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題名 二參數指數分配推論問題之研究
作者 張佳惠
貢獻者 陳麗霞
張佳惠
關鍵詞 指數分配
二參數
日期 2002
上傳時間 17-Sep-2009 18:45:05 (UTC+8)
摘要 本篇論文主要考慮在第一型設限下兩群二參數指數分配的推論問題。由於在給定失敗個數之下,第一型與第二型設限的概似函數相似,所以我們先探討第二型設限下指數分配的估計及多個母體是否相等的檢定,最後再推導出在第一型設限下,及兩個母體之尺度參數或位置參數是否相等的檢定統計量。
參考文獻 Anderson, T. W. (1958). Introduction to Multivariate Statistical Analysis. New York:John Wiley.
Bishop, D. J. (1939). On a Comprehensive Test for the Homogeneity of Variances and Covariances in Multivariate Problems, Biometrika, 31, 31-55.
Box, G. E. P. (1949). A general distribution theory for a class of likelihood criteria. Biometrika, 36, 317-346.
Cox, D. R. (1953). Some simple aporoximate tests for Possion variates. Biometrika, 40, 354-360.
Epstein, B., and Sobel, M. (1954). Some Theorems Relevant to Life Testing from an Exponential Population. Annals of Mathematical Statistics, 25, 373-381.
Epstein, B., and Tsao, C. K. (1953). Some Tests Based On Ordered Observations From Two Exponential Populations. Annals of Mathematical Statistics, 24, 458-466.
Hogg, R. V. (1956). On the distribution of the likelihood ratio. Annals of Mathematical Statistics, 27, 529-532.
Hsieh, H. K. (1981). On testing the equality of two exponential distributions. Technometrics, 23, 265-269.
Hsieh, H. K. (1986). An Exact Test for Comparing Location Parameters of Exponential Distributions With Unequal Scale Parameters Based on Type II Censored Data. Technometrics, 28, 157-164.
Lawless, J. F. (1982). Statistical Models and Methods for Lifetime Data. New York:John Wiley.
Ng. C. K. (1996). All Pairwise Comparisons of Exponential Location Parameters Under Type I Censoring-Equal Scale Paremeter Case. Journal of Statistical Computation and Simulation, 54, 19-27.
Sukhatme, P. V. (1936). On the Analysis of Samples From Exponential Populations With Special Reference to the Problem of Random Intervals. Statistical Research Memoirs, 1, 94-112.
Singh, N. (1983). The Likelihood Ratio Test for the Equality of Location Parameters of ( 2) Exponential Populations Based on Type II Censored Samples. Technometrics, 25, 193-195.
Singh, N., and Narayan, P. (1983). The Likelihood Ratio Test for the Equality of ( 3) Two-Parameter Exponential Distributions Based on Type II Censored Samples. Journal of Statistical Computation and Simulation, 18, 287-297.
Sundberg, R. (2001). Comparison of Confidence Procedures for Type I Censored Exponential Lifetimes. Lifetime Data Analysis, 7, 393-413.
Wright, F. T., Engelhardt. M., and Bain, L. J. (1978). Inferences for the Two-Parameter Exponential Distribution Under Type I Censored Sampling. Journal of the American Statistical Association, 73, 650-655.
, A. (1953). On the Theory of Order Statistics. Acta Mathematica Academiae Scientiarum Hungaricae, 4, 191-231.
