New extension for Chen distribution based on [0, 1] Truncated Nadarajah-Haghighi-G family with two real data application

Abstract

The [0, 1] Truncated Nadarajah-Haghighi Chen distribution, a novel probability model with four parameters, is introduced. The analysis considers significant statistical characteristics of the distribution, such as the Rényi entropy, moments, incomplete moments, moment-generating function, and order statistics of the quantile function. The parameters of the new model were determined using maximum likelihood estimators for population parameters. A simulation study is done to estimate the model parameters of the TNHCh distribution. In addition, two sets of data were proposed to evaluate the compatibility of the new distribution with other comparable distributions.