10.1007/s40096-018-0268-y

A new wrapped exponential distribution

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  • Abdullah Yilmaz1,
  • Cenker Biçer*2,
  1. Department of Actuarial Sciences, Kirikkale University, Kirikkale, 71450, TR
  2. Department of Statistics, Kirikkale University, Kirikkale, 71450, TR
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Published in Issue 2018-10-25

How to Cite

Yilmaz, A., & Biçer, C. (2018). A new wrapped exponential distribution. Mathematical Sciences, 12(4 (December 2018). https://doi.org/10.1007/s40096-018-0268-y
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Abstract

Abstract 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. Rényi 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.

Keywords

  • Circular data,
  • Wrapped distribution,
  • Transmutation,
  • Exponential distribution
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