On Proximity of Weighted and Exponential Distributions

Document Type

Article

Publication Date

2-2010

Publication Title

International Journal of Reliability, Quality and Safety Engineering

DOI

10.1142/S0218539310003639

ISSN

1793-6446

Abstract

In this paper stochastic relations and closure results for weighted and transformed distributions including the proportional hazards model are presented. Exponential approximations to the class of increasing failure rate (IFR) and decreasing failure rate (DFR) weighted distributions including transformed distributions with monotone weight functions are obtained. These include approximations via the proportional hazards and length-biased exponential distributions. Also, bounds and moment-type inequalities for weighted life distributions including proportional hazards models and some applications are presented.

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