Transmuted Generalized Lindley Distribution

M. Elgarhy; M.Rashed; A.W.Shawki

doi:https://doi.org/10.14445/22315373/IJMTT-V29P520

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 29 | Number 2 | Year 2016 | Article Id. IJMTT-V29P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V29P520

Transmuted Generalized Lindley Distribution

M. Elgarhy, M.Rashed, A.W.Shawki

Abstract

The Lindley distribution is one of the important for studying stress-strength reliability modeling. Besides, some researchers have proposed new classesof distributions based on modifications of the quasi Lindley distribution. In this paper, a new generalized version of this distribution which is called the transmutedgeneralized Lindley (TGL) distribution is introduced. A comprehensive mathematical treatment of the TGL distribution is provided. We derive the rth moment and moment generating function this distribution. Moreover, we discuss the maximum likelihood estimation of this distribution.

Keywords

Generalized Lindley distribution; Survival function; Moments. Maximum likelihood estimation.

References

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Citation :

M. Elgarhy, M.Rashed, A.W.Shawki, "Transmuted Generalized Lindley Distribution," International Journal of Mathematics Trends and Technology (IJMTT), vol. 29, no. 2, pp. 145-154, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V29P520