Estimation of type II truncated Fr'echet inverse exponential distribution under censored data

Abstract

This paper proposes a new probability distribution called as type II truncated Fréchet inverse exponential distribution. Fundamental statistical properties like moments, incomplete moments, and quantile function of the proposed model are studied. The estimation of the parameter of the new model is approached by maximum likelihood method based on complete and censored samples. Asymptotic confidence interval of model parameters is investigated. We assess the numerical results to study the theoretical results. Superiority of the type II truncated Fréchet inverse exponential model over some known distributions is showed through one real data set.