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Some New Results on the Moment Generating Function Order and Related Life Distributions

Part of: Special processes Distribution theory

Published online by Cambridge University Press:  14 July 2016

Shuhong Zhang  and
Xiaohu Li
Shuhong Zhang*
Affiliation:
Lanzhou University
Xiaohu Li*
Affiliation:
Xiamen University
*
∗Postal address: School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, P. R. China.
∗∗Postal address: School of Mathematical Science, Xiamen University, Xiamen 361005, P. R. China. Email address: xhli@lzu.edu.cn
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Abstract

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In this paper we study the moment generating function order and the new better than used in the moment generating function order (NBUMG) life distributions. A closure property of this order under an independent random sum is deduced, and stochastic comparisons among the block replacement policy, the age replacement policy, the complete repair policy, and the minimal repair policy of an NBUMG component are investigated.

Keywords

Age replacementblock replacementcomplete repairminimal repairrandom sum

MSC classification

Secondary: 62E10: Characterization and structure theory 60K10: Applications (reliability, demand theory, etc.)
Type
Research Article
Information
Journal of Applied Probability , Volume 47 , Issue 4 , December 2010 , pp. 923 - 933
Copyright
Copyright © Applied Probability Trust 2010 

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