An approximation to the distribution of the product of two dependent correlation coefficients

被引:10
作者
Pan, W
Frank, K
机构
[1] Univ Cincinnati, Cincinnati, OH 45221 USA
[2] Michigan State Univ, E Lansing, MI 48824 USA
基金
美国国家科学基金会;
关键词
approximate distribution; correlation coefficient; moments; Pearson distributions;
D O I
10.1080/00949650310001596822
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Many methodological studies depend on the product of two dependent correlation coefficients. However, the behavior of the distribution of the product of two dependent correlation coefficients is not well known. The distribution of sets of correlation coefficients has been well studied, but not the distribution of the product of two dependent correlation coefficients. The present study derives an approximation to the distribution of the product of two dependent correlation coefficients with a closed form, resulting in a Pearson Type I distribution. A simulation study is also conducted to assess the accuracy of the approximation.
引用
收藏
页码:419 / 443
页数:25
相关论文
共 50 条
  • [41] Some new correlation coefficients of picture fuzzy sets with applications
    Abdul Haseeb Ganie
    Surender Singh
    Pradeep Kumar Bhatia
    Neural Computing and Applications, 2020, 32 : 12609 - 12625
  • [42] Inferences on correlation coefficients of bivariate log-normal distributions
    Zhang, Guoyi
    Chen, Zhongxue
    JOURNAL OF APPLIED STATISTICS, 2015, 42 (03) : 603 - 613
  • [43] Treatment Alternatives to Gingival Hyperpigmentation using Neutrosophic Correlation Coefficients
    Briones F.M.A.
    González J.I.C.
    Moreta J.F.A.
    Zurita C.D.R.B.
    Neutrosophic Sets and Systems, 2022, 52 : 319 - 325
  • [44] Building Regression Linear Equations on the Basis of Sample Correlation Coefficients
    Jin, Qi-sheng
    2015 INTERNATIONAL CONFERENCE ON APPLIED MECHANICS AND MECHATRONICS ENGINEERING (AMME 2015), 2015, : 207 - 210
  • [45] Correlation coefficients of linguistic interval hesitant fuzzy sets and their application
    Xu, Y. W.
    Meng, F. Y.
    Wang, N.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2019, 16 (04): : 65 - 81
  • [46] Estimation of modal correlation coefficients from background and resonant responses
    Denoel, V.
    STRUCTURAL ENGINEERING AND MECHANICS, 2009, 32 (06) : 725 - 740
  • [47] A unified approach to constructing correlation coefficients between random variables
    Majid Asadi
    Somayeh Zarezadeh
    Metrika, 2020, 83 : 657 - 676
  • [48] A unified approach to constructing correlation coefficients between random variables
    Asadi, Majid
    Zarezadeh, Somayeh
    METRIKA, 2020, 83 (06) : 657 - 676
  • [49] Underestimation of Pearson's product moment correlation statistic
    Humphreys, Rosalind K.
    Puth, Marie-Therese
    Neuhaeuser, Markus
    Ruxton, Graeme D.
    OECOLOGIA, 2019, 189 (01) : 1 - 7
  • [50] DISTRIBUTION OF THE PRODUCT OF A WISHART MATRIX AND A NORMAL VECTOR
    Yonenaga, Koshiro
    Suzukawa, Akio
    THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, 2023, : 209 - 224