描述 碩士
國立政治大學
統計研究所
90354012
91
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0090354012
資料類型 thesis
dc.contributor.advisor 陳麗霞zh_TW
dc.contributor.author (Authors) 張佳惠zh_TW
dc.creator (作者) 張佳惠zh_TW
dc.date (日期) 2002en_US
dc.date.accessioned 17-Sep-2009 18:45:05 (UTC+8)-
dc.date.available 17-Sep-2009 18:45:05 (UTC+8)-
dc.date.issued (上傳時間) 17-Sep-2009 18:45:05 (UTC+8)-
dc.identifier (Other Identifiers) G0090354012en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/33895-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 統計研究所zh_TW
dc.description (描述) 90354012zh_TW
dc.description (描述) 91zh_TW
dc.description.abstract (摘要) 本篇論文主要考慮在第一型設限下兩群二參數指數分配的推論問題。由於在給定失敗個數之下,第一型與第二型設限的概似函數相似,所以我們先探討第二型設限下指數分配的估計及多個母體是否相等的檢定,最後再推導出在第一型設限下,及兩個母體之尺度參數或位置參數是否相等的檢定統計量。zh_TW
dc.description.tableofcontents 第一章 緒論…………………………………………………...1
1.1節 研究動機及目的………………………………………………1
1.2節 論文架構………………………………………………………2
第二章 第二型設限…………………………………………...4
2.1節 一個參數的估計量及其分配………………………………...4
2.2節 二個參數的估計量及其分配………………………………...5
2.3節 多個母體的比較……………………………………………...6
2.3.1節 位置參數的檢定……………………………………7
2.3.2節 尺度參數的檢定…………………………………..11
2.3.3節 同時對尺度參數及位置參數的檢定……………..14
第三章 第一型設限………………………………………….17
3.1節 一個參數的估計量及其分配……………………………….17
3.2節 二個參數的估計量及其分配……………………………….18
3.3節 兩個母體未知參數的比較………………………………….20
第四章 結論與建議………………………………………….38
4.1節 結論………………………………………………………….38
4.2節 未來研究方向……………………………………………….40
參考文獻……………………………………………………...41
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0090354012en_US
dc.subject (關鍵詞) 指數分配zh_TW
dc.subject (關鍵詞) 二參數zh_TW
dc.title (題名) 二參數指數分配推論問題之研究zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Anderson, T. W. (1958). Introduction to Multivariate Statistical Analysis. New York:John Wiley.zh_TW
dc.relation.reference (參考文獻) Bishop, D. J. (1939). On a Comprehensive Test for the Homogeneity of Variances and Covariances in Multivariate Problems, Biometrika, 31, 31-55.zh_TW
dc.relation.reference (參考文獻) Box, G. E. P. (1949). A general distribution theory for a class of likelihood criteria. Biometrika, 36, 317-346.zh_TW
dc.relation.reference (參考文獻) Cox, D. R. (1953). Some simple aporoximate tests for Possion variates. Biometrika, 40, 354-360.zh_TW
dc.relation.reference (參考文獻) Epstein, B., and Sobel, M. (1954). Some Theorems Relevant to Life Testing from an Exponential Population. Annals of Mathematical Statistics, 25, 373-381.zh_TW
dc.relation.reference (參考文獻) Epstein, B., and Tsao, C. K. (1953). Some Tests Based On Ordered Observations From Two Exponential Populations. Annals of Mathematical Statistics, 24, 458-466.zh_TW
dc.relation.reference (參考文獻) Hogg, R. V. (1956). On the distribution of the likelihood ratio. Annals of Mathematical Statistics, 27, 529-532.zh_TW
dc.relation.reference (參考文獻) Hsieh, H. K. (1981). On testing the equality of two exponential distributions. Technometrics, 23, 265-269.zh_TW
dc.relation.reference (參考文獻) Hsieh, H. K. (1986). An Exact Test for Comparing Location Parameters of Exponential Distributions With Unequal Scale Parameters Based on Type II Censored Data. Technometrics, 28, 157-164.zh_TW
dc.relation.reference (參考文獻) Lawless, J. F. (1982). Statistical Models and Methods for Lifetime Data. New York:John Wiley.zh_TW
dc.relation.reference (參考文獻) Ng. C. K. (1996). All Pairwise Comparisons of Exponential Location Parameters Under Type I Censoring-Equal Scale Paremeter Case. Journal of Statistical Computation and Simulation, 54, 19-27.zh_TW
dc.relation.reference (參考文獻) Sukhatme, P. V. (1936). On the Analysis of Samples From Exponential Populations With Special Reference to the Problem of Random Intervals. Statistical Research Memoirs, 1, 94-112.zh_TW
dc.relation.reference (參考文獻) Singh, N. (1983). The Likelihood Ratio Test for the Equality of Location Parameters of ( 2) Exponential Populations Based on Type II Censored Samples. Technometrics, 25, 193-195.zh_TW
dc.relation.reference (參考文獻) Singh, N., and Narayan, P. (1983). The Likelihood Ratio Test for the Equality of ( 3) Two-Parameter Exponential Distributions Based on Type II Censored Samples. Journal of Statistical Computation and Simulation, 18, 287-297.zh_TW
dc.relation.reference (參考文獻) Sundberg, R. (2001). Comparison of Confidence Procedures for Type I Censored Exponential Lifetimes. Lifetime Data Analysis, 7, 393-413.zh_TW
dc.relation.reference (參考文獻) Wright, F. T., Engelhardt. M., and Bain, L. J. (1978). Inferences for the Two-Parameter Exponential Distribution Under Type I Censored Sampling. Journal of the American Statistical Association, 73, 650-655.zh_TW
dc.relation.reference (參考文獻) , A. (1953). On the Theory of Order Statistics. Acta Mathematica Academiae Scientiarum Hungaricae, 4, 191-231.zh_TW