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Title

Extended Poisson Exponential Distribution.

Authors

Fatima, Anum; Roohi, Ayesha

Abstract

A new mixture of Modified Exponential (ME) and Poisson distribution has been introduced in this paper. Taking the Maximum of Modified Exponential random variable when the sample size follows a zero truncated Poisson distribution we have derived the new distribution, named as Extended Poisson Exponential distribution. This distribution possesses increasing and decreasing failure rates. The Poisson- Exponential, Modified Exponential and Exponential distributions are special cases of this distribution. We have also investigated some mathematical properties of the distribution along with Information entropies and Order statistics of the distribution. The estimation of parameters has been obtained using the Maximum Likelihood Estimation procedure. Finally we have illustrated real data applications of our distribution.

Subjects

POISSON distribution; DISTRIBUTION (Probability theory); MAXIMUM likelihood statistics; DATA analysis; MAXIMUM likelihood detection; MATHEMATICAL models

Publication

Pakistan Journal of Statistics & Operation Research, 2015, Vol 11, Issue 3, p361

ISSN

1816-2711

Publication type

Academic Journal

DOI

10.18187/pjsor.v11i3.708

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