A new generalized two-sided class of distributions with an emphasis on two-sided generalized normal distribution


Korkmaz M. C. , GENÇ A. İ.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, cilt.46, sa.2, ss.1441-1460, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 46 Konu: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/03610918.2015.1005233
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Sayfa Sayıları: ss.1441-1460

Özet

The ordinary-G class of distributions is defined to have the cumulative distribution function (cdf) as the value of the cdf of the ordinary distribution F whose range is the unit interval at G, that is, F(G), and it generalizes the ordinary distribution. In this work, we consider the standard two-sided power distribution to define other classes like the beta-G and the Kumaraswamy-G classes. We extend the idea of two-sidedness to other ordinary distributions like normal. After studying the basic properties of the new class in general setting, we consider the two-sided generalized normal distribution with maximum likelihood estimation procedure.