學術產出-Theses
Article View/Open
Publication Export
-
題名 含瑕資料的估計 : 嚴正和分類
On the estimation of mixed exact and grouped data作者 陳雪芳 貢獻者 李隆安
陳雪芳日期 1991
1990上傳時間 2-May-2016 17:07:27 (UTC+8) 摘要 Abstract 參考文獻 References [1] Archer, N. P. (1982). "Maximum Likelihood Estimation with Weibull Models When the Data Are Grouped". Commun. Statist. --Theor.Meth., 11(2),199-207. [2] Artamonovskii, V. P. (1988). "On Maximum Likelihood Estimation of the Shift and Scale Parameters Based on Grouped Samples".Theory of Prob. and its Appl., 33, 705-708. [3] Curtis, F. G. and Patrick, O. W. (1984). "Applied Numerical Analysis". Addison-Wesley, Reading, Mass. 3rd ed. [4] Dempster, A. P., Laird, N. M .. and Rubin, D. B. (1977). "Maximum Likelihood From Incomplete Data via the EM Algorithm". J. Roy.Statist. Soc. Ser. B 39, 1-38. [5] Hasselbland, V., Stead, A. G. and Galke, W. (1980) . "Analysis of Coarsely Grouped Data From the Lognormal Distribution". J. Amer.Statist. Ass, 75, 771-779. [6] Heitjan, D. F. (1989). "Inference From Grouped Continuous Data: A Review". Statist. Science, 4,164-181. [7] James C. Fu (1989). "Method of Kim-Zam : An Algorithm for Computing the Maximum Likelihood Estimator". Statistics and Probability Letters, 8, 289-296. [8] James C. Fu and Lung-An Li (1990). "Method of Pao-Zhuan YinYu : A Method of Stochastic Point Estimation". [9] McLaren, C. E, Brittenham, G. M. and Hasselblad, V. (1986)."Analysis of the Volume of Red Blood Cells : Application of the Expectation-Maximization Algorithm to Grouped Data From the Doubly-Truncated Lognormal Distribution". Biometrics, 42, 143-158. [10] Nelson, W. (1982). "Applied Life Data Analysis". Wiley, New York. [11] Ostrouchov, G. (1988). "Accuracy of Approximate Confidence Bounds Computed From Interval Censored Weibull and Lognormal Data". J. Statist. Comput. Simul. 29, 43-76. [12] Schader, M. and Schmid, F. (1988). "Small Sample Properties of the MLE of the Parameters μ and σ From a Grouped Sample of a Normal Population". Commun. Statist. -- Simula, 17, 229-239. [13] Sundberg, R. (1974). "Maximum Likelihood Theory for Incomplete Data From an Exponential Family". Second. J. Statist.,1,49-58. [14] Wei, D. and Shau, C.K. (1987). "Fitting and Optimal Grouping on Gamma Reliability Data". IEEE Transaction on Reliability, 36, 595-599. 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/#B2002005099 資料類型 thesis dc.contributor.advisor 李隆安 zh_TW dc.contributor.author (Authors) 陳雪芳 zh_TW dc.creator (作者) 陳雪芳 zh_TW dc.date (日期) 1991 en_US dc.date (日期) 1990 en_US dc.date.accessioned 2-May-2016 17:07:27 (UTC+8) - dc.date.available 2-May-2016 17:07:27 (UTC+8) - dc.date.issued (上傳時間) 2-May-2016 17:07:27 (UTC+8) - dc.identifier (Other Identifiers) B2002005099 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/89763 - 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) Abstract en_US dc.description.tableofcontents CONTENT Chap. 1: Introduction………………..1 Chap. 2: Statistical Considerations Section 1: Description of Data Set………………..4 Section 2: Use of Newton-Raphson Method For MLEs………………..8 Section 3: Review of Incomplete Data Method : Em Algorithm………………..11 Chap. 3: Method of Kim-Zam Section 1: Desciption the Method of Kim-Zam………………..18 Section 2: Apply the Method of Kim-Zam to Our Case………………..21 Chap 4: Simulative Results and Discussion………………..24 Chap 5: Method of Pao-Zhuan Yin-Yu Section 1: Describe the Method of Pao-Zhuan Yin-Yu………………..30 Section 2: Statistical in Our Data Set………………..35 Section 3: Numerical Experiments………………..41 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002005099 en_US dc.title (題名) 含瑕資料的估計 : 嚴正和分類 zh_TW dc.title (題名) On the estimation of mixed exact and grouped data en_US dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) References [1] Archer, N. P. (1982). "Maximum Likelihood Estimation with Weibull Models When the Data Are Grouped". Commun. Statist. --Theor.Meth., 11(2),199-207. [2] Artamonovskii, V. P. (1988). "On Maximum Likelihood Estimation of the Shift and Scale Parameters Based on Grouped Samples".Theory of Prob. and its Appl., 33, 705-708. [3] Curtis, F. G. and Patrick, O. W. (1984). "Applied Numerical Analysis". Addison-Wesley, Reading, Mass. 3rd ed. [4] Dempster, A. P., Laird, N. M .. and Rubin, D. B. (1977). "Maximum Likelihood From Incomplete Data via the EM Algorithm". J. Roy.Statist. Soc. Ser. B 39, 1-38. [5] Hasselbland, V., Stead, A. G. and Galke, W. (1980) . "Analysis of Coarsely Grouped Data From the Lognormal Distribution". J. Amer.Statist. Ass, 75, 771-779. [6] Heitjan, D. F. (1989). "Inference From Grouped Continuous Data: A Review". Statist. Science, 4,164-181. [7] James C. Fu (1989). "Method of Kim-Zam : An Algorithm for Computing the Maximum Likelihood Estimator". Statistics and Probability Letters, 8, 289-296. [8] James C. Fu and Lung-An Li (1990). "Method of Pao-Zhuan YinYu : A Method of Stochastic Point Estimation". [9] McLaren, C. E, Brittenham, G. M. and Hasselblad, V. (1986)."Analysis of the Volume of Red Blood Cells : Application of the Expectation-Maximization Algorithm to Grouped Data From the Doubly-Truncated Lognormal Distribution". Biometrics, 42, 143-158. [10] Nelson, W. (1982). "Applied Life Data Analysis". Wiley, New York. [11] Ostrouchov, G. (1988). "Accuracy of Approximate Confidence Bounds Computed From Interval Censored Weibull and Lognormal Data". J. Statist. Comput. Simul. 29, 43-76. [12] Schader, M. and Schmid, F. (1988). "Small Sample Properties of the MLE of the Parameters μ and σ From a Grouped Sample of a Normal Population". Commun. Statist. -- Simula, 17, 229-239. [13] Sundberg, R. (1974). "Maximum Likelihood Theory for Incomplete Data From an Exponential Family". Second. J. Statist.,1,49-58. [14] Wei, D. and Shau, C.K. (1987). "Fitting and Optimal Grouping on Gamma Reliability Data". IEEE Transaction on Reliability, 36, 595-599. zh_TW
