Kullback-Leibler life time testing

Applied Mathematics and Computation

Volumn 240, Issue , 2014, Pages 122-139

  Stehlik M ^a,b   Economou, P ^c   Kiselak J ^d   Richter, W D ^e  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b DEPARTAMENTO DE FÍSICA   (Chile)

^c UNIVERSITY OF PATRAS   (Greece)

^d P J AFÁRIK UNIVERSITY   (Slovakia)

^e UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

Deconvolution; Exact distribution; Homogeneity and scale testing; Information divergence; Intersection percentage function; Lambert W

Indexed keywords

COMPUTATIONAL METHODS; DECONVOLUTION; MATHEMATICAL TECHNIQUES;

EXACT DISTRIBUTION; GEOMETRIC INTEGRATION; INFORMATION DIVERGENCE; INTERVAL METHODS; KULLBACK LEIBLER DIVERGENCE; KULLBACK-LEIBLER; SHAPE PARAMETERS; TEST STATISTICS;

STATISTICAL TESTS;

EID: 84901058146     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2014.04.027     Document Type: Article

References (27)

1. O. Barndorf-Nielsen Information and Exponential Families in Statistical Theory 1978 John Wiley & Sons Ltd. New York
2. M.S. Bartlett, and D.G. Kendall The statistical analysis of variance-heterogeneity and the logarithmic transformation Suppl. J. R. Stat. Soc. 8 1946 128 138
3. K.C.G. Chan Nuisance parameter elimination for proportional likelihood ratio models with nonignorable missingness and random truncation Biometrika 100 2012 269 276
4. D. Coit, and T. Jin Gamma distribution parameter estimation for field reliability data with missing failure times IIE Trans. 32 2000 1161 1166
5. R. Corless, G. Gonnet, D. Hare, D. Jeffrey, and D. Knuth Lambert's W function in maple Maple Tech. Newslett. 9 1993 12 22
6. R. Corless, G. Gonnet, D. Hare, D. Jeffrey, and D. Knuth On the Lambert W function Adv. Comput. Math. 5 1996 329 359
7. P. Economou, M. Stehlík, On small samples testing for frailty through homogeneity test, Commun. Stat. Simul. Comput. http://dx.doi.org/10. 1080/03610918.2013.763982.
8. V. Henschel, and W.-D. Richter Geometric generalization of the exponential law J. Multi. Anal. 81 2002 189 204
9. A. Karagrigoriou, and K. Mattheou On distributional properties and goodness of fit tests Commun. Stat. Theory Methods 39 2010 472 482
10. A.C. Kimber Trimming in gamma samples J. R. Stat. Soc. Ser. C Appl. Stat. 32 1983 7 14
11. D. Kundu, and A. Manglick Discriminating between the gamma and log-normal distributions J. Appl. Stat. Sci. 14 2005 175 187
12. J.F. Lawless Statistical Models and Methods for Lifetime Data 1982 Wiley New York
13. L. Pardo Statistical Inference Based on Divergence Measures 2006 Chapman & Hall/CRC
14. A. Pázman Nonlinear Statistical Models 1993 Kluwer Acad Publ. Dordrecht (Sections 9.1 and 9.2)
15. p symmetric distributions Lith. Math. J. 49 1 2009 93 108
16. W.-D. Richter Ellipses numbers and geometric measure representation J. Appl. Anal. 17 2011 165 179
17. W.-D. Richter Exact distributions under non-standard model assumptions AIP Conf. Proc. 1479 2012 442 445
18. P. Royston, and D. Altman Regression using fractional polynomials of continuous covariates: parsimonious parametric modeling (with discussion) Appl. Stat. 43 1994 429 467
19. F. Rublík On optimality of the LR tests in the sense of exact slopes. Part 1: General case Kybernetika 25 1989 13 25
20. F. (Rublík On optimality of the LR tests in the sense of exact slopes. Part 2 Kybernetika 25 1989 117 135
21. W. Sauerbrei, and P. Royston Building multivariable prognostic and diagnostic models: transformation of the predictors by using fractional polynomials J. R. Stat. Soc. Ser. A 162 1999 71 94
22. M. Stehlík Distributions of exact tests in the exponential family Metrika 57 2003 145 164
23. M. Stehlík Homogeneity and scale testing of generalized gamma distribution Reliab. Eng. Syst. Saf. 93 2008 1809 1813
24. M. Stehlík Decompositions of information divergences: recent development, open problems and applications AIP Conf. Proc. 1493 2012 972 976
25. M. Stehlík Discussion for paper "How to find an appropriate clustering for mixed type variables with application to socio-economic stratification" by Ch. Hennig and T.F. Liao JRSS-C 62 2013 1 25
26. M. Stehlík, J. Kiseľák, and G.A. Ososkov I-divergence based testing with applications to reliability and physics Math. Eng. Aerosp. Sci. 3 2012 417 432
27. S.S. Wilks Mathematical Statistics 1962 John Wiley & Sons Ltd. New York