四川农业大学学报 ›› 1997, Vol. 15 ›› Issue (02): 149-158.doi: 10.16036/j.issn.1000-2650.1997.02.001

• 研究论文 •    下一篇

简单随机样本平方平均数的分布

王兴中   

  1. 重庆市林科所, 重庆市 630036
  • 收稿日期:1996-11-14 出版日期:1997-06-30 发布日期:2017-03-07

ON THE DISTRIBUTION OF ROOT-MEAN-SQUARE VALUE OF SIMPLE RANDOM SAMPLE

Wang Xingzhong   

  1. Research Institute of Forestry Science of Chongqing, China 630036
  • Received:1996-11-14 Online:1997-06-30 Published:2017-03-07

摘要: 服从正态分布的随机变量,其简单随机样本的平方平均数亦是一个随机变量。本文首先推导出这一随机变量遵从的概率分布,进而依据该分布给出了用等概简单随机样本估计总体平方平均数的正确方法。

关键词: 简单随机样本, 平方平均数, 概率分布[30Q, 31CE], 总体[30R], 估计[30A]

Abstract: For any random variable obeying normal distribution, the root-mean-sqaure value of its simple random sample is a random variable, too. In the paper probability distribution of the random variable was logically examined first, in accordance with the distribution, a correct estimation method of a population root-mean-square value was then developed depending on isoproblematic simple random sample.

Key words: SIMPLE RANDOM SAMPLE, ROOT-MEAN-SQUARE VALUE, PROBABILITY DISTRIBUTIONS, POPULATION, ESTIMATIONS

中图分类号: 

  • O211.5