Publications-Theses

Article View/Open

Publication Export

Google ScholarTM

NCCU Library

Citation Infomation

Related Publications in TAIR

題名 運用關聯結構網絡隨機邊界分析法探討我國壽險公司經營績效
Applying the Copula-Based Network Stochastic Frontier Approach to Study the Efficiency of Taiwan’s Life Insurance Industry
作者 巫瑞虔
Wu, Ruei Cian
貢獻者 黃台心
Huang, Tai Hsin
巫瑞虔
Wu, Ruei Cian
關鍵詞 台灣壽險業
網絡SFA法
關聯結構函數
生產技術效率
成本效率
Life Insurance
Network Stochastic Frontier Approach
Copula
Technical Efficiency
Cost Efficiency
日期 2013
上傳時間 14-Jul-2014 11:32:44 (UTC+8)
摘要 本研究以2000至2012年台灣地區26間人壽保險公司的不平衡縱橫資料,運用網絡隨機邊界分析法將壽險業的生產過程分為行銷與投資兩階段進行效率評估,並利用估計結果計算規模彈性與成本彈性探討台灣壽險業的生產特性,附帶分析跨期技術變動率,最後比較不同分組的壽險公司間經營效率是否存在差異。
實證結果發現壽險公司在行銷活動過程投入較少的內勤員工與較多的固定資產,在投資階段則相反,投入較多的內勤員工與較少的固定資產,與壽險公司實際運作情況相符;此外,投資階段的效率優於第一階段的行銷效率。整體台灣壽險業受到2008年金融風暴影響導致經營效率下降,國內壽險公司在經營效率上優於外商壽險分公司,金控壽險公司生產技術效率優於非金控壽險公司,1993年後成立的新壽險公司生產技術效率平均優於傳統舊壽險公司。
This paper uses the copula-based network SFA model developed by Huang et al. (2013) to estimate the technical efficiency of Taiwan’s life insurance companies over the period 2000-2012. Under this framework, life insurance companies produce premium income as intermediate product which is one of input factors to produce investment income. The empirical analysis concluded: (a) life insurers use little internal staff in first stage, (b) domestic life insurers have both high technical efficiency and cost efficiency in comparison with foreign life insurers, (c) financial holding life insurers have greater technical efficiency than those of not from financial holding insurers, and (d) new life insurers have higher technical efficiency than old life insurers.
參考文獻 參考文獻
[1] 徐中琦、許志忠 (2011),「臺灣壽險業經營效率之研究-資料包絡分析法之應用」,《臺灣銀行季刊》,第62卷第2期
[2] 胡均立、尤雪娥與林芳麗 (2012),「臺灣地區人壽保險公司的效率分析-兩階段資料包絡分析方法之應用」,《保險經營與制度》,第11卷第1期,21-42 頁
[3] 黃旭男、吳國華 (2001),「台灣地區壽險業經營績效之衡量」,《管理與系統》,4,401-419頁
[4] 郝充仁、周林毅 (2003),「台灣壽險業經營效率與規模經濟之研究」,第四屆全國實證經濟學論文研討會
[5] 劉純之 (1994),「壽險公司經營效率評估-本國與外商公司的比較分析」,《保險專刊》,114-126頁
[6] 劉純之、李君屏 (1995),「經濟規模與壽險公司經營效率--兼論資料包絡分析法」,《壽險季刊》,第95期,19-28頁
[7] 葉彩蓮、陳澤義 (2000),「壽險業資源使用效率之衡量」,《臺灣銀行季刊》,322-341頁
[8] 盧永祥、王俊賢與李丞鍹 (2011),「臺灣壽險公司技術效率之差異分析-共同邊界資料包絡法之應用」,《經濟與管理論叢》,7(1),73-100頁
[9] 黃旭男與高棟梁 (2003),「台灣地區產險公司經營績效之評估-兩階段資料包絡分析法的應用」,銘傳大學管理科學研究所博士論文
[10] 王毓維 (2002),「台灣人壽保險產業成本效率分析」,朝陽科技大學財務金融研究所碩士論文
[11] 李君屏 (1994),「壽險公司經營效率之衡量-資料包絡分析法的應用」 ,逢甲大學保險學研究所碩士論文
[12] 吳飛美 (2008),「臺灣壽險公司競爭策略與經營效率之研究」,東吳大學商用數學系碩士論文
[13] 游麗真 (2005),「運用兩階段 DEA 評估台灣地區壽險公司之經營效率」,淡江大學保險學系保險經營碩士班碩士論文
[14] 楊慧琦 (2003),「應用資料包絡法在台灣壽險業經營效率分析之研究」,朝陽科技大學財務金融系碩士論文
[15] 鄭秀娟 (1996),「台灣地區壽險業經營績效之研究」,銘傳大學管理科學研究所碩士論文
[16] Afza, T. and M. J. A. Asghar (2012), “Financial reforms and efficiency in the insurance companies of Pakistan,” African Journal of Business Management, Vol.6, pp. 8957-8963
[17] Aigner, D., C. A. K. Lovell and P. Schmidt (1977), “Formulation and Estimation of Stochastic Frontier Production Function Models,” Journal of Econometrics, 6, pp. 21-37
[18] Allen, L. and A. Rai (1996), “Operational Efficiency in Banking: An International Comparison,” Journal of Banking and Finance, Vol. 20, pp. 655-672
[19] Amsler, C., A. Prokhorov and P. Schmidt (2014), “Using Copulas to Model Time Dependence in Stochastic Frontier Models,” Econometric Reviews, 33(5-6), pp. 497-522.
