43 EP - 61 VL - 408 UR - http://geodesic.mathdoc.fr/item/ZNSL_2012_408_a2/ LA - en ID - ZNSL_2012_408_a2 ER -
%0 Journal Article %A V. Bagdonavičius %A R. Levuliene %A M. S. Nikulin %A Q. X. Tran %T On chi-squared type tests and their applications in survival analysis and reliability %J Zapiski Nauchnykh Seminarov POMI %D 2012 %P 43-61 %V 408 %U http://geodesic.mathdoc.fr/item/ZNSL_2012_408_a2/ %G en %F ZNSL_2012_408_a2
V. Bagdonavičius; R. Levuliene; M. S. Nikulin; Q. X. Tran. On chi-squared type tests and their applications in survival analysis and reliability. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 18, Tome 408 (2012), pp. 43-61. http://geodesic.mathdoc.fr/item/ZNSL_2012_408_a2/
[1] O. Aalen, “Nonparametric inference for the family of counting processes”, Ann. Statist., 6 (1978), 701–726 | DOI | MR | Zbl
[2] M. G. Akritas, “Pearson-type goodness-of-fit tests: the univariate case”, J. Amer. Statist. Assoc., 83 (1988), 222–230 | DOI | MR | Zbl
[3] P. K. Andersen, O. Borgan, R. G. Gill, N. Keiding, Statistical models based on counting processes, Springer-Verlag, New York, 1993 | MR | Zbl
[4] T. Aven, U. Jensen, Stochastic models in reliability, Springer, New York, 1999 | MR | Zbl
[5] V. Bagdonavičius, M. Nikulin, Accelerated life models, Chapman and Hall/CRC, Boca-Raton, 2002
[6] V. Bagdonavičius, J. Kruopis, M. S. Nikulin, Nonparametric tests for censored data, ISTE and Wiley, London, 2011 | Zbl
[7] P. Billingsley, Convergence of probability measures, Wiley, New York, 1968 | MR | Zbl
[8] H. Chernoff, E. L. Lehmann, “The use of maximum likelihood estimates in $\chi^2$ tests for goodness of fit”, Ann. Statist., 25 (1954), 579–586 | DOI | MR | Zbl
[9] H. Cramer, Mathematical methods of statistics, Princeton University Press, Princeton–New York, 1946 | MR | Zbl
[10] F. Drost, Asymptotics for generalized chi-squared goodness-of-fit tests, CWI Tracs, 48, Centre for Mathematics and Computer Sciences, Amsterdam, 1988 | MR | Zbl
[11] P. Greenwood, M. S. Nikulin, A guide to chi-squared testing, Wiley, New York, 1996 | MR | Zbl
[12] M. G. Habib, D. R. Thomas, “Chi-squared goodness-of-fit tests for randomly censored data”, Ann. of Statist., 14 (1986), 759–765 | DOI | MR | Zbl
[13] N. L. Hjort, “Goodness of fit tests in models for life history data based on cumulative hazard rates”, Ann. Statist., 18 (1990), 1221–1258 | DOI | MR | Zbl
[14] M. Hollander, E. Pena, “Chi-square goodness-of-fit test for randomly censored data”, JASA, 87 (1992), 458–463 | DOI | MR | Zbl
[15] I. A. Ibragimov, R. Z. Hasminskii, Statistical estimation. Asymptotic theory, Springer-Verlag, Heidelberg, 1981 | MR | Zbl
[16] J. P. Klein, M. L. Moeschberger, Survival analysis,techniques for censored and truncated data, Springer-Verlag, New York, 1997
[17] J. F. Lawless, Statistical models and methods for lifetime data, 2nd ed., Wiley, New York, 2003 | MR | Zbl
[18] L. LeCam, C. Mahan, C. A. Singh, “An extension of a theorem of H. Chernoff and E. L. Lehmann”, Recent advances in statistics, Academic Press, Orlando, 1983, 303–332 | DOI | MR
[19] B. Y. Lemeshko, S. B. Lemeshko, S. N. Postovalov, E. V. Chimitova, Statistical data analysis, simulation and study of probability regularities. Computer approach, NSTU Publisher, Novosibirsk, 2011
[20] D. Moore, M. Spruill, “Unified large-sample theory of general chi-squared statistics for tests of fit”, Ann. Statist., 3 (1975), 599–616 | MR | Zbl
[21] W. Nelson, Accelerated testing: statistical methods, tests, plans, and data analysis, Wiley, New York, 1990
[22] M. S. Nikulin, “Chi-square test for normality”, International Vilnius conference on probability theory and mathematical statistics, v. 2, 1973, 119–122
[23] M. S. Nikulin, “Chi-square test for continuous distribution with shift and scale parameters”, Theory Probab. Appl., 18 (1973), 559–568 | DOI | MR | Zbl
[24] M. S. Nikulin, “On a chi-square test for continuous distribution”, Theory Probab. Appl., 18 (1973), 638–639 | MR | Zbl
[25] E. Pena, “Smooth goodness-of-fit tests for composite hypothesis in hazard based models”, Ann. Statist., 26 (1998), 1935–1971 | DOI | MR | Zbl
[26] K. C. Rao, D. S. Robson, “A chi-square statistics for goodness-of-fit tests within the exponential family”, Commun. Statist., 3 (1974), 1139–1153 | DOI | MR
[27] A. W. van der Vaart, Asymptotic Statistics, Cambridge, UK, 1998 | MR
[28] V. Voinov, M. S. Nikulin, Unbiased estimators and their applications, v. 1, Continuous case, Kluwer Academic Publishers, Dordrecht, 1993 | MR | Zbl
[29] V. G. Voinov, M. S. Nikulin, N. Balakrishnan, Chi-squared goodness-of-tit tests with applications, Academic Press, 2012 (to appear)
[30] B. Zhang, “A chi-squared goodness of-fit test for logistic regression models based on case-control data”, Biometrika, 86 (1999), 531–539 | DOI | MR | Zbl