Open AccessA New One-parameter G Family of Compound Distributions: Copulas, Statistical Properties and Applications
Author(s) -
Mohamed Abo Raya
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-2310-5070-1239
Subject(s) - bivariate analysis , constant (computer programming) , copula (linguistics) , mathematics , flexibility (engineering) , hazard , probability density function , function (biology) , statistical parameter , statistical physics , statistics , econometrics , computer science , physics , chemistry , organic chemistry , evolutionary biology , biology , programming language
This work introduces a new one-parameter compound G family. Relevant statistical properties are derived. The new density can be “asymmetric right skewed with one peak and a heavy tail”, “symmetric” and “left skewedwith one peak”. The new hazard function can be “upside-down”, “upside-down-constant”, “increasing”, “decreasing” and “decreasing-constant”. Many bivariate types have been also derived via different common copulas. The estimation of the model parameters is performed by maximum likelihood method. The usefulness and flexibility of the new family is illustrated by means of two real data sets.