Open AccessOn The Transmuted Powered Moment Exponential Distribution
Author(s) -
Zafar Iqbal,
Muhammad Rashad,
Abdur Razaq,
Muhammad Salman,
Afsheen Javed
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v13i430314
Subject(s) - mathematics , exponential distribution , moment (physics) , estimator , exponential function , order statistic , statistics , natural exponential family , quantile , quantile function , gamma distribution , moment generating function , exponential family , survival function , probability distribution , mathematical analysis , physics , classical mechanics
We introduce a new class of lifetime models called the transmuted powered moment exponential distribution. More specifically, the transmuted powered moment exponential distribution covers several new distributions. Survival analysis including survival function, hazard rate function and other related measures are computed. Analytical expressions for various mathematical properties of TPMED including rth moment, quantile function, inequality measures, and parameters are estimated by using maximum likelihood estimation and order statistics are also derived. A simulation study of the proposed distribution is performed. It is discovered that the Maximum Likelihood Estimators are consistent since the bias and Mean Square Error approach to zero when the sample size increases. The usefulness of the model associated with this distribution is illustrated by two real data sets and the new model provides a better fit than the models provided in literature.