A New Truncated Lindley-Generated Family of Distributions: Properties, Regression Analysis, and Applications

We present the truncated Lindley-G (TLG) model, a novel class of probability distributions with an additional shape parameter, by composing a unit distribution called the truncated Lindley distribution with a parent distribution function G(x). The proposed model's characteristics including critical points, moments, generating function, quantile function, mean deviations, and entropy are discussed. Also, we introduce a regression model based on the truncated Lindley-Weibull distribution considering two systematic components. The model parameters are estimated using the maximum likelihood method. In order to investigate the behavior of the estimators, some simulations are run for various parameter settings, censoring percentages, and sample sizes. Four real datasets are used to demonstrate the new model's potential.

Automated summary

We present the truncated Lindley-G (TLG) model, which is a new class of probability distributions with an additional shape parameter. The characteristics of the proposed model, including critical points, moments, generating function, and quantile function, are discussed. We also introduce a regression model based on the truncated Lindley-Weibull distribution and estimate the model parameters using the maximum likelihood method. Simulations and real data analysis demonstrate the potential of the new model.