Some New Facts of Transmuted Moment Exponential Distribution

Abstract

Probability distributions are useful for modeling datasets in several applied areas. Recently a new distribution, named transmuted size-biased exponential or transmuted moment exponential distribution has been proposed and studied. In this article, we derive some more properties of this distribution that have not been discussed earlier. The limit behavior of this distribution is studied. Some characterizations of transmuted moment exponential distribution are presented which are based on truncated moments and failure function. Different estimation methods for the estimation of model parameters can give guidelines to a researcher in choosing the feasible and appropriate method. An extensive simulation study is also performed to classify the best estimation method. The application of TME distribution is observed and different estimation methods are compared through a real data set.