A new statistical distribution: cubic rank transmuted Kumaraswamy distribution and its properties

Küçük Resim Yok

Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

NATL SCIENCE FOUNDATION SRI LANKA

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This article suggests a new statistical distribution named 'Cubic rank transmuted Kumaraswamy distribution' using cubic rank transmutation map. Various statistical properties of this new distribution such as, hazard function and its graphics, moments, variance, coefficients of skewness and kurtosis, moment generating function and order statistics are examined. In estimation problem, the maximum likelihood estimators of unknown parameters of this distribution are derived. A Monte Carlo simulation study based on bias and mean square error criteria of this estimator is conducted. Also, this new distribution is compared with other well known distributions in terms of fitting to the total milk production proportion, operation and empirical datasets in previous studies.

Açıklama

Anahtar Kelimeler

Cubic rank transmutation map, cubic rank transmuted Kumaraswamy distribution, maximum likelihood estimation, Monte-Carlo simulation

Kaynak

JOURNAL OF THE NATIONAL SCIENCE FOUNDATION OF SRI LANKA

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

46

Sayı

4

Künye