An Extended Weighted Exponential Distribution

Authors

Abbas Mahdavi, Department of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, IranFollow
Leila Jabari, Department of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

Abstract

A new class of weighted distributions is proposed by incorporating an extended exponential distribution in Azzalini’s (1985) method. Several statistics and reliability properties of this new class of distribution are obtained. Maximum likelihood estimators of the unknown parameters cannot be obtained in explicit forms; they have to be obtained by solving some numerical methods. Two data sets are analyzed for illustrative purposes, and show that the proposed model can be used effectively in analyzing real data.

DOI

10.22237/jmasm/1493597760

Recommended Citation

Mahdavi, A. & Jabbari, L. (2017). An extended weighted exponential distribution. Journal of Modern Applied Statistical Methods, 16(1), 296-307. doi: 10.22237/jmasm/1493597760