兩獨立常態樣本變異數間之順序之機率的分析; Analysis for Probability of orders between two independent normal sample variances

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/60128

Title:	兩獨立常態樣本變異數間之順序之機率的分析;Analysis for Probability of orders between two independent normal sample variances
Authors:	陳冠廷;Chen,Kuan-Ting
Contributors:	數學系
Keywords:	常態樣本變異數;樣本變異數之順序;normal sample variance;order of sample variance
Date:	2013-06-18
Issue Date:	2013-07-10 12:07:36 (UTC+8)
Publisher:	國立中央大學
Abstract:	令及分表取自及之樣本變異數 . 當 n 為不小於 2 之整數時 , 謝宗翰 (2012) 計算之值 . 本文分析上列機率 . 說明機率 1 如何分配於及 . 證明當時隨 n 之增加而增加 , 且收斂於一極限值 . Let and denote sample variances obtained from two independent normal distributions and . Each sample has sample size n . Shieh(2012) calculated , when n is greater than or equal to 2 . In this paper, we investigate . We explain how probability 1 is distributed between and . We also show that when , is increasing in $n$ and is converging to a limit .
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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