Mathematical Sciences: Faculty Presentations (1991-2022)

Exponential Approximations for Length Biased and Weighted Residual Life Reliability Functions

Document Type

Presentation

Presentation Date

10-12-2007

Copyright

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Abstract or Description

The applications of weighted distributions to biased samples is well known. Applications in various areas including medicine, ecology, reliability, and branching processes can be seen in Patil and Rao (1978), Gupta and Kirmani (1990), Gupta and Keating (1985), and Oluyede (1999) to mention just a few authors. In this note, we present stochastic inequalities, bounds and stability results on the distance between length-biased reliability functions as well as weighted residual life reliability functions with monotone weight functions and their exponential counterparts in the class of distribution functions with increasing or decreasing hazard rate and mean residual life functions. Some applications are also presented.

Sponsorship/Conference/Institution

International Conference on Advances in Interdisciplinary Statistics and Combinatorics (AISC)

Location

Greensboro, NC

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