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Article
The Total Time on Test Transform and the Excess Wealth Stochastic Orders of Distributions
Advances in Applied Probability (2002)
  • Subhash Kochar, Portland State University
  • Xiaohu Li
  • Moshe Shaked
Abstract

For nonnegative random variables X and Y we write X≤tttY if TX(p)≤TY(p) for all p∈(0,1), where TX(p)≡∫F−1(p)0(1−F(x))dx and TY(p)≡∫G−1(p)0(1−G(x))dx; here F and G denote the distribution functions of X and Y , respectively. The purpose of this article is to study some properties of this new stochastic order. New properties of the excess wealth (or right spread) order, and of other related stochastic orders, are obtained in the present article as well. Applications in the statistical theory of reliability and in economics are included.

Disciplines
Publication Date
2002
Publisher Statement
This is the preprint version of the article
Citation Information
Subhash Kochar, Xiaohu Li and Moshe Shaked. "The Total Time on Test Transform and the Excess Wealth Stochastic Orders of Distributions" Advances in Applied Probability (2002)
Available at: http://works.bepress.com/subhash_kochar/43/