A New Log Lindley Distribution with Applications

Authors

Fatimah S, A, Alzawq, Department of Psychology, Faculty of Arts, Sabratha University, Sabratha, Libya\\ Department of Mathematics, Faculty of Science, AL Azhar University, Cairo, EgyptFollow
Ahmed K, ElKholy, Department of Mathematics, Faculty of Science, AL Azhar University, Cairo, EgyptFollow
Abdul Hadi N. Ahmed, Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12631, EgyptDepartment of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12631, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

This paper introduces a new generalization of the Lindley distribution introduced by [1], using the basic idea of [2] and along the lines of [3]. The new distribution is a compound of the Lindley and logarithmic distributions. We refer to the new model as the logarithmic-Lindley (Log-L) distribution. This model is capable of modeling various shapes of aging and failure criteria. The properties of the Log-L model are discussed, and the maximum likelihood estimation method is used to evaluate the parameters involved. Finally, the usefulness of the new model for modeling reliability data is illustrated using a two real data sets with simulation study.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/jsap/130126

Recommended Citation

S, A, Alzawq, Fatimah; K, ElKholy, Ahmed; and Hadi N. Ahmed, Abdul (2024) "A New Log Lindley Distribution with Applications," Journal of Statistics Applications & Probability: Vol. 13: Iss. 1, Article 26.
DOI: https://dx.doi.org/10.18576/jsap/130126
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol13/iss1/26