Extension of generalized integro-exponential function and its application in study of Chen distribution | Zendy

Tibor K. Pogány | Zendy; Gauss M. Cordeiro | Zendy; M. H. Tahir | Zendy; H. M. Srivastava | Zendy

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Extension of generalized integro-exponential function and its application in study of Chen distribution

Author(s) -

Tibor K. Pogány,

Gauss M. Cordeiro,

M. H. Tahir,

H. M. Srivastava

Publication year - 2017

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm1702434p

Subject(s) - mathematics , quantile function , exponential function , chen , quantile , power series , exponential distribution , series (stratigraphy) , generating function , natural exponential family , mathematical analysis , moment generating function , probability distribution , statistics , paleontology , biology

In 2000 Chen introduced a two-parameter lifetime model and has reported only a few mathematical properties moments, quantile and generating functions, among others. In this article, we derive a power series expansion for newly introduced real upper parameter generalized integro-exponential function Eps(z) extending certain Milgram's findings. By our novel results we derive closed-form expressions for the moments, generating function, Renyi entropy and power series for the quantile function of the Chen distribution.

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