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題名 相關變數之隨機修剪L : 統計量之漸近性
On the asymptotic behavior of randomly trimmed L-statistics with dependent random variables作者 陳宗雄 貢獻者 吳柏林
陳宗雄關鍵詞 Random trimming
L–statistics
absolutely regular日期 1991
1990上傳時間 2-May-2016 17:07:32 (UTC+8) 摘要 摘要
ABSTRACT參考文獻 REFREENCES [1] Bradely, R.C. (1985). On the central limit question under absolute reguality. Ann. Probab. 13, 1314-1324. [2] Billingsley, P. (1968). Convergence of Probability Measure. Wiley,New York. [3] Deo, C.M. (1973). A note on empirical processes of strong-mixing sequences. Ann. Probab. 1, 870-875. [4] Mason, D.M. (981). Bounds for weighted empirical distribution functions.Ann. Probab. 9, 881-884. [5] Pham, T.D. and Tran, Tran, L.T. (1982). On functions of order statistics in the non-LLd. case. Sankhya, A, 44, 225-26l. [6] Pham, T.D. and Tran, L.T. (1985). Some strong mixing properties of time series models. Stochastic Processes and their applications. 19,297-303. [7] Puri, M.L. and Tran, L. T. (980). Empirical distributions functions and functions of order statistics for mixing random variables . J.Multi. analy. 10, 405-425. [8] Serfling, R.J. (1980). Approximation Theorems of Mathematics Statistics. Wiley, New York. [9] Shorack, G. (1989). Randomly trimmed L-statistics. JSPI. 21, 293 - 304. [10] Shorack, G. and Wellner (1986). EmpiricaL Processes with applications to Statistics. Wiley, New York. [11] Wu, Berlin. (1988). On order statistics in time series analysis. Ph.D Thesis, Indiana University, U. S.A. [12] Yoshihara, K. (1978). Probability inequalities for sums of absolutely regular processes and their applications. Z. Wahrsch Verw. Geb. 43,319-330. [13] Zuijlen, M.C.A. Van. (1976). Some properties of empirical distribution functions in the non-i.i.d. case. Ann. Statist. 5, 406 - 408. [l4] Zuijlen, M.C.A. Van. (1978). Properties of the empirical distribution function for independent . nonidentically distributed random variables.Ann. Probab. 6, 250-266. 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/#B2002005101 資料類型 thesis dc.contributor.advisor 吳柏林 zh_TW dc.contributor.author (Authors) 陳宗雄 zh_TW dc.creator (作者) 陳宗雄 zh_TW dc.date (日期) 1991 en_US dc.date (日期) 1990 en_US dc.date.accessioned 2-May-2016 17:07:32 (UTC+8) - dc.date.available 2-May-2016 17:07:32 (UTC+8) - dc.date.issued (上傳時間) 2-May-2016 17:07:32 (UTC+8) - dc.identifier (Other Identifiers) B2002005101 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/89765 - 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) 摘要 zh_TW dc.description.abstract (摘要) ABSTRACT en_US dc.description.tableofcontents Contents 1. Introduction 1 2 .Preliminaries 7 3 .Asymptotic Normality of the Leading Term 12 4 .Asymptotic Negligibility of the Remainder Terms 19 5 .Appendix 25 6 .References 34 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002005101 en_US dc.subject (關鍵詞) Random trimming en_US dc.subject (關鍵詞) L–statistics en_US dc.subject (關鍵詞) absolutely regular en_US dc.title (題名) 相關變數之隨機修剪L : 統計量之漸近性 zh_TW dc.title (題名) On the asymptotic behavior of randomly trimmed L-statistics with dependent random variables en_US dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) REFREENCES [1] Bradely, R.C. (1985). On the central limit question under absolute reguality. Ann. Probab. 13, 1314-1324. [2] Billingsley, P. (1968). Convergence of Probability Measure. Wiley,New York. [3] Deo, C.M. (1973). A note on empirical processes of strong-mixing sequences. Ann. Probab. 1, 870-875. [4] Mason, D.M. (981). Bounds for weighted empirical distribution functions.Ann. Probab. 9, 881-884. [5] Pham, T.D. and Tran, Tran, L.T. (1982). On functions of order statistics in the non-LLd. case. Sankhya, A, 44, 225-26l. [6] Pham, T.D. and Tran, L.T. (1985). Some strong mixing properties of time series models. Stochastic Processes and their applications. 19,297-303. [7] Puri, M.L. and Tran, L. T. (980). Empirical distributions functions and functions of order statistics for mixing random variables . J.Multi. analy. 10, 405-425. [8] Serfling, R.J. (1980). Approximation Theorems of Mathematics Statistics. Wiley, New York. [9] Shorack, G. (1989). Randomly trimmed L-statistics. JSPI. 21, 293 - 304. [10] Shorack, G. and Wellner (1986). EmpiricaL Processes with applications to Statistics. Wiley, New York. [11] Wu, Berlin. (1988). On order statistics in time series analysis. Ph.D Thesis, Indiana University, U. S.A. [12] Yoshihara, K. (1978). Probability inequalities for sums of absolutely regular processes and their applications. Z. Wahrsch Verw. Geb. 43,319-330. [13] Zuijlen, M.C.A. Van. (1976). Some properties of empirical distribution functions in the non-i.i.d. case. Ann. Statist. 5, 406 - 408. [l4] Zuijlen, M.C.A. Van. (1978). Properties of the empirical distribution function for independent . nonidentically distributed random variables.Ann. Probab. 6, 250-266. zh_TW