A New Generalization of One Parameter Quasi Exponential Distribution: Properties and Applications

Anwar Hassan¹ , Nazima Akhter² , Bilal Ahmad Para³

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.339-354, Apr-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.339354

Online published on Apr 30, 2019

Copyright © Anwar Hassan, Nazima Akhter, Bilal Ahmad Para . 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 article, we have introduced a new generalization of one parameter quasi exponential distribution using weighting technique. Important mathematical and statistical properties of the distribution have been derived and discussed. The expression for stochastic ordering, reliability measures and order statistics has been obtained. Maximum likelihood method of estimation along with Monte Carlo simulation has been discussed. Finally, real data set is analyzed to investigate the suitability of the proposed distribution in modeling lifetime data.

Key-Words / Index Term :
Quasi Exponential Distribution, Moments, Stochastic Ordering, Order Statistics, MLE, Lifetime Data

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