THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION
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Tarih
2018
Yazarlar
Dergi Başlığı
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Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we introduce the five-parameter doubly-truncated exponentiated inverse Weibull distribution, where thetruncation points are known, and consider its basic properties. Formulas for moment generating function, characteristicfunction, mean, variance and kurtosis of the distribution are derived. Estimates of parameters are obtained using traditionalestimation methods; maximum likelihood, least squares and weighted least squares. Furthermore, in order to give a lowerbound for the standard errors of estimates of parameters, a Fisher information matrix is provided. A Monte-Carlo simulationstudy is designed and conducted to evaluate the performances of obtained estimators of parameters. Finally, a real dataexample is given to show the applicability of the proposed distribution.
Açıklama
Anahtar Kelimeler
Matematik, İstatistik ve Olasılık
Kaynak
Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :B-Teorik Bilimler
WoS Q Değeri
Scopus Q Değeri
Cilt
6
Sayı
1
