Semantic Scholar Open Access 2021 40 sitasi

The Generalized Odd Generalized Exponential Family of Distributions: Properties, Characterizations and Application

M. Alizadeh I. Ghosh H. Yousof M. Rasekhi G. Hamedani

Lihat Sumber DOI

Abstrak

We introduce a new class of distributions called the generalized odd generalized exponential family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, quantile and generating functions, R ?́?nyi, Shannon and q-entropies, order statistics and probability weighted moments are derived. We also propose bivariate generalizations. We constructed a simple type Copula and intro-duced a useful stochastic property. The maximum likelihood method is used for estimating the model parameters. The importance and flexibility of the new family are illustrated by means of two applications to real data sets. We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors via a simulation study.

Topik & Kata Kunci

Mathematics

Penulis (5)

M. Alizadeh

I. Ghosh

H. Yousof

M. Rasekhi

G. Hamedani

Format Sitasi

APA MLA BibTeX

Alizadeh, M., Ghosh, I., Yousof, H., Rasekhi, M., Hamedani, G. (2021). The Generalized Odd Generalized Exponential Family of Distributions: Properties, Characterizations and Application. https://doi.org/10.6339/JDS.201707_15(3).0005

Akses Cepat

Lihat di Sumber doi.org/10.6339/JDS.201707_15(3).0005

Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Total Sitasi: 40×
Sumber Database: Semantic Scholar
DOI: 10.6339/JDS.201707_15(3).0005
Akses: Open Access ✓