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  • 标题:A New Generalized Family of Odd Lindley-G Distributions With Application
  • 本地全文:下载
  • 作者:Fastel Chipepa ; Broderick Oluyede ; Boikanyo Makubate
  • 期刊名称:International Journal of Statistics and Probability
  • 印刷版ISSN:1927-7032
  • 电子版ISSN:1927-7040
  • 出版年度:2019
  • 卷号:8
  • 期号:6
  • 页码:1-23
  • DOI:10.5539/ijsp.v8n6p1
  • 出版社:Canadian Center of Science and Education
  • 摘要:

    A new family of distributions, namely the Kumaraswamy Odd Lindley-G distribution is developed. The new density function can be expressed as a linear combination of exponentiated-G densities. Statistical properties of the new family including hazard rate and quantile functions, moments and incomplete moments, Bonferroni and Lorenz curves, distribution of order statistics and R´enyi entropy are derived. Some special cases are presented. We conduct some Monte Carlo simulations to examine the consistency of the maximum likelihood estimates. We provide an application of KOL-LLo distribution to a real data set.

  • 关键词:Kumaraswamy distribution; Lindley distribution; maximum likelihood estimation; Monte Carlo simulation; odd Lindley-G distribution
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