Bayesian hypothesis testing of two normal samples using bootstrap prior technique

OR Olaniran, WB Yahya - Journal of Modern Applied …, 2017 - digitalcommons.wayne.edu
Journal of Modern Applied Statistical Methods, 2017digitalcommons.wayne.edu
The most important ingredient in Bayesian analysis is prior or prior distribution. A new prior
determination method was developed under the framework of parametric empirical Bayes
using bootstrap technique. By way of example, Bayesian estimations of the parameters of a
normal distribution with unknown mean and unknown variance conditions were considered,
as well as its application in comparing the means of two independent normal samples with
several scenarios. A Monte Carlo study was conducted to illustrate the proposed procedure …
Abstract
The most important ingredient in Bayesian analysis is prior or prior distribution. A new prior determination method was developed under the framework of parametric empirical Bayes using bootstrap technique. By way of example, Bayesian estimations of the parameters of a normal distribution with unknown mean and unknown variance conditions were considered, as well as its application in comparing the means of two independent normal samples with several scenarios. A Monte Carlo study was conducted to illustrate the proposed procedure in estimation and hypothesis testing. Results from Monte Carlo studies showed that the bootstrap prior proposed is more efficient than the existing method for determining priors and also better than the frequentist methods reviewed.
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