Statistical Properties and Parameters Estimation for a New Truncated Lomax Exponential-G Family

A novel family of statistical distributions based on the truncated Lomax exponential distribution over the interval [0, 1], called ([0, 1] TLE-G) is proposed in this study. Certain characteristics of the family are derived, among which are the moments, moment-generating function, quantile function, incomplete moments, order statistics, Renyi functions, and Lorenz Bonferroni curves. The truncated Lomax exponential Rayleigh distribution, as a sub-model from the ([0, 1] TLE-G) family, is examined. The flexibility of the new distribution is compared with some other well-known models in the literature by using a real-life dataset. The results of the suggested distribution outperform the other competing distributions.