學術產出-Theses
Article View/Open
Publication Export
-
題名 機率比例抽樣設計之建構 作者 陳靜宜
Chen, Ching-Yi貢獻者 郎冰瑩
Lang, Bing-Ying
陳靜宜
Chen, Ching-Yi關鍵詞 不等機率抽樣設計
機率比例抽樣設計
PPS日期 2001 上傳時間 15-Apr-2016 16:03:04 (UTC+8) 摘要 當考慮不等機率抽樣設計時，若存在一輔助訊息與我們欲估計之未知量成比例，則機率比例抽樣設計(probability proportional to size sampling design)，記為PPS機率抽樣設計，是一個不錯的選擇。Horvitz-Thompson估計量在 PPS 機率抽樣設計之下變異數較小。換句話說，可以更精確地估計母體總和。本文提出一個由Hedayat-Lin方法推廣而得之新演算法，利用本演算法可建構出一些PPS機率抽樣設計。此種設計不僅能不偏的估計Horvitz-Thompson估計量之變異數，且能確保此估計量為非負值。
When unequal probability sampling design is under consideration, and when there exists auxiliary information which is proportional to the unknown quantity that we want to estimate, probability proportional to size sampling design, abbreviated as PPS sampling design, is a good choice.
封面頁 證明書 致謝詞 論文摘要 目錄 第一章 不等機率抽樣設計之理論基礎 第二章 PPS抽樣設計之建構 第三章 演算法 第四章 結語 參考文獻參考文獻 [1] Brewer, K.R.W., A Model of Systematic Sampling with Unequal Probabilities. Australia Journal of Statistics, Vol. 5, 5-13 (1963). [2] Durbin, J., Design of Multi-stage Surveys for the Estimation of Sampling Errors. Applied Statistics, Vol. 16, 152-164 (1967). [3] Goodman, R. and Kish, L., Controlled Selection: A Technique in Probability Sampling. Journal of American Statistical Association, Vol. 45, 350-372 (1950). [4] Hedayat A. and B.Y. Lin, Controlled Probability Proportional to Size Sampling Designs. Technical Report, University Illinois at Chicago (1980). [5] Hedayat A., B.Y. Lin and Stufken J., The Construction of PS Sampling Designs through a Method of Emptying Boxes. The Annals of Statistics, Vol. 17, No. 4, 1886-1905 (1989). [6] Horvitz, D.G. and Thompson, D. J., A Generalization of Sampling without Replacement from a Finite Universe. Journal of American Statistical Association, Vol. 47, 663-685 (1952). [7] Rao, J.N.K., On Two Simple Schemes of Unequal Probability Smapling without Replacement. Journal of Indian Statistical Association, Vol. 3, 173-180 (1965). [8] Sampford, M.R., On Sampling without Replacement with Unequal Probabilities of Selection. Biometrika, Vol. 54, 499-513 (1967). [9] Sen, A.R., On the Estimate of the Variance in Sampling with Varying Probabilities. Journal of Indian Society Agricultural Statistics, Vol. 5, 119-127 (1953). [10] Yates, F. and Grundy, P. M., Selection without replacement from within strata with probability proportional to size. Journal of Royal Statistical Society, Series B, Vol. 15, 253-261 (1953). 描述 碩士
國立政治大學
應用數學系資料來源 http://thesis.lib.nccu.edu.tw/record/#A2002001145 資料類型 thesis dc.contributor.advisor 郎冰瑩 zh_TW dc.contributor.advisor Lang, Bing-Ying en_US dc.contributor.author (Authors) 陳靜宜 zh_TW dc.contributor.author (Authors) Chen, Ching-Yi en_US dc.creator (作者) 陳靜宜 zh_TW dc.creator (作者) Chen, Ching-Yi en_US dc.date (日期) 2001 en_US dc.date.accessioned 15-Apr-2016 16:03:04 (UTC+8) - dc.date.available 15-Apr-2016 16:03:04 (UTC+8) - dc.date.issued (上傳時間) 15-Apr-2016 16:03:04 (UTC+8) - dc.identifier (Other Identifiers) A2002001145 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/84954 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 應用數學系 zh_TW dc.description.abstract (摘要) 當考慮不等機率抽樣設計時，若存在一輔助訊息與我們欲估計之未知量成比例，則機率比例抽樣設計(probability proportional to size sampling design)，記為PPS機率抽樣設計，是一個不錯的選擇。Horvitz-Thompson估計量在 PPS 機率抽樣設計之下變異數較小。換句話說，可以更精確地估計母體總和。本文提出一個由Hedayat-Lin方法推廣而得之新演算法，利用本演算法可建構出一些PPS機率抽樣設計。此種設計不僅能不偏的估計Horvitz-Thompson估計量之變異數，且能確保此估計量為非負值。 zh_TW dc.description.abstract (摘要) When unequal probability sampling design is under consideration, and when there exists auxiliary information which is proportional to the unknown quantity that we want to estimate, probability proportional to size sampling design, abbreviated as PPS sampling design, is a good choice. en_US dc.description.abstract (摘要) 封面頁 證明書 致謝詞 論文摘要 目錄 第一章 不等機率抽樣設計之理論基礎 第二章 PPS抽樣設計之建構 第三章 演算法 第四章 結語 參考文獻 - dc.description.tableofcontents 封面頁 證明書 致謝詞 論文摘要 目錄 第一章 不等機率抽樣設計之理論基礎 第二章 PPS抽樣設計之建構 第三章 演算法 第四章 結語 參考文獻 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#A2002001145 en_US dc.subject (關鍵詞) 不等機率抽樣設計 zh_TW dc.subject (關鍵詞) 機率比例抽樣設計 zh_TW dc.subject (關鍵詞) PPS en_US dc.title (題名) 機率比例抽樣設計之建構 zh_TW dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) [1] Brewer, K.R.W., A Model of Systematic Sampling with Unequal Probabilities. Australia Journal of Statistics, Vol. 5, 5-13 (1963). [2] Durbin, J., Design of Multi-stage Surveys for the Estimation of Sampling Errors. Applied Statistics, Vol. 16, 152-164 (1967). [3] Goodman, R. and Kish, L., Controlled Selection: A Technique in Probability Sampling. Journal of American Statistical Association, Vol. 45, 350-372 (1950). [4] Hedayat A. and B.Y. Lin, Controlled Probability Proportional to Size Sampling Designs. Technical Report, University Illinois at Chicago (1980). [5] Hedayat A., B.Y. Lin and Stufken J., The Construction of PS Sampling Designs through a Method of Emptying Boxes. The Annals of Statistics, Vol. 17, No. 4, 1886-1905 (1989). [6] Horvitz, D.G. and Thompson, D. J., A Generalization of Sampling without Replacement from a Finite Universe. Journal of American Statistical Association, Vol. 47, 663-685 (1952). [7] Rao, J.N.K., On Two Simple Schemes of Unequal Probability Smapling without Replacement. Journal of Indian Statistical Association, Vol. 3, 173-180 (1965). [8] Sampford, M.R., On Sampling without Replacement with Unequal Probabilities of Selection. Biometrika, Vol. 54, 499-513 (1967). [9] Sen, A.R., On the Estimate of the Variance in Sampling with Varying Probabilities. Journal of Indian Society Agricultural Statistics, Vol. 5, 119-127 (1953). [10] Yates, F. and Grundy, P. M., Selection without replacement from within strata with probability proportional to size. Journal of Royal Statistical Society, Series B, Vol. 15, 253-261 (1953). zh_TW
