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  • 标题:Construction of Bivariate Distribution by Mixing Positively Dependent and Negatively Dependent Distributions
  • 本地全文:下载
  • 作者:Muhammet Bekçi ; Mehmet Yılmaz
  • 期刊名称:International Journal of Statistics and Applications
  • 印刷版ISSN:2168-5193
  • 电子版ISSN:2168-5215
  • 出版年度:2019
  • 卷号:9
  • 期号:4
  • 页码:122-127
  • DOI:10.5923/j.statistics.20190904.04
  • 语种:English
  • 出版社:Scientific & Academic Publishing Co.
  • 摘要:In this paper, a new method for constructing bivariate distributions with given marginals is proposed, based on a mixing two bivariate distributions. A new bivariate distribution family is introduced by adding an appropriate term with independence class of distribution. During this construction process, the model is not complicated. By choosing a base distribution from the same marginals we derive a new distribution around the independent class. 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, it is established that construction of bivariate distributions by this method allows for some flexibility in the values of Spearman’s correlation coefficient.
  • 关键词:Dependence; Bivariate Distribution; Spearman’s Rho; Fréchet Bounds
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