The exponentiated Kumaraswamy-power function distribution

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BURSA N., Ozel G.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.46, sa.2, ss.277-292, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.15672/hjms.2017.411
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.277-292
  • Anahtar Kelimeler: Kumaraswamy-power function distribution, maximum likelihood estimation, hazard function
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, the exponentiated Kumaraswamy-power function distribution is introduced. Some structural properties of the proposed distribution including the shapes of the density, hazard and quantile functions are explored. Besides, skewness and kurtosis measures are investigated. The method of maximum likelihood is used for estimating model parameters. For different parameter settings and sample sizes, a simulation study is performed and the performance of the new distribution is compared with some well-known distributions. Then, an application is presented with a real data set to illustrate the usefulness of the proposed distribution.