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Open AccessJournal ArticleDOI

Exponential-Discrete Generalized Exponential Distribution: A New Compound Model

Vahid Nekoukhou, +1 more
- 31 May 2016 - 
- Vol. 15, Iss: 2, pp 169-180
TLDR
This new model is obtained by compounding the exponential distribution and discrete generalized exponential distribution of a second type, which is a generalization of the geometric distribution.
Abstract
In this paper, the researchers attempt to introduce a new generalization of the exponential distribution. This new model is obtained by compounding the exponential distribution and discrete generalized exponential distribution of a second type, which is a generalization of the geometric distribution. The new introduced model contains the exponential-geometric distribution as a special case. Some basic distributional properties, moments and order statistics of the new model are discussed. Estimation of the parameters is illustrated, using the maximum likelihood method, and the model with a real data set is also examined.

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Journal ArticleDOI

Exponentiated Weibull family for analyzing bathtub failure-rate data

TL;DR: In this article, a simple generalization of the Weibull distribution is presented, which is well suited for modeling bathtub failure rate lifetime data and for testing goodness-of-fit of the weibull and negative exponential models as subhypotheses.
Journal ArticleDOI

How to Identify a Bathtub Hazard Rate

TL;DR: In this paper, a new test statistic, based on the TTT plot, for testing if a random sample is generated from a life distribution with constant versus bathtub-shaped hazard rate is presented.
Journal ArticleDOI

A lifetime distribution with decreasing failure rate

TL;DR: In this paper, a two-parameter distribution with decreasing failure rate is introduced and various properties are discussed and the estimation of parameters is studied by the method of maximum likelihood, which is attained by the EM algorithm and expressions for their asymptotic variances and covariances are obtained.
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