跳到主要內容

臺灣博碩士論文加值系統

(3.233.217.106) 您好!臺灣時間:2022/08/17 12:46
字體大小: 字級放大   字級縮小   預設字形  
回查詢結果 :::

詳目顯示

: 
twitterline
研究生:王盟發
研究生(外文):Meng-Fa Wang
論文名稱:採集合排序樣本時,常態平均值之較佳檢定
論文名稱(外文):Ranked-Set-Sample-Based Better Tests for a Normal Mean
指導教授:曾玉玲曾玉玲引用關係
指導教授(外文):Y.L. Tseng
學位類別:碩士
校院名稱:國立東華大學
系所名稱:應用數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:英文
論文頁數:48
中文關鍵詞:集合排序抽樣有序統計常態平均值檢定簡單隨機抽樣
外文關鍵詞:Normal meanSimple random samplingOrder statisticsTestingRanked set sampling
相關次數:
  • 被引用被引用:0
  • 點閱點閱:427
  • 評分評分:
  • 下載下載:44
  • 收藏至我的研究室書目清單書目收藏:0
在本文中,我們討論當採用集合排序樣本,關於常態平均值的檢定問題。透過模擬的結果發現,本文所提的採集合排序樣本檢定,會優於傳統所用的 Z 或 t 檢定。另外我們也提供使用採集合排序樣本檢定時所需的臨界值表格。
In this thesis, we address the problems of testing the normal mean with ranked-set samples.
We find the RSS-based tests outperform substantially usual Z- or t-tests through simulations. Tables of the cutoff points for using the RSS-based tests are also provided.
Content

1 Introduction
2 Main Results
2.1 One-sided Problem
2.1.1 Known Variance Case
2.1.2 Unknown Variance Case
2.2 Two-sided Problem
2.2.1 Known Variance Case
2.2.2 Unknown Variance Case
2.3 Discussion
3 Conclusion
Bickel, P.J. (1967)
Some contributions to the theory of order statistics.
Proc. 5th Berkeley Symp., 1, 575-591.

Bose, R.C. and Gupta, S.S. (1959)
Moments of order statistics from a normal population.
Biometrika, 46, 433-440.

David, H.T. (1963)
The sample mean among the extreme normal order statistics.
Ann. Math. Statist., 34, 33-35.

David, H.A. and Levine, D.N. (1972)
Ranked set sampling in the presence of judgement error.
Biometrics, 28, 553-555.

Dell, T.R. (1969)
The theory of some applications of ranked set sampling.
Ph.D. thesis, University of Georgia, Athens, GA.

Dell, T.R. and Clutter, J.L. (1972)
Ranked set sampling theory with order statistics background.
Biometrics, 28, 545-555.

Koti, K.M. and Babu, G.J. (1996).
Sign test for ranked-set sampling.
Communication in Statistics-Theory and Methods, 25, 1617-1630.

McIntyre, G.A. (1952).
A method for unbiased selective sampling, using ranked sets.
Australian J. Agricultural Research, 3, 385-390.

Patil, G.P., Sinha, A.K. and Taillie, C. (1994)
Ranked set sampling.
In The Handbook of Environmental Statistics, Volume 12.
North Holland: Elsevier Science Publishers.

Ridout, M.S. and Cobby, J.M. (1987)
Ranked set sampling with non-random selection of sets and errors in ranking.
Appl. Statist., 36, No.2, 145-152.

Roussas, G. (1997)
A course in mathematical statistics, 2nd ed.
Academic Press.

Sinha, B.K., Sinha, B.K. and Purkayastha, S. (1996).
On some aspects of ranked set sampling for estimation of normal and exponential parameters.
Statistics and Decision, 14, 223-240.

Tukey, J.W. (1958)
A problem of Berkson, and minimum variance orderly estimators.
Ann. Math. Statist., 29, 588-592.

Yu, P.L.H. and Lam, K. (1997)
Regression Estimator in ranked set sampling.
Biometrics, 53, 1070-1080.
QRCODE
 
 
 
 
 
                                                                                                                                                                                                                                                                                                                                                                                                               
第一頁 上一頁 下一頁 最後一頁 top