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| 研究生： |
崔紀揚 |
|---|---|
| 論文名稱： |
在有輔助資料時最強抽樣策略的探討 |
| 指導教授： | 郎冰瑩 |
| 學位類別： |
碩士
Master |
| 系所名稱： |
商學院 - 統計學系 Department of Statistics |
| 論文出版年： | 1986 |
| 畢業學年度： | 74 |
| 語文別： | 中文 |
| 論文頁數： | 58 |
| 相關次數： | 點閱：166 下載：0 |
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目錄
第一章 緒論………1
第一節 動機與目的………1
第二節 基本模型………3
第三節 最適抽樣策略與最强抽樣策略………4
第四節 本文結構………5
第二章 相關名詞的定義………7
第一節 基本定義………7
第二節 抽樣設計的一般性質與常用的抽樣設計………8
第三節 常用的估計式………10
第三章 最强抽樣策略………12
第一節 在超母體模型ξ(0,1；ν(χ))下的最適抽樣策略………12
第二節 假設模型為ξ(0,1；χ)的最强抽樣策略………21
第三節 採分層抽樣法以改進(Pbl；T^(0,1；χ)的效率………40
第四節 考慮估計式為T^(0,1；ν(χ))的情形………46
第四章 實證研究………50
第五章 結論與建議………56
參考書目
REFERENCES:
1. Brewer, K.R.W. (1979), "A Class of Robust Sampling Design for Large-scale Survey." JASA, 74, PP.911-15.
2. Brewer, K.R.W., and Hanif, M. (1982), Sampling with Unequal Probability, NEW YORK: Springer-Verlag.
3. Cassel, C.M., Sarndal, C. E., and Wretman, J. H. (1977), Foundations of Inference in Survey Sampling, NEW YORK: Wiley.
4. Cassel, C.M., Sarndal, C. E., and Wretman, J. H. (1976), "Some Results on Generalized Difference Estimation and Generalized Regression Estimation for Finite Population Sampling." Biometrika, 63, PP. 615–20.
5. Cochran, W.G. (1977), Sampling techniques, 3rd ed., NEW YORK: Wiley.
6. Godambe, V.P. (1969), "Admissibility and Bayes Estimation in Sampling Finite Populations—V." Ann. Math. Stat., 40, PP. 672–76.
7. Godambe, V.P. (1982), "Estimation in Survey Sampling: Robustness and Optimality,” JASA, 77, PP. 199-203.
8. Holt, D. (1975), "A Generalization of Balanced Sampling." Sankhyā, Ser. C, 37, PP. 199-203.
9. Mukhopadhyay, P. (1977), "Robust Estimators of Finite Population Total under Certain Linear Regression Models." Sankhyā, Ser. C, 39, PP. 71-87.
10. Rao, C.R. (1973), Linear Statistical Inference and Its application, NEW YORK: Wiley
11. Royall, R.M. (1970), "On Finite Population Sampling Theory under Certain Linear Regression Model." Biometrika, 57, No. 2, PP. 377-87.
12. Royall, R.M., and Herson, J. (1973), "Robust Estimation in Finite PopulationsⅠ." JASA, 68, PP.880-89.
13. Royall, R.M., and Herson, J. (1973), "Robust Estimation in Finite PopulationsⅡ: Stratification on a Size Variable." JASA, 68, PP.890-93.
14. Royall, R.M., and Pfeffermann, D. (1982), "Balanced Samples and Robust Bayesian Inference in Finite Population Sampling." Biometrika, 69, PP. 401–409.
15. Royall, R.M. (1976), "The Linear Least-Square Prediction Apporach to Two-Stage Sampling." JASA, 71, PP. 657-64
16. Rao, J.N.K., Hartely, H.O., and Cochran, W.G. (1962), "On a Simple Procedure of Unequal Probability Sampling Without Replacement." JRSS, Ser. B, 24, PP. 482–91.
17. Scott, A.J., Brewer, K.R.W., and Ho, W.H. (1978), "Finite Population Sampling and Robust Estimation." JASA, 73, PP. 359–61.
18. Scott, A.J., and Smith, T.M.F. (1974), "linear Super-Population in Survey Sampling." Sankhyā, Ser. C, 36, PP. 143-46.
19. Scott, A.J. (1975), "On Admissibility and Uniform Admissibility in Finite Population Sampling." Ann. Math. Stat., 46, PP. 489–91.
20. Searle, S.R. (1982), Matrix Algebra Useful for Statistics, 巨擎書局
21. Sukhatme, P.V. (1954), Sampling Theory of Surveys with Applications, Iowa State College Press.
22. Tallis, G.M. (1978), “Note on Robust Estimation in Finite Population.” Sankhyā, Ser. C, PP. 136-38
23. Tam, S.M. (1984), “Optimal Estimation in Survey Sampling under a Regression Superpopulation Model.” Biometrika, 71, PP. 645-47.
24. Yates, F. (1960), Sampling Methods for Census and Survey, 3rd ed., London: griffin
25. Zacks, S. and Soloman, H. (1970), “Optimal Design of Sampling from Finite Population.” JASA, 65, PP. 653-78.
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