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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) 1991en_US
dc.date (日期) 1990en_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) B2002005101en_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) ABSTRACTen_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/#B2002005101en_US
dc.subject (關鍵詞) Random trimmingen_US
dc.subject (關鍵詞) L–statisticsen_US
dc.subject (關鍵詞) absolutely regularen_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 variablesen_US
dc.type (資料類型) thesisen_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