• CN:11-2187/TH
  • ISSN:0577-6686

›› 2001, Vol. 37 ›› Issue (1): 97-99.

• 论文 • 上一篇    下一篇

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Γ分布的K检验

冯振宇;张效松;崔卫民   

  1. 石家庄铁道学院建筑工程系;西北工业大学飞机系
  • 发布日期:2001-01-15

K-TEST OF Γ DISTRIBUTION

Feng Zhenyu;Zhang Xiaosong;Cui Weimin   

  1. Shijiazhuang Railway Institute Northwestern Polytechnical University
  • Published:2001-01-15

摘要: 基于前人提出的统计理论,就工程中常用的Γ分布给出了一种新的拟合优度检验方法——K检验。与Kolmogorov和Smirnov提出的D检验相比,K检验在上下两个小概率尾区有更好的检验能力,这对长寿命高可靠性结构设计具有重要意义。利用蒙特卡洛数值模拟方法,得到了Γ分布在尺度参数未知、形状参数已知时K检验的临界值。

关键词: Γ分布, 可靠性, 蒙特卡洛方法, 拟合优度检验

Abstract: A new goodness-of-fit test, K test, is developed forΓ distributions. Theoretically, the test power of K test method is higher than that of D test method, especially in the two tail regions of probabilistic density curves, which is important for high reliability design and analysis. Utilizing Monte-Carlo simulating techniques, the critical values of K test forΓ distributions with unknown scale parameters are presented.

Key words: Goodness-of-fit test, Monte-Carlo method, Reliability, Γ distribution

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