STATISTICAL PROPERTIES AND SIMULATION-BASED BAYESIAN INFERENCE FOR ODD CHEN–GAMMA DISTRIBUTION USING TWO PRIOR FUNCTIONS

In this study, a new two-parameters lifetime distribution called the Odd Chen Gamma distribution is proposed .The probability density functioncumulative distribution function, reliability function, and some statistical important properties of this distribution were derived.Bayesian analysis was carried out using two types of prior distributions for the unknown parameter: informative and non-informative prior.The estimator of the shape parameter was derived under both the Squared Error Loss and Weighted Loss functions.A simulation experiment was carried out to assess the efficiency of the Bayesian estimators by examining their mean squared error under different configurations of parameter values and varying sample sizes.