[20] Atkinson, S.E. and C. Cornwell (1993), “ Estimation of technical efficiency with panel data: A dual approach,” Journal of Econometrics, 59, pp. 257-262
[21] Barros, C. P., M. Nektarios and A. Assaf (2010), “Efficiency in the Greek insurance industry,” European Journal of Operational Research, 205, pp. 431-436
[22] Battese, G. E. and T. J. Coelli (1992), “Frontier Production Functions, Technical Efficiency and Panel Data: With Application to Paddy Farmers in India,” Journal of Productivity Analysis, vol. 3, pp. 153-169
[23] Battese, G. E. and T. J. Coelli (1995), “A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data,” Empirical Economics, Vol. 20, pp. 325-332
[24] Chen, T. Y. (2002), “Measuring Operation, Market and Financial Efficiency in the Management of Taiwan`s Banks,” Services Marketing Quarterly, 24, pp.15 – 27
[25] Cummins, J. D. and H. Zi (1998), “Comparison of Frontier Efficiency Methods: An Application to the U.S. Life Insurance Industry,” Journal of Productivity Analysis, 10, pp. 131-152
[26] Cummins, J. D., S. Tennyson, and M. A. Weiss (1999), “Consolidation and Efficiency in the US Life Insurance Industry,” Journal of Banking and Finance, Vol.23, pp. 325-357
[27] Färe, R. S., S. Grosskopf, and G. Whittaker (2005), “Network DEA,” Discussing Paper, Chapter 9
[28] Fecher, F., D. Kessler, and P. Pestieau (1993), “Productive Performance of the French Insurance Industry,” The Journal of Productivity Analysis, Vol.4, pp. 77-93
[29] Fenn, P., D. Vencappa, S. Diacon, P. Klumpes and C. O’Brien (2008), “Market structure and the efficiency of European insurance companies: A stochastic frontier analysis,” Journal of Banking & Finance, 32, pp. 8-100
[30] Greene, W. (2005), “Fixed and Random Effects in Stochastic Frontier Models,” Journal of Productivity Analysis, 23, pp. 7-32
[31] Greene, W. H. and D. Segal (2004), “Profitability and Efficiency in the U.S. Life Insurance Industry,” Journal of Productivity Analysis, 21, pp. 229-247
[32] Hardwick, P. (1997), “Measuring Cost Inefficiency in the UK Life Insurance Industry,” Applied Financial Economics, 7(1), pp. 37-44.
[33] Holod, D. and H.F. Lewis (2011), “Resolving the deposit dilemma: A new DEA bank efficiency model,” Journal of Banking and Finance, 35(11), 2801-2810
[34] Huang, T. H., K. C. Chen and C. I. Lin (2013), “An Extension from Network DEA to Copula-Based Network SFA,” Working Paper
[35] Kao, C. and S. N. Hwang (2008), “Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan,” European Journal of Operational Research, pp. 418-429
[36] Kumbhakar, S. C. and C. A. K. Lovell (2000), “Stochastic Frontier Analysis,” Cambridge University Press, Cambridge
[37] Lai, H. P. and C. J. Huang (2013), “Maximum Likelihood Estimation of Seemingly Unrelated Stochastic Frontier Regressions,” Journal of Productivity Analysis, 40(1), 1-14.
[38] Luo, X. (2001), “Evaluating the profitability and marketability efficiency of large banks An application of data envelopment analysis,” Journal of Business Research, 56, pp. 627-635
[39] Meeusen, W. and J. V. D. Broeck (1977), “Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error,” International Economic Review, 18, pp. 435-444
