Bayesian Inference and Simulation for Logarithm Transformed (LT) Method Using Stan
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Jul 21, 2022
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Mohammed H AbuJarad
Department of Statistics and Operations Research, Aligarh Muslim University
Eman AbuJarad
Department of Statistics and Operations Research, Aligarh Muslim University
Athar Ali Khan
Department of Statistics and Operations Research, Aligarh Muslim University
Abstract
In this article, the researchers set up one and two parameters life model called the Logarithm Transformed Exponential Distribution (LTE) and Logarithm Transformed Weibull Distribution (LTW). The researchers give extensive consequence of the survival function and hazard rate function. To fit this model as survival model and hazard rate function the researchers adopted to use Bayesian approach. A real survival data set is used to illustrate this work. Application is done by R and Stan, then a comparison of the two models is conducted by using LOO package to find the best model and simulation. R and Stan codes have been given to actualize censoring mechanism via optimization and also simulation tools.
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