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The Beta Inverted Exponential Distribution: Properties and Applications

  • Singh, Bhupendra
  • Goel, Reetu
In this study, we propose a three-parameter beta inverted exponential distribution which contains generalized inverted exponential and inverted exponential distributions as special sub models. This distribution can be used effectively in the analysis of lifetime data since it accommodates nonmonotonic, unimodal and inverse bathtub-shaped hazard functions. We derive the Non-central moments, inverse moments, moment generating function, inverse moment generating function, mode, and also examine the distributional properties of order statistics. The maximum likelihood estimates with their standard errors and the asymptotic confidence intervals are obtained. Bayes estimates along with posterior standard errors and highest posterior density intervals of the parameters are also computed. Markov Chain Monte Carlo techniques are employed to simulate complex posterior densities of the parameters. Two real data sets are used to illustrate the competency of the proposed distribution.
Select Volume / Issue:
Year:
2015
Type of Publication:
Article
Keywords:
Beta Inverted Exponential Distribution; Maximum Likelihood Estimate; Bayes Estimate; Asymptotic Confidence Interval; Highest Posterior Density Interval; Gibbs Sampler; Metropolis Algorithm
Journal:
IJASM
Volume:
2
Number:
5
Pages:
132-141
Month:
September
Hits: 1279

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