On The Transmuted Powered Moment Exponential Distribution
Zafar Iqbal *
Department of Statistics, Government College, Gujranwala, Pakistan.
Muhammad Rashad
Superior University, Lahore, Pakistan.
Abdur Razaq
Crop Reporting Service, Department of Agriculture, Pakistan.
Muhammad Salman
Crop Reporting Service, Department of Agriculture, Pakistan.
Afsheen Javed
Punjab College, Gujrat, Pakistan.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Transmuted power moment exponential distribution (TPMED), rth moment quantile function, inequality measures, maximum likelihood estimation and order statistics