[40] Mehdi, R. E. and C. M. Hafner (2014), “Inference in stochastic frontier analysis with dependent error terms, ”Mathematics and Computers in Simulation, 102, pp. 131-143
[41] Poonkham, K. and S. Sriboonchitta (2013), “Efficiency of convention hotels in Thailand: An analysis using stochastic frontier with copula,” The Empirical Econometrics and Quantitative Economics Letters , 2(3)
[42] Repkine, A. (2013) “A copula-based approach to the simultaneous estimation of group and meta-frontiers by constrained maximum likelihood,” Australian Journal of Agricultural and Resource Economics, pp. 90-110.
[43] Ritter, C. and L. Simar (1997), “Pitfalls of Normal-Gamma Stochastic Frontier Models,” Journal of Productivity Analysis, 8, pp. 167-182
[44] Seiford, L. M. and J. Zhu (1999), “ Profitability and Marketability of the Top 55 U.S. Commercial Banks,” Management Science, 45(9), pp. 1270-1288
[45] Sexton, T.R. and H.F. Lewis (2003),“ Two-stage DEA: An application to major league baseball,” Journal of Productivity Analysis, 19, pp. 227-249
[46] Shahroudi, K., M. Taleghani and G. Mohammadi (2012), “Application of Two-Stage DEA Technique for Efficiencies Measuring of Private Insurance Companies in Iran,” International Journal of Applied Operational Research, Vol. 1, pp. 91-104
[47] Sklar, A. (1959), “Functions de Répartition àn Dimensions et Leurs Marges,” Publications de l’Institut de Statistique de L’Université de Paris, 8, pp. 229-231
[48] Tone, K. and M. Tsutsui (2010), “Dynamic DEA: A slacks-based measure approach,” Omega 38, pp. 145-156
[49] Tsay, W. J., C. J. Huang, T. T. Fu and I. L. Ho (2013), “A Simple Closed-form Approximation for the Cumulative Distribution Function of the Composite Error of Stochastic Frontier Models,” Journal of Productivity Analysis
[50] Yang, Z. (2006), “A two-stage DEA model to evaluate the overall performance of Canadian life and health insurance companies,” Mathematical and Computer Modelling, pp. 910–919
[51] Zhu, J. (2000), “Multi-Factor Performance Measure Model with an Application to Fortune 500 Companies,” European Journal of Operational Research, pp. 105-124
描述 碩士
國立政治大學
金融研究所
101352021
102
資料來源 http://thesis.lib.nccu.edu.tw/record/#G1013520214
資料類型 thesis
dc.contributor.advisor 黃台心zh_TW
dc.contributor.advisor Huang, Tai Hsinen_US
dc.contributor.author (Authors) 巫瑞虔zh_TW
dc.contributor.author (Authors) Wu, Ruei Cianen_US
dc.creator (作者) 巫瑞虔zh_TW
dc.creator (作者) Wu, Ruei Cianen_US
dc.date (日期) 2013en_US
dc.date.accessioned 14-Jul-2014 11:32:44 (UTC+8)-
dc.date.available 14-Jul-2014 11:32:44 (UTC+8)-
dc.date.issued (上傳時間) 14-Jul-2014 11:32:44 (UTC+8)-
dc.identifier (Other Identifiers) G1013520214en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/67486-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 金融研究所zh_TW
dc.description (描述) 101352021zh_TW
dc.description (描述) 102zh_TW
dc.description.abstract (摘要) 本研究以2000至2012年台灣地區26間人壽保險公司的不平衡縱橫資料,運用網絡隨機邊界分析法將壽險業的生產過程分為行銷與投資兩階段進行效率評估,並利用估計結果計算規模彈性與成本彈性探討台灣壽險業的生產特性,附帶分析跨期技術變動率,最後比較不同分組的壽險公司間經營效率是否存在差異。
實證結果發現壽險公司在行銷活動過程投入較少的內勤員工與較多的固定資產,在投資階段則相反,投入較多的內勤員工與較少的固定資產,與壽險公司實際運作情況相符;此外,投資階段的效率優於第一階段的行銷效率。整體台灣壽險業受到2008年金融風暴影響導致經營效率下降,國內壽險公司在經營效率上優於外商壽險分公司,金控壽險公司生產技術效率優於非金控壽險公司,1993年後成立的新壽險公司生產技術效率平均優於傳統舊壽險公司。
zh_TW
