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  • 标题:A NEW HIGHER ORDER APPROXIMATION TO A PERCENTAGE POINT OF THE DISTRIBUTION OF THE SAMPLE CORRELATION COEFFICIENT
  • 本地全文:下载
  • 作者:Masafumi Akahira ; Norio Torigoe
  • 期刊名称:JOURNAL OF THE JAPAN STATISTICAL SOCIETY
  • 印刷版ISSN:1882-2754
  • 电子版ISSN:1348-6365
  • 出版年度:1998
  • 卷号:28
  • 期号:1
  • 页码:45-57
  • DOI:10.14490/jjss1995.28.45
  • 出版社:JAPAN STATISTICAL SOCIETY
  • 摘要:A new higher order approximation formula for a percentage point of the distribution of the sample correlation coefficient is given up to the order O ( n -1), using the Cornish-Fisher expansion for the statistic based on a linear combination of a normal random variable and chi-random variables. The numerical comparison of the formula with others shows that it dominates the others and gives almost precise values in various cases even for the size n =10 of sample.
  • 关键词:percentage point;(sample) correlation coefficient;Fisher's Z-transformation;Cornish-Fisher expansion
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