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Journal of Statistics Applications & Probability Letters
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Vol. 3 > No. 3

 
   

Bayesian Analysis of Topp-Leone Distribution under Different Loss Functions and Different Priors

PP: 109-118
doi:10.18576/jsapl/030302
Author(s)
Hummara Sultan, S. P. Ahmad,
Abstract
Topp-Leone distribution is a continuous unimodal distribution with wide range of applications in reliability fields and is used for modeling lifetime phenomena. Topp-Leone distribution has a J-shaped density function with a hazard function of bathtub-shaped. This distribution has attracted recent attention for the statistician but has not been discussed in detail in Bayesian approach. The present study focus on the Bayesian estimation of shape parameter of Topp-Leone Distribution under various simple and mixture priors along with different loss functions. The prior predictive and posterior predictive distribution has also been derived. The simulation study has been conducted to compare the different Baye’s estimators under different loss functions. A real life example has also been discussed to compare the performance of these estimates.

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