dc.description.abstract (摘要) This paper uses the copula-based network SFA model developed by Huang et al. (2013) to estimate the technical efficiency of Taiwan’s life insurance companies over the period 2000-2012. Under this framework, life insurance companies produce premium income as intermediate product which is one of input factors to produce investment income. The empirical analysis concluded: (a) life insurers use little internal staff in first stage, (b) domestic life insurers have both high technical efficiency and cost efficiency in comparison with foreign life insurers, (c) financial holding life insurers have greater technical efficiency than those of not from financial holding insurers, and (d) new life insurers have higher technical efficiency than old life insurers.en_US
dc.description.tableofcontents 口試委員會審定書                #
誌謝                      i
摘要                      ii
ABSTRACT                  iii
目錄                      iv
圖目錄                     vi
表目錄                    vii
第一章 緒論                 1
第一節 研究背景與動機            1
第二節 研究目的與方法            5
第三節 研究內容與架構            7
第二章 文獻回顧               9
第一節 壽險業經營效率            9
第二節 多階段保險業與銀行業效率      13
第三章 研究方法              18
第一節 隨機邊界法             18
第二節 網絡隨機邊界模型          19
第三節 關聯結構函數與最大概似估計法    24
第四章 資料來源與變數定義         27
第一節 資料來源              27
第二節 投入與產出變數之定義        28
第五章 實證結果與分析           32
第一節 生產函數與成本函數體系估計結果   32
第二節 傳統一階段成本函數模型       35
第三節 規模彈性、成本彈性與跨期技術變動  37
第四節 技術效率與成本效率分析       40
第五節 不同群組效率與技術變動率分析    46
第六章 結論與建議             52
參考文獻                    54
zh_TW
dc.format.extent 5089448 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G1013520214en_US
dc.subject (關鍵詞) 台灣壽險業zh_TW
dc.subject (關鍵詞) 網絡SFA法zh_TW
dc.subject (關鍵詞) 關聯結構函數zh_TW
dc.subject (關鍵詞) 生產技術效率zh_TW
dc.subject (關鍵詞) 成本效率zh_TW
dc.subject (關鍵詞) Life Insuranceen_US
dc.subject (關鍵詞) Network Stochastic Frontier Approachen_US
dc.subject (關鍵詞) Copulaen_US
dc.subject (關鍵詞) Technical Efficiencyen_US
dc.subject (關鍵詞) Cost Efficiencyen_US
dc.title (題名) 運用關聯結構網絡隨機邊界分析法探討我國壽險公司經營績效zh_TW
dc.title (題名) Applying the Copula-Based Network Stochastic Frontier Approach to Study the Efficiency of Taiwan’s Life Insurance Industryen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 參考文獻
[1] 徐中琦、許志忠 (2011),「臺灣壽險業經營效率之研究-資料包絡分析法之應用」,《臺灣銀行季刊》,第62卷第2期
[2] 胡均立、尤雪娥與林芳麗 (2012),「臺灣地區人壽保險公司的效率分析-兩階段資料包絡分析方法之應用」,《保險經營與制度》,第11卷第1期,21-42 頁
[3] 黃旭男、吳國華 (2001),「台灣地區壽險業經營績效之衡量」,《管理與系統》,4,401-419頁
[4] 郝充仁、周林毅 (2003),「台灣壽險業經營效率與規模經濟之研究」,第四屆全國實證經濟學論文研討會
[5] 劉純之 (1994),「壽險公司經營效率評估-本國與外商公司的比較分析」,《保險專刊》,114-126頁
[6] 劉純之、李君屏 (1995),「經濟規模與壽險公司經營效率--兼論資料包絡分析法」,《壽險季刊》,第95期,19-28頁
[7] 葉彩蓮、陳澤義 (2000),「壽險業資源使用效率之衡量」,《臺灣銀行季刊》,322-341頁
[8] 盧永祥、王俊賢與李丞鍹 (2011),「臺灣壽險公司技術效率之差異分析-共同邊界資料包絡法之應用」,《經濟與管理論叢》,7(1),73-100頁
[9] 黃旭男與高棟梁 (2003),「台灣地區產險公司經營績效之評估-兩階段資料包絡分析法的應用」,銘傳大學管理科學研究所博士論文
[10] 王毓維 (2002),「台灣人壽保險產業成本效率分析」,朝陽科技大學財務金融研究所碩士論文
[11] 李君屏 (1994),「壽險公司經營效率之衡量-資料包絡分析法的應用」 ,逢甲大學保險學研究所碩士論文
[12] 吳飛美 (2008),「臺灣壽險公司競爭策略與經營效率之研究」,東吳大學商用數學系碩士論文
[13] 游麗真 (2005),「運用兩階段 DEA 評估台灣地區壽險公司之經營效率」,淡江大學保險學系保險經營碩士班碩士論文
[14] 楊慧琦 (2003),「應用資料包絡法在台灣壽險業經營效率分析之研究」,朝陽科技大學財務金融系碩士論文
[15] 鄭秀娟 (1996),「台灣地區壽險業經營績效之研究」,銘傳大學管理科學研究所碩士論文
[16] Afza, T. and M. J. A. Asghar (2012), “Financial reforms and efficiency in the insurance companies of Pakistan,” African Journal of Business Management, Vol.6, pp. 8957-