Truncated Transmuted Exponential Distribution with Different Estimation Methods and Applications

In this study, we study and discuss a new truncated flexible distribution named the truncated transmuted exponential distribution. The probability density function of the new suggested model is decreasing, but its hazard rate function is increasing. Some fundamental statistical properties of the new distribution are computed such as moments, incomplete moments, moment generating function, quantile function, mean residual lifetime, mean past lifetime, order statistics, and extropy. Various approaches of estimation are considered include maximum likelihood, least squares, weighted least squares, Cramér-Von-Mises, maximum product of spacings, Anderson-Darling, right-tail Anderson-Darling and percentile methods. A simulation study is established to assess the accuracy of estimates through some measures. The importance of the truncated transmuted exponential model is demonstrated using real lifetime data, and its goodness-of-fit is evaluated against alternative models. This study offers a more accurate match to the data compared to other competing models.