The type II quasi lambert G family of probability distributions

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Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

UNIV PUNJAB

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Probability distributions and their families play an effective role in statistical modeling and statistical analysis. Recently, researchers have been increasingly interested in generating new families with high flexibility and low number of milestones. We propose and study a new family of continuous distributions. Relevant properties are presented. Many bivariate versions of the new family are derived under the Farlie-Gumbel-Morgenstern copula, modified Farlie-Gumbel-Morgenstern copula, Clayton copula, entropy copula and Ali-Mikhail-Haq copula. We present two characterizations of the new family. Different estimation methods such as the maximum likelihood estimation, maximum product spacing estimation, least squares estimation, weighted least squares estimation, Anderson-Darling estimation and the Cramer-von Mises estimation methods are considered. Simulation studies for comparing estimation methods are performed based on the baseline Lindley model. Two real data sets are analyzed for comparing the competitive models.

Açıklama

Anahtar Kelimeler

Characterizations, Maximum product spacing, Maximum likelihood, Clayton copula, Anderson-darling estimation, Ali-Mikhail-Haq Copula

Kaynak

Pakistan Journal Of Statistics And Operation Research

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

18

Sayı

4

Künye

Hamedani, G. G., Korkmaz, M. C., Butt, N. S., & Yousof, H. M. (2022). The Type II Quasi Lambert Family. Pakistan Journal of Statistics and Operation Research, 963–983. ‌