PROPERTIES OF GENERALIZED ORDER STATISTICS OF TRUNCATED INVERTED KUMARASWAMY EXPONENTIAL DISTRIBUTION

Abstract

This paper deals with the estimation of simplified expressions of moments relation of the Order Statistics, Generalized Order Statistics and Dual Generalized Order Statistics of Truncated Inverted Kumaraswamy Exponential Distribution. Maximum Likelihood Estimators of Generalized Order Statistics of the unknown parameters of the distribution has been obtained. Bayesian Estimates
of the unknown parameters have also been estimated under LINEX and Square-Error loss function using Progressive Type II Censoring Scheme. MCMC algorithms has been employed to obtain Bayesian estimates from unexplicit expression form. 95% confidence intervals and credible interval has been obtained for precisonal purposes. Finally, Simulation Study has been performed for numerical purposes and further, a real life data is used to obtain numerical results.