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A new heavy-tailed distribution defined on the bounded interval: the logit slash distribution and its application

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Date

2020

Author

Korkmaz, Mustafa Çağatay

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Citation

Korkmaz, M. Ç. (2020): A new heavy-tailed distribution defined on the bounded interval: the logit slash distribution and its application, Journal of Applied Statistics, 47(12), 2097-2119, DOI: 10.1080/02664763.2019.1704701

Abstract

This paper proposes a new heavy-tailed and alternative slash type distribution on a bounded interval via a relation of a slash random variable with respect to the standard logistic function to model the real data set with skewed and high kurtosis which includes the outlier observation. Some basic statistical properties of the newly defined distribution are studied. We derive the maximum likelihood, least-square, and weighted least-square estimations of its parameters. We assess the performance of the estimators of these estimation methods by the simulation study. Moreover, an application to real data demonstrates that the proposed distribution can provide a better fit than well-known bounded distributions in the literature when the skewed data set with high kurtosis contains the outlier observations.

Source

Journal of Applied Statistics

Volume

47

Issue

12

URI

https://hdl.handle.net/11494/1906

Collections

  • Eğitim Bilimleri Bölümü Koleksiyonu [103]
  • Scopus İndeksli Yayınlar Koleksiyonu [879]
  • WoS İndeksli Yayınlar Koleksiyonu [1133]



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