References

A MODIFIED CHI-SQUARED GOODNESS-OF-FIT TEST FOR THE KUMARASWAMY GENERALIZED INVERSE WEIBULL DISTRIBUTION AND
ITS APPLICATIONS


[1] M. G. Akritas, Pearson-type goodness-of-fit tests: The univariate case, Journal of the American Statistical Association 83 (1988), 222-230.

[2] V. Bagdonavicius and M. Nikulin, Chi-squared tests for general composite hypotheses from censored samples, Comptes Rendus Mathematique 349(3) (2011), 219-223.

[3] V. Bagdonavicius and M. Nikulin, Chi-squared goodness-of-fit test for right censored data, International Journal of Applied Mathematics and Statistics 4(SI-11A) (2011), 30-50.

[4] V. Bagdonavicius et al., Non-parametric Tests for Censored Data, Wiley, New York, 2013.

[5] G. M. Cordeiro, E. M. M. Ortega and S. Nadarajah, The Kumaraswamy Weibull distribution with application to failure data, J. Franklin Inst. 349 (2010), 1174-1197.

[6] G. M. Cordeiro and M. de Castro, A new family of generalized distributions, Journal of Statistical Computation and Simulation 81 (2011), 883-898.

[7] Felipe R. S. de Gusmão, M. Edwin, M. Ortega Gauss and M. Cordeiro, The generalized inverse Weibull distribution, Stat. Papers 52(3) (2009), 591-619.

[8] R. A. Fisher and others, On a property connecting the measure of discrepancy with the method of maximum likelihood, Journal of the Royal Statistical Society 87 (1928), 442-449.

[9] H. Goual and N. Seddik-Ameur, Chi-squared type test for the AFT-generalized inverse Weibull distribution, Communications in Statistics-Theory and Methods 43(13) (2014), 2605-2617.

[10] Robert J. Gray and Donald A. Pierce, Goodness-of-fit tests for censored survival data, Ann. Statist. 13(2) (1985), 552-563.

[11] M. G. Habib and D. R. Thomas, Chi-square goodness-if-fit tests for randomly censored data, The Annals of Statistics 14(2) (1986), 759-765.

[12] M. Hollander and E. Pena, Chi-square goodness-of-fit test for randomly censored data, JASA 87(418) (1992), 458-463.

[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.

[14] P. Kumaraswamy, Generalized probability density-function for double-bounded random-processes, Journal of Hydrology 462 (1980), 79-88.

[15] J. F. Lawless, Statistical Models and Methods for Lifetime Data (Second Edition), Wiley, New York, 2003.

[16] J. F. Lawless, Reliability, Life Testing and the Prediction of Service Lives: For Engineers and Scientists by Sam C. Saunders, Springer Series in Statistics 75(2) (2007), 260.

[17] L. Gerville-Réache, M. S. Nikulin, R. Tahir et al., On reliability approach and statistical inference in demography, Journal of Reliability and Statistical Studies 5 (2012), 37-49.

[18] S. Nadarajah, G. M. Cordeiro and E. M. M. Ortega, General results for the Kumaraswamy-G distribution, Journal of Statistical Computation and Simulation 82(7) (2012), 951-979.

[19] M. S. Nikulin, L. Gerville-Réache and X. Q. Tran, On chi-squared goodness-of-fit test for normality, In V. Couallier, L. Gerville-Réache, H. Huber-Carol, N. Limnios, and M. Mesbah, Editors, Statistical Models and Methods for Reliability and Survival Analysis, Wiley Online Library, New York, (2013), 213-227.

[20] M. S. Nikulin, Chi-squared test for normality, in proceedings of the International Vilnius Conference on Probability Theory and Mathematical Statistics 2 (1973a), 119-122.

[21] M. S. Nikulin, Chi-squared test for continuous distributions with shift and scal parameters, Theory of Probability and its Applications 18 (1973b), 559-568.

[22] M. S. Nikulin, On a chi-squared test for continuous distributions, Theory of Probability and its Applications 19 (1973c), 638-639.

[23] M. Nikulin and F. Haghighi, A chi-squared test for the generalized power weibull family for the head-and-neck cancer censored data, Journal of Mathematical Sciences 133(3) (2006), 1333-1341.

[24] M. S. Nikulin and X. Q. Tran, On chi-squared testing in accelerated trials, International Journal of Performability Engineering 10(1) (2014), 53-62.

[25] M. S. Nikulin and X. Q. Tran, Chi-squared goodness-of-fit tests for generalized Birnbaum-Saunders models for right censored data and its reliability applications, Journal of Reliability: Theory & Application, Electronic Journal of International Groups on Reliability 8(#2) (2013), 7-20.

[26] M. A. R. Pascoa, E. M. M. Ortega and G. M. Cordeiro, The Kumaraswamy generalized gamma distribution with application in survival analysis, Statistical Methodology 8 (2011), 411-433.

[27] M. C. Pike, A method of analysis of a certain class of experiments in carcinogenesis, Biometrics 22 (1966), 142-161.

[28] V. Ravi and D. Gilbert Paul, BB: An R package for solving a large system of nonlinear equations and for optimizing a high-dimensional nonlinear objective function, Journal of Statistical Software 32(i04) (2009), 1-26.

[29] H. Saulo, J. Leao and M. Bourguignion, The Kumaraswamy birnbaum-sanders distribution, J. Stat. Theory Pract. 6 (2012), 754-759.

[30] M. Q. Shahbaz, S. Shahbaz and N. S. Butt, The Kumaraswamy inverse-Weibull distribution, Pakistan J. Statist. Oper. Res. 8 (2012), 479-489.

[31] V. Voinov, M. S. Nikulin and N. Balakrishnan, Chi-Squared Goodness of Fit Tests with Applications, Academic Press, New York, 2013.

[32] V. Voinov, N. Pya, N. Shapakov and Y. Voinov, Goodness-of-fit tests for the power generalized Weibull probability distribution, Communications in Statistics-Simulation and Computation 42(5) (2013), 1003-1012.

[33] B. Zhang, A chi-squared goodness-of-fit test for logistic regression models based on casecontrol data, Biometrika 86(3) (1999), 531-539.