Faculty Publications

Residual Coefficient Of Variation And Some Characterization Results

Document Type

Article

Keywords

62E, 62N, Bivariate distributions, Mean residual life, Monotonicity, Variance residual life

Journal/Book/Conference Title

Journal of Statistical Planning and Inference

Volume

91

Issue

1

First Page

23

Last Page

31

Abstract

In life-testing situations, the additional lifetime that a component has survived until time t is called the residual life function of the component. In this paper, we study the residual coefficient of variation, γ(t), and show that γ(t) characterizes the distribution in the univariate as well as the bivariate case. Some examples are presented to illustrate the procedure. Finally, conditions on the failure rate and the mean residual life functions are investigated which ensure the monotonicity of γ(t). © 2000 Elsevier Science B.V.

Department

Department of Mathematics

Original Publication Date

11-1-2000

DOI of published version

10.1016/s0378-3758(00)00134-8

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