Open AccessA New Version of the Exponentiated Exponential Distribution: Copula, Properties and Application to Relief and Survival Times
Author(s) -
Hanaa Elgohari
Publication year - 2021
Publication title -
statistics, optimization and information computing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.297
H-Index - 12
eISSN - 2311-004X
pISSN - 2310-5070
DOI - 10.19139/soic-2310-5070-1093
Subject(s) - kurtosis , skewness , mathematics , exponential function , constant (computer programming) , statistics , exponential distribution , copula (linguistics) , bivariate analysis , probability density function , generalization , econometrics , mathematical analysis , computer science , programming language
In this paper, we introduce a new generalization of the Exponentiated Exponential distribution. Various structural mathematical properties are derived. Numerical analysis for mean, variance, skewness and kurtosis and the dispersion index is performed. The new density can be right skewed and symmetric with "unimodal" and "bimodal" shapes. The new hazard function can be "constant", "decreasing", "increasing", "increasing-constant", "upside down-constant", "decreasing nstant". Many bivariate and multivariate type model have been also derived. We assess the performance of the maximum likelihood method graphically via the biases and mean squared errors. The usefulness and flexibility of the new distribution is illustrated by means of two real data sets.