THE NEW WEIGHTED INVERSE RAYLEIGH DISTRIBUTION AND ITS APPLICATION
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, a new weighted version of the inverse Rayleigh distribution based on two different weight functions is introduced. Some statistical and reliability properties of the introduced distribution including the moments, moment generating function, entropy measures (i.e., Shannon and Renyi) and survival and hazard rate functions are derived. The maximum likelihood estimators of the unknown parameters cannot be obtained in explicit forms. So, a numerical method has been required to compute maximum likelihood estimates. Finally, the daily mean wind speed data set has been analysed to show the usability of the new weighted inverse Rayleigh distribution.
Açıklama
Anahtar Kelimeler
New weighted inverse Rayleigh distribution, Shannon entropy, hazard rate function, Fisher information matrix, wind speed data
Kaynak
Facta Universitatis-Series Mathematics and Informatics
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
34
Sayı
3
