| 研究生: |
謝宗翰 Tzung-han Hsieh |
|---|---|
| 論文名稱: |
三獨立常態樣本變異數間之順序的機率 Probability of permutations between three independent normal sample variances |
| 指導教授: | 許玉生 |
| 口試委員: | |
| 學位類別: |
碩士 Master |
| 系所名稱: |
理學院 - 數學系 Department of Mathematics |
| 畢業學年度: | 100 |
| 語文別: | 中文 |
| 論文頁數: | 35 |
| 中文關鍵詞: | 樣本變異數之順序 、常態樣本變異數 |
| 外文關鍵詞: | order of sample variances, normal sample variances |
| 相關次數: | 點閱:8 下載:0 |
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令 x,y,z 表取自三獨立常數母體之樣本變異數,當n為不小於2之整數時,本文討論P(x>y)之計算及其性質.當n為不小於3之奇數時,本文討論P(x>y>z)之計算及其性質.
Let x,y and z denote sample variances obtained from three independent normal distributions.Each sample variance has sample size n.
The purpose of this paper is to calculate P(x>y) when n=2 or n>2 and P(x>y>z) when n is odd.
[1]R.V.Hogg and A.T.Craig(1995).Introduction to Mathematical Statistics.5th ed.Prentice Hall.
[2]E.L.Lehmann and G.Casella(1998).Theory of Point Estimation.2nd.ed.Springer.