Scopus
🔓 Açık Erişim
A new statistical distribution: Cubic rank transmuted Kumaraswamy distribution and its properties
Journal of the National Science Foundation of Sri Lanka · Ocak 2018
Makale Bilgileri
DergiJournal of the National Science Foundation of Sri Lanka
Yayın TarihiOcak 2018
Cilt / Sayfa46 · 505-518
Scopus ID2-s2.0-85072090999
Erişim🔓 Açık Erişim
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.
Yazarlar (2)
1
Buğra Saraçoğlu
2
Caner Tanış
Anahtar Kelimeler
Cubic rank transmutation map
Cubic rank transmuted kumaraswamy distribution
Maximum likelihood estimation
Monte-carlo simulation
Kurumlar
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
11
Atıf
2
Yazar
4
Anahtar Kelime