A new wrapped exponential distribution

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Küçük Resim

Tarih

2018

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.