数学物理学报

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F分布密度曲线之变化

刘晓鹏; 刘坤会   

  1. 北京交通大学理学院 北京 100044
  • 收稿日期:2005-11-24 修回日期:2006-12-22 出版日期:2007-04-25 发布日期:2007-04-25
  • 通讯作者: 刘晓鹏
  • 基金资助:
    国家自然科学基金资助

The Changes of F Distribution Density Curve

Liu Xiaopeng; Liu Kunhui   

  1. College of Sciences, Beijing Jiaotong University, Beijing 100044
  • Received:2005-11-24 Revised:2006-12-22 Online:2007-04-25 Published:2007-04-25
  • Contact: Liu Xiaopeng

摘要: 该文较深入地分析了特殊函数的某些性质,利用这些性质分析了F分布中不同参数所对应的密度曲线之间的位置关系.此外还讨论了密度曲线的某些渐近性质并建立了一些有关的方程.作为结论的应用及验证,作者给出了一些有代表性的例子.该文的分析方法还可用来讨论其它一些分布的密度曲线的某些性质.

关键词: F分布, 密度曲线, 参数, Gamma函数

Abstract: This paper analyses deeply certain properties of special function, and uses these properties to discuss the relation between the positions of F distribution density curves with different parameters. Besides, this paper discusses certain asymptotic properties of density curve and builds some related equations. As the application and verifications of conclusions, this paper gives some representative examples. The analytic methods of this paper can also be used to discuss certain properties about density curves of other distributions.

Key words: F distribution, Density curve, Parameter, \Gamma function

中图分类号: 

  • 60E05