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两正态分布总体变异系数差的区间估计

张千 李新民

山东理工大学学报(自然科学版)Issue(3):42-45,4.
山东理工大学学报(自然科学版)Issue(3):42-45,4.

两正态分布总体变异系数差的区间估计

Confidence interval of the variation coefficients for two normal distributions

张千 1李新民2

作者信息

  • 1. 山东理工大学理学院,山东淄博255091
  • 2. 青岛大学数学科学学院,山东青岛266000
  • 折叠

摘要

Abstract

This article proposed parameter Bootstrap method and generalized inference method to study the confidence interval of the comparison of variation coefficients for two normal distributions ,respec-tively .Then we compared two methods by simulation study .Parameter Bootstrap method was proposed for computing the coefficient of variations of two normal distributions .And according to generalized in-terval estimation method ,we constructed the generalized pivot quantity of the two normal distributions variation coefficient ,then two normal distribution coefficient of variation .Finally ,the simulation study for comparing two interval estimations was given .The research result indicated that the generalized in-ference method was a better interval estimation method .

关键词

正态分布/变异系数/参数Bootstrap/覆盖率

Key words

normal distribution/coefficients of variation/parametric Bootstrap/coverage probability

分类

数理科学

引用本文复制引用

张千,李新民..两正态分布总体变异系数差的区间估计[J].山东理工大学学报(自然科学版),2014,(3):42-45,4.

山东理工大学学报(自然科学版)

1672-6197

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