EXTENSION OF GENERALIZED INTEGRO-EXPONENTIAL FUNCTION AND ITS APPLICATION IN STUDY OF CHEN DISTRIBUTION

Applicable Analysis and Discrete Mathematics

article

Tibor K. Pogany¹  Gauss M. Cordeiro²  Muhammad H. Tahir³  Hari M. Srivastava⁴ 

[1] Faculty of Maritime Studies, University of Rijeka, Croatia Institute of Applied Mathematics, Obuda University;Department of Statistics, Federal University of Pernambuco;Department of Statistics, The Islamia University of Bahawalpur;Department of Mathematics and Statistics, University of Victoria;Department of Medical Research, China Medical University Hospital, China Medical University

关键词: R'enyi entropy;    Grunwald-Letnikov fractional derivative;    generalized integro-exponantial function;    Chen distribution;    moments;   

DOI  :  10.2298/AADM1702434P

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

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

【 授权许可】

Unknown