@article{ZNSL_2006_339_a4,
author = {S. Meintanis and Ya. Yu. Nikitin and A. V. Tchirina},
title = {A test of exponentiality versus alternatives containing the {RNBUE} class derived from the {Laplace} empirical transform},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {63--77},
year = {2006},
volume = {339},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_339_a4/}
}
TY - JOUR AU - S. Meintanis AU - Ya. Yu. Nikitin AU - A. V. Tchirina TI - A test of exponentiality versus alternatives containing the RNBUE class derived from the Laplace empirical transform JO - Zapiski Nauchnykh Seminarov POMI PY - 2006 SP - 63 EP - 77 VL - 339 UR - http://geodesic.mathdoc.fr/item/ZNSL_2006_339_a4/ LA - ru ID - ZNSL_2006_339_a4 ER -
%0 Journal Article %A S. Meintanis %A Ya. Yu. Nikitin %A A. V. Tchirina %T A test of exponentiality versus alternatives containing the RNBUE class derived from the Laplace empirical transform %J Zapiski Nauchnykh Seminarov POMI %D 2006 %P 63-77 %V 339 %U http://geodesic.mathdoc.fr/item/ZNSL_2006_339_a4/ %G ru %F ZNSL_2006_339_a4
S. Meintanis; Ya. Yu. Nikitin; A. V. Tchirina. A test of exponentiality versus alternatives containing the RNBUE class derived from the Laplace empirical transform. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 10, Tome 339 (2006), pp. 63-77. http://geodesic.mathdoc.fr/item/ZNSL_2006_339_a4/
[1] A. M. Abouammoh, R. Ahmad, and A. Khalique, “On a new better than used classes of life distributions”, Statist. Probab. Lett., 48 (2000), 189–194 | DOI | MR | Zbl
[2] I. A. Ahmad and A. R. Mugdadi, “Bounds of moment generating functions of some life distributions”, Statistical Papers, 46 (2005), 575–585 | DOI | MR | Zbl
[3] T. W. Anderson and D. A. Darling, “Asymptotic theory of certain “goodness-of-fit” criteria based on stochastic processes”, Ann. Math. Statist., 23 (1952), 193–212 | DOI | MR | Zbl
[4] R. R. Bahadur, “Stochastic comparison of tests”, Ann. Math. Stat., 31 (1960), 276–295 | DOI | MR | Zbl
[5] R. R. Bahadur, Some limit theorems in Statistics, CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, 1971 | MR | Zbl
[6] R. E. Barlow and F. Proshan, Statistical Theory of Reliability and Life Testing, International Series in Decision Processes, 13, Holt, Rinehart and Winston, New York, 1981 | MR
[7] A. Cabaña and A. J. Quiroz, “Using the empirical moment generating function in testing for the Weibull and the type I extreme value distributions”, Test, 14 (2005), 417–431 | DOI | MR | Zbl
[8] J. V. Deshpande and S. G. Purohit, Life-Time Data: Statistical Models and Methods, World Scientific Publishers, Singapore, 2006 | Zbl
[9] T. W. Epps, J. Singleton, and L. B. Pulley, “A test of separate families of distributions based on the empirical moment generating function”, Biometrika, 69 (1982), 391–399 | DOI | MR | Zbl
[10] N. Henze, “A new flexible class of omnibus tests for exponentiality”, Commun. Statist. Theor. Meth., 22 (1993), 115–133 | DOI | MR | Zbl
[11] N. Henze and B. Klar, “Testing exponentiality against the $\mathcal{L}$-class of life distributions”, Math. Method. Statist., 10 (2001), 232–246 | MR | Zbl
[12] N. Henze and S. G. Meintanis, “Tests of fit for exponentiality based on the empirical Laplace transform”, Statistics, 36 (2002), 147–161 | DOI | MR | Zbl
[13] T. P. Hill, V. Perez-Abreu, “Extreme–value moment goodness–of–fit tests”, Ann. Instit. Statist. Math., 53 (2001), 543–551 | DOI | MR | Zbl
[14] B. Klar, “On a test for exponentiality against Laplace order dominance”, Statistics, 37 (2003), 505–515 | DOI | MR | Zbl
[15] H. Lilliefors, “On the Kolmogorov-Smirnov test for the exponential distribution with mean unknown”, J. Amer. Stat. Ass., 64 (1969), 387–389 | DOI
[16] A. Luong and M. E. Thompson, “Minimum–distance methods based on quadratic distances for transforms”, Canad. J. Statist., 15 (1987), 239–251 | DOI | MR | Zbl
[17] Ya. Ya. Nikitin, Asymptotic efficiency of nonparametric tests, Cambridge University Press, 1995 | MR | Zbl
[18] Ya. Yu. Nikitin and A. V. Tchirina, “Bahadur efficiency and local optimality of a test for the exponential distribution based on the Gini statistic”, J. Ital. Stat. Soc., 5 (1996), 163–175 | DOI | MR
[19] R. H. Randles, “On the asymptotic normality of statistics with estimated parameters”, Ann. Statist., 10 (1982), 462–474 | DOI | MR | Zbl
[20] J. S. Rao and E. Taufer, “Testing exponentiality by comparing the empirical distribution function of the normalized spacings with that of the original data”, J. Nonpar. Statist., 15 (2003), 719–729 | DOI | MR | Zbl
[21] M. Shaked and J. G. Shanthikumar, Stochastic orders and their applications, Academic Press, NY, 1994 | MR | Zbl
[22] G. R. Shorack, “The best test of exponentiality against gamma alternatives”, J. Amer. Stat. Ass., 67 (1972), 213–214 | DOI | MR | Zbl
[23] J. J. Spinelli and M. A. Stephens, “Tests for exponentiality when origin and scale parameters are unknown”, Technometrics, 29 (1987), 471–476 | DOI | MR
[24] A. V. Tchirina, “Bahadur efficiency and local optimality of a test for exponentiality based on the Moran statistics”, J. Math. Sci., 127 (2005), 1812–1819 | DOI | MR