A New Life Time Model: The Generalized Rayleigh-Truncated Negative Binomial Distribution

J. Gillariose¹ , L. Tomy²

Section:Research Paper, Product Type: Journal-Paper
Vol.5 , Issue.6 , pp.1-12, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.112

Online published on Dec 31, 2018

Copyright © J. Gillariose, L. Tomy . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we introduced a generalized form of Rayleigh distribution. Shapes of probability density function and hazard rate function along with sub-models and statistical properties of the proposed distribution are provided. The usefulness of the new distribution is illustrated through real data set by comparing with other generalizations of the Rayleigh distribution. A reliability test plan for acceptance or rejection of a lot of products submitted for inspection with lifetimes governed by this distribution is developed and illustrated with real data set.

Key-Words / Index Term :
Generalized family, Maximum likelihood estimation, Rayleigh distribution, Truncated negative binomial distribution

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