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Bayesian Analysis of Topp-Leone Distribution under Different Loss Functions and Different Priors |
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PP: 109-118 |
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doi:10.18576/jsapl/030302
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Author(s) |
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Hummara Sultan,
S. P. Ahmad,
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Abstract |
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| 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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