A new wrapped exponential distribution
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Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We introduce a new wrapped exponential distribution named transmuted wrapped exponential (TWE) distribution, for the modeling of circular datasets by using the Transmutation Rank-Map method. This method is employed for the first time for a wrapped distribution with this study. The introduced distribution is more flexible than traditional wrapped exponential distribution. The paper provides the explicit form of important distributional properties of the introduced distribution such as expectation, median, moments, characteristic function, quantile function, hazard rate function and stress-strength reliability. Renyi and Shannon entropies are also obtained. The statistical inference problem for the TWE distribution is investigated using maximum likelihood, least squares and weighted least squares and comparative numerical study results are presented. Furthermore, we present a real dataset analysis.
Açıklama
Anahtar Kelimeler
Circular data, Wrapped distribution, Transmutation, Exponential distribution
Kaynak
Mathematical Sciences
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
12
Sayı
4
Künye
Yilmaz, A., Biçer, C.(2018). A new wrapped exponential distribution. Math Sci 12, 285–293.