On Bounds and Approximating Weighted Distributions by Exponential Distributions

Document Type

Article

Publication Date

7-2006

Publication Title

Probability in the Engineering and Informational Sciences

DOI

10.1017/S0269964806060311

ISSN

1469-8951

Abstract

In this article, we obtain error bounds for exponential approximations to the classes of weighted residual and equilibrium lifetime distributions with monotone weight functions. These bounds are obtained for the class of distributions with increasing (decreasing) hazard rate and mean residual life functions.

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