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The monotonicity of the reliability measures of the beta distribution

✍ Scribed by P.L. Gupta; R.C. Gupta


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
209 KB
Volume
13
Category
Article
ISSN
0893-9659

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✦ Synopsis


In this paper, we investigate the monotonic properties of the hazard (failure) rate and mean residual life function (life expectancy) of the beta distribution. The monotonic properties are sometimes very useful in identifying an appropriate model.


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We show that beta operators satisfy the property of monotonic convergence under convexity. This gives a positive answer to a question recently posed by M. K. Khan. Some additional properties, consequences and applications are also discussed. Throughout this paper, probabilistic methods play a fundam