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Probability in the Engineering and Informational Sciences Probability in the Engineering and Informational Sciences

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ON BOUNDS AND APPROXIMATING WEIGHTED DISTRIBUTIONS BY EXPONENTIAL DISTRIBUTIONS

Published online by Cambridge University Press:  01 June 2006

Broderick O. Oluyede
Broderick O. Oluyede
Affiliation:
Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460, E-mail: boluyede@georgiasouthern.edu
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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.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 20 , Issue 3 , July 2006 , pp. 517 - 528
Copyright
© 2006 Cambridge University Press

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References

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ON BOUNDS AND APPROXIMATING WEIGHTED DISTRIBUTIONS BY EXPONENTIAL DISTRIBUTIONS
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ON BOUNDS AND APPROXIMATING WEIGHTED DISTRIBUTIONS BY EXPONENTIAL DISTRIBUTIONS
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