STOCHASTIC ORDERINGS BETWEEN p-SPACINGS OF GENERALIZED
ORDER STATISTICS FROM TWO SAMPLES
Taizhong Hu a1andWeiwei Zhuang a1 a1 Department of Statistics and Finance, University
of Science and Technology of China, Hefei, Anhui 230026,
People's Republic of China, E-mail:
thu@ustc.edu.cn; weizh@mail.ustc.edu.cn
The concept of generalized order statistics was introduced as a
unified approach to a variety of models of ordered random variables. The
purpose of this article is to investigate conditions on the distributions
and the parameters on which the generalized order statistics are based to
establish the likelihood ratio ordering of general p-spacings and
the hazard rate and the dispersive orderings of (normalizing) simple
spacings from two samples. We thus strengthen and complement some results
in Franco, Ruiz, and Ruiz [7] and
Belzunce, Mercader, and Ruiz [5]. This
article is a continuation of Hu and Zhuang [10].
