A Generalized Transmuted Moment Exponential Distribution: Properties and Application

Autor:	Khater A. E. Gad, Ibrahim B. Abdul-Moniem, Amal S. Hassan
Rok vydání:	2019
Předmět:	Physics Moment (mathematics) Exponential distribution Applied Mathematics Mathematical analysis
Zdroj:	Academic Journal of Applied Mathematical Sciences. :41-52
ISSN:	2415-2188 2415-5225
Popis:	This paper introduces a new generalization of moment exponential (or length biased) distribution. The new model is referred to as generalized transmuted moment exponential distribution. This model contains some new existing distributions. Structural properties of the suggested distribution including closed forms for ordinary and incomplete moments, quantile and generating functions and Rényi entropy are derived. Maximum likelihood estimation is employed to obtain the parameter estimators of the new distribution. We illustrate the importance of the new model by means of three applications to real data sets.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cb86880f1033239c01b9a6c12c0f861f https://doi.org/10.32861/ajams.65.41.52 Zobrazit plný text záznamu