Merhaba Misafir

Construction of continuous bivariate distribution by transmuting dependent distribution

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In this study, a new bivariate distribution family is introduced by adding an appropriate term to independent class. By choosing a base distribution which is negatively dependent from the same marginals we derive a new distribution around the product of marginals, i.e. independent class of distribution. We note that the new distribution has additional parameter which would provide additional flexibility in applications. The joint probability density, joint reliability and reversed hazard rate functions of the new bivariate distribution are obtained. Furthermore, we obtain lower and upper bounds of Spearman’s correlation coefficient. Two example are given to illustrate this family. This new bivariate continuous distribution can make more appropriate modeling of some data sets in terms of the Spearman rank coefficient.

Yayınlandığı Kaynak : Cumhuriyet Science Journal
  • Yıl : 2019
  • DOI : 10.17776/csj.618236
  • Cilt : 40
  • ISSN : 2587-2680
  • Sayı : 4
  • eISSN : 2587-246X
  • Sayfa Aralığı : 860-866
  • IO Kayıt No : 107161
  • Yayıncı : Cumhuriyet Üniversitesi