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題名 含瑕資料的估計 : 設限截距和分類
On the estimation of censoring, truncated, and grouped data
作者 葉秋呈
貢獻者 李隆安
葉秋呈
日期 1991
1990
上傳時間 2-May-2016 17:07:29 (UTC+8)
摘要 Abstract
參考文獻 References
     
     l. Blight,B.J.N. (1970): "Estimation from a censored sample for the exponential family", Biometrika 57,2,389-95.
     2. Chen Hubert J. and Vanichbuncha Kanlaya (1989): "Simultaneous upper confidence bounds for distances from the best two parameter exponential distribution" Commun. Statist.-Theory Meth.,18(8),3019-31.
     3. Cohen,A.Clifford (1959): "Simplified estimators for the normial distribution when samples are singly censored or truncated",Technometrics, 1 ,217 -37.
     4. Cohen,A.Clifford (1975): "Multi-censored sampling in the three parameter Weibull distribution", Technometrics vol.I7,no.3,347-51.
     5. Dempster,A.P.,Laird,N.M., and Rubin,D.B.(1977): "Maximum likelihood from incomplete data via the EM algorithm" ,J.Roy Statist. Soc.(B) 39,1-22.
     6. Ghosh, Malay (1984): "Estimation of the common location parameter of several exponentials", Sankhya:The Indian Journal Statistics vo1.46 seriesA pt3,384-94.
     7. Ghosh,Malay and Mantelle,L.L. (1988): "MLE for two-parameter exponentials under type I censoring", Commun. Statist.-Theory Meth.17(9),2859-79.
     8. James C.Fu(1989): "Method of Kim-Zam:An algorithm for computing the maximum likelihood estimator", Statistics & Probability Letters 8,289-96.
     9. James C.Fu and Lung-An Li (1990): "A method of stochastic point estimation" .
     10. John Hyde (1977) "Testing survival under right censoring and left truncation", Biometrika 64,2 225-30.
     11. Leemis,L. M.( 1989): "Exponential parameter estimation for data sets containing left and right censoring observations", Commun.Statis t.-S imula.18(3), 1077 -85.
     12. Lehmann,E.L. (1983): Theory of point estimation,90-91.
     13. Piegorch,Walter W. (1987): "Performance of likelihood-based interval estimates for two-parameter exponential samples subject to type I censoring", Technometrics, vo1.29 ,no.l ,41-9.
     14. Rohatgi,V.K. (1975): An introduction to probability theory and methematical statistics,p381.
     15. Shetty,B.N. and Joshi,P.C. (1987): "Estimation ? of parameters of k exponential distributions in doubly censored samples", Commun.Statist.-Theory Meth.16(7),2115-23.
     16. Torgersen,Erik N .(1984): "Censored exponential models" ,Sankhya: the Indian Journal of Statistics vo1.46 seriesA pt 1,1-23.
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/#B2002005100
資料類型 thesis
dc.contributor.advisor 李隆安zh_TW
dc.contributor.author (Authors) 葉秋呈zh_TW
dc.creator (作者) 葉秋呈zh_TW
dc.date (日期) 1991en_US
dc.date (日期) 1990en_US
dc.date.accessioned 2-May-2016 17:07:29 (UTC+8)-
dc.date.available 2-May-2016 17:07:29 (UTC+8)-
dc.date.issued (上傳時間) 2-May-2016 17:07:29 (UTC+8)-
dc.identifier (Other Identifiers) B2002005100en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/89764-
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) Abstracten_US
dc.description.tableofcontents Contents:
     Abstract.........2
     Chapter 1 Introduction:
     Section 1.1 Two-parameter exponential distribution..........3
     Section 1.2 Some basic definitions of incomplete data..........5
     Sectionl.3 Newton-Raphson method and E-M algorithm.........7
     Section1.4 Kim-Zam method.........9
     Sectionl.5 Pao-Zhuan method.........11
     Chapter2 Estimation:
     Section2.1 The model.........14
     Section2.2 MLE.........19
     Section2.3 MLE-using Newton-Raphson method or E-M algorithm.........22
     Section2.4 MLE-using Kim-Zam method.........29
     Section2.5 UNIVUE-using Pao-Zhuan method.........32
     Ch~pter3 Results:
     Section3.1 The computer results.........35
     Section3.2 Discussion.........42
     References.........43
zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002005100en_US
dc.title (題名) 含瑕資料的估計 : 設限截距和分類zh_TW
dc.title (題名) On the estimation of censoring, truncated, and grouped dataen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) References
     
     l. Blight,B.J.N. (1970): "Estimation from a censored sample for the exponential family", Biometrika 57,2,389-95.
     2. Chen Hubert J. and Vanichbuncha Kanlaya (1989): "Simultaneous upper confidence bounds for distances from the best two parameter exponential distribution" Commun. Statist.-Theory Meth.,18(8),3019-31.
     3. Cohen,A.Clifford (1959): "Simplified estimators for the normial distribution when samples are singly censored or truncated",Technometrics, 1 ,217 -37.
     4. Cohen,A.Clifford (1975): "Multi-censored sampling in the three parameter Weibull distribution", Technometrics vol.I7,no.3,347-51.
     5. Dempster,A.P.,Laird,N.M., and Rubin,D.B.(1977): "Maximum likelihood from incomplete data via the EM algorithm" ,J.Roy Statist. Soc.(B) 39,1-22.
     6. Ghosh, Malay (1984): "Estimation of the common location parameter of several exponentials", Sankhya:The Indian Journal Statistics vo1.46 seriesA pt3,384-94.
     7. Ghosh,Malay and Mantelle,L.L. (1988): "MLE for two-parameter exponentials under type I censoring", Commun. Statist.-Theory Meth.17(9),2859-79.
     8. James C.Fu(1989): "Method of Kim-Zam:An algorithm for computing the maximum likelihood estimator", Statistics & Probability Letters 8,289-96.
     9. James C.Fu and Lung-An Li (1990): "A method of stochastic point estimation" .
     10. John Hyde (1977) "Testing survival under right censoring and left truncation", Biometrika 64,2 225-30.
     11. Leemis,L. M.( 1989): "Exponential parameter estimation for data sets containing left and right censoring observations", Commun.Statis t.-S imula.18(3), 1077 -85.
     12. Lehmann,E.L. (1983): Theory of point estimation,90-91.
     13. Piegorch,Walter W. (1987): "Performance of likelihood-based interval estimates for two-parameter exponential samples subject to type I censoring", Technometrics, vo1.29 ,no.l ,41-9.
     14. Rohatgi,V.K. (1975): An introduction to probability theory and methematical statistics,p381.
     15. Shetty,B.N. and Joshi,P.C. (1987): "Estimation ? of parameters of k exponential distributions in doubly censored samples", Commun.Statist.-Theory Meth.16(7),2115-23.
     16. Torgersen,Erik N .(1984): "Censored exponential models" ,Sankhya: the Indian Journal of Statistics vo1.46 seriesA pt 1,1-23.
zh_TW