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has been cited by the following article:

• TITLE: The Doubly Truncated Generalized Log-Lindley Distribution

  AUTHORS: Abd-Elmoneim A. M. Teamah, Hussin M. Elmenify

  KEYWORDS: Log-Lindley Distribution, Quantile Function, Maximum Likelihood Estimation, Doubly Truncated

  JOURNAL NAME: Applied Mathematics, Vol.14 No.7, July 31, 2023

  ABSTRACT: The aim of this paper is to present generalized log-Lindely (GLL) distribution, as a new model, and find doubly truncated generalized log-Lindely (DTGLL) distribution, truncation in probability distributions may occur in many studies such as life testing, and reliability. We illustrate the applicability of GLL and DTGLL distributions by Real data application. The GLL distribution can handle the risk rate functions in the form of panich and increase. This property makes GLL useful in survival analysis. Various statistical and reliability measures are obtained for the model, including hazard rate function, moments, moment generating function, mean and variance, quantiles function, Skewness and kurtosis, mean deviations, mean inactivity time and strong mean inactivity time. The estimation of model parameters is justified by the maximum Likelihood method. An application to real data shows that DTGLL distribution can provide better suitability than GLL and some other known distributions.