Open AccessInference on a four-parameter generalized weighted exponential distribution
Author(s) -
Ramin Kazemi,
Akram Kohansal,
Afshin Fallah,
Fariba Nasiri
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2103827k
Subject(s) - mathematics , kurtosis , estimator , exponential distribution , statistics , lorenz curve , skewness , exponential function , confidence distribution , moment generating function , exponential family , natural exponential family , confidence interval , probability density function , mathematical analysis , gini coefficient , economic inequality , inequality
In this paper, we introduce a flexible extension of the generalized weighted exponential distribution which is called four-parameter generalized weighted exponential (FGWE) distribution. Theoretical properties of this model including the mode, median, moment generator function, moments, mean deviations, mean residual life, coefficients of skewness and kurtosis, hazard function, survival function, Bonferroni and Lorenz curves, reliability probability, entropy measures and stochasting ordering are derived and studied in details. We develop the maximum likelihood estimators of the unknown parameters and their corresponding asymptotic confidence intervals. A simulation study and a real world application are also worked out to assess the maximum likelihood estimators and to illustrate the applicability of the proposed distribution in practice.