References
- Aly , E.-E. A. A. ( 1990 ). A simple test for dispersive ordering . Statist. Probab. Lett. 9 : 323 – 325 .
- Arnold , B. C. , Balakrishnan , N. , Nagaraja , H. N. ( 2008 ). A First Course in Order Statistics . SIAM Classics in Applied Mathematics. Philadelphia : SIAM .
- Baíllo , A. , Berrendero , J. R. , Cárcamo , J. ( 2009 ). Tests for zero-inflation and overdispersion: A new approach based on the stochastic convex order . Comput. Statist. Data Anal. 53 : 2628 – 2639 .
- Bhattacharjee , M. C. , Bhattacharya , R. N. ( 2000 ). Stochastic equivalence of convex ordered distributions . Probab. Engrg. Inform. Sci. 14 : 33 – 48 .
- Belzunce , F. , Candel , J. , Ruiz , J. M. ( 2000 ). Testing mean residual alternatives by dispersion of residual lives . J. Statist. Plann. Infer. 86 : 113 – 127 .
- Belzunce , F. , Li , X. , Pinar , J. F. , Ruiz , J. M. ( 2005a ). Test for the total time on test transform order . J. Statist. Plann. Infer. 133 : 111 – 121 .
- Belzunce , F. , Pinar , J. F. , Ruiz , J. M. ( 2001 ). A family of tests for the right spread order . Statist. Probab. Lett. 54 : 79 – 92 .
- Belzunce , F. , Pinar , J. F. , Ruiz , J. M. ( 2005b ). On testing the dilation order and HNBUE alternatives . Ann. Instit. Statist. Math. 57 : 803 – 815 .
- Berrendero , J. R. , Cárcamo , J. ( 2009 ). Characterizations of exponentiality within the HNBUE class and related tests . J. Statist. Plann. Infer. 139 : 2399 – 2406 .
- Berrendero , J. R. , Cárcamo , J. ( 2011 ). Tests for the second order stochastic dominance based on L-statistics . J. Bus. Econom. Statist. 2 : 260 – 270 .
- de la Cal , J. , Cárcamo , J. ( 2006 ). Stochastic orders and majorization of mean order statistics . J. Appl. Probab. 43 : 704 – 712 .
- de la Cal , J. , Cárcamo , J. ( 2010 ). Inverse stochastic dominance, majorization, and mean order statistics . J. Appl. Probab. 47 : 277 – 292 .
- Denuit , M. , Lefèvre , C. , Shaked , M. ( 2000 ). On the theory of high convexity stochastic orders . Statist. Probab. Lett. 47 : 287 – 293 .
- Hendi , M. I. , Al-Nachawati , H. , Montasser , M. , Alwasel , I. A. ( 1998 ). An exact test for HNBUE class of life distributions . J. Statist. Comput. Simul. 60 : 161 – 275 .
- Klar , B. ( 2000 ). A class of test for exponentiality against HNBUE alternatives . Statist. Probab. Lett. 47 : 199 – 207 .
- Klefsjö , B. ( 1983 ). Testing exponentiality against HNBUE . Scand. J. Statist. 10 : 65 – 75 .
- Kochar , S. C. , Li , X. , Shaked , M. ( 2002 ). The total time on test transform and the excess wealth stochastic orders of distributions . Adv. Appl. Probab. 34 : 826 – 845 .
- Li , D. , Rao , M. B. , Tomkins , R. J. ( 2001 ). The law of the iterated logarithm and central limit theorem for L-statistics . J. Multivariate Anal. 78 : 191 – 217 .
- Lieblein , J. (1955). On moments of order statistics from the Weibull distribution. Ann. Mathemat. Statist. 26:330–333.
- Marzec , L. , Marzec , P. ( 1991 ). On testing equality in dispersion of two probability distributions . Biometrika 78 : 923 – 925 .
- Murthy , D. N. P. , Xie , M. , Jiang , R. ( 2004 ). Weibull Models . New York : Wiley .
- Rinne , H. ( 2009 ). The Weibull Distribution. A Handbook . Boca Raton , FL : Chapman & Hall/CRC .
- Serfling , R. J. ( 1980 ). Approximation Theorems of Mathematical Statistics . New York : Wiley .
- Shaked , M. , Shanthikumar , J. G. ( 2006 ). Stochastic Orders . New York : Springer Series in Statistics .
- Shorack , G. R. , Wellner , J. A. ( 1986 ). Empirical Processes with Applications to Statistics . New York : Wiley .
- Sordo , M. A. , Ramos , H. M. ( 2007 ). Characterization of stochastic orders by L-functionals . Statist. Pap. 48 : 249 – 263 .