Bayesian Estimation and Prediction for Exponentiated Generalized Inverted Kumaraswamy Distribution Based on Dual Generalized Order Statistics

Abstract

In this paper, the shape parameters, reliability and hazard rate functions of the exponentiated generalized inverted Kumaraswamy distribution are estimated using Bayesian approach. The Bayes estimators are derived under the squared error loss function and the linear-exponential loss function based on dual generalized order statistics. Credible intervals for the parameters, reliability and hazard rate functions are obtained. The Bayesian prediction (point and interval) for a future observation of the exponentiated generalized inverted Kumaraswamy distribution is obtained based on dual generalized order statistics. All results are specialized to lower record values and a numerical study is presented. Moreover, the theoretical results are applied on three real data sets.

Bayesian Estimation and Prediction for Exponentiated Inverted Topp-Leone Distribution

“…Eraikhuemen et al [9] introduced Bayesian and maximum likelihood estimation of the shape parameter of exponential inverse exponential distribution. Abd AL-Fattah et al [1] introduced Bayesian estimation and prediction for exponentiated generalized inverted Kumaraswamy distribution based on dual generalized order statistics. Many researchers have considered prediction for future observation from different lifetime distributions.…”

Bayesian and Non-Bayesian Estimation for The Parameter of Inverted Topp-Leone Distribution Based on Progressive Type I Censoring

“…In addition, it is employed in financial literature, environmental studies, and survival and reliability theory. Many researchers studied the inverted distributions and their applications; for example, [14] introduced the inverse Weibull, [4] reviewed the inverted Burr Type XII distribution, [2] discussed inverted Pareto Type I distribution, [5] described the inverted Pareto Type II distribution, [35] presented inverted exponential model, [6] studied the exponentiated inverted Weibull distribution and [1] introduced the inverted Kumaraswamy distribution. [38] introduced The Topp-Leone (TL) distribution as an alternative to beta distribution.…”

“…where β is the shape parameter. (1) illustrates the behavior of the ITL distribution for various values of β. The survival function is given by…”