The type I quasi lambert family: properties, characterizations and different estimation methods

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Küçük Resim

Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Punjab

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

A new G family of probability distributions called the type I quasi Lambert family is defined and applied for modeling real lifetime data. Some new bivariate type G families using "Farlie-Gumbel-Morgenstern copula", "modified Farlie-Gumbel-Morgenstern copula", "Clayton copula" and "Renyi's entropy copula" are derived. Three characterizations of the new family are presented. Some of its statistical properties are derived and studied. The maximum likelihood estimation, maximum product spacing estimation, least squares estimation, Anderson-Darling estimation and Cramer-von Mises estimation methods are used for estimating the unknown parameters. Graphical assessments under the five different estimation methods are introduced. Based on these assessments, all estimation methods perform well. Finally, an application to illustrate the importance and flexibility of the new family is proposed

Açıklama

Anahtar Kelimeler

Characterizations, Copula, Maximum Product Spacing, Maximum Likelihood, Anderson-Darling Estimation

Kaynak

Pakistan Journal of Statistics and Operation Research

WoS Q Değeri

N/A

Scopus Q Değeri

Q1

Cilt

17

Sayı

3

Künye

Hamedani, G. G., Korkmaz, M. Ç., & Yousof, H. M. (2021). The type I quasi lambert family: properties, characterizations and different estimation methods. Pakistan Journal of Statistics and Operation Research, 17(3), 545-558.