对正态总体进行观测

journal6 ›› 2002, Vol. 23 ›› Issue (2): 19-23.

对正态总体进行观测

（深圳大学理学院数学系，广东深圳 518060）

出版日期:2002-06-15 发布日期:2013-01-05
作者简介:陈必红(1955-),男,江苏省如皋市人,深圳大学理学院数学系讲师，博士，主要从事信息论和统计研究.

The Observation of to Normal Distribution of Population

(Department of Mathematics，Shenzhen University，Shenzhen 518060，Guangdong China)

Online:2002-06-15 Published:2013-01-05

摘要/Abstract

摘要：按观测过程的观点，关心的并不是估值，而是观测主体关于观测客体的知识分布，即后验概率分布，并利用此分布进行决策，在决策的过程中，可能需要有估值的过程.从这一点出发，利用观测过程的基本理论，对数理统计中的最简单模型，正态总体的观测重新进行了分析.得出一些以往并没有发现的结论，并为观测过程的进一步分析打下基础.

关键词： 观测过程, 统计学, 信息论

Abstract: The simplest model in statistics,the observation of normal distribution of population is analysed in this paper，by using the theory of observation process.Though the problem has been solved，some new conclusions are given in this paper.According to the viewpoint of observation process，it is important not to concern with estimating value，but with the knowledge distribution about observed object，or posterior probability distribution，which is used to make decision.But in the process of making decision，there may be some process equivalent to estimation.This point is used to do analysis，and thus some conclusion which is not found before is drawn to give a foundation to further analysis.

Key words: observation process, statistics, information theory

陈必红. 对正态总体进行观测[J]. journal6, 2002, 23(2): 19-23.

CHEN Bi-Hong. The Observation of to Normal Distribution of Population[J]. journal6, 2002, 23(2): 19-23.