Author:
Hu Taizhong,Zhuang Weiwei
Abstract
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].
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Reference23 articles.
1. Hu, T. & Zhuang, W. (2005).A note on stochastic comparisons of generalized orderstatistics.Statistics & Probability Letters 72:163–170.
2. Cramer, E. & Kamps, U. (2001).Sequential k-out-of-n systems. In N. Balakrishnan & C.R. Rao (eds.), Handbook ofstatistics: Advances in reliability, Vol.20, Amsterdam:Elsevier, pp.301–372.
3. Bagai, I. & Kochar, S.C. (1986).On tail ordering and comparison of failure rates.Communications in Statistics: Theory and Methods 15:1377–1388.
4. Hu, T. & Zhuang, W. (2006).Stochastic comparisons of m-spacings.Journal of Statistical Planning and Inference 136:33–42.
5. Franco, M. , Ruiz, J.M. , & Ruiz, M.C. (2002).Stochastic orderings between spacings of generalized orderstatistics.Probability in the Engineering and Informational Sciences 16:471–484.
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