• CN:11-2187/TH
  • ISSN:0577-6686

›› 1986, Vol. 22 ›› Issue (3): 67-74.

• 论文 • 上一篇    下一篇

正态变差系数的区间估计

周源泉   

  1. 北京强度与环境研究所
  • 发布日期:1986-06-01

INTERVAL ESTIMATION FOR COEFFICIENT OF VARIATION OF NORMAL DISTRIBUTION

Zhou Yuanquan   

  1. Beijing Institute of Strength and Environment
  • Published:1986-06-01

摘要: 本文推导了正态变差系数的Bayes及Fiducial精确限,并指出当正态参数取无信息先验分布时,Bayes限与Fiducial限相时,由非中心t-分布及贝它分布的分布函数的非线性方程给出。为满足工程实践的需要,提出了一种精度很高的Bayes近似限。它可直接应用,还可作为迭代求解精确限的初始范围,从而节省机时。

关键词: 关键词:2219-T87和2A14-T6异种铝合金, 力学性能, 摩擦圆锥塞焊, 微观组织

Abstract: In this paper the exact Bayesian and Fiducial limits for coefficient of variation of normal distribution are derived. When we take the noninformative prior distribution on the normal parameters, the Bayesian limits for Coefficient of Variation are equal to the Fiducial limits. They can be expressed by the nonlinear equation for CDFs of the noncentral t-distribution and Beta distribution. An approximates Bayesian limits having enough accuricy are presented to meet practical engineering needs. It can be applied directly. When it is used as original ranges to solve the exact limits by iterative method, the com, putation can be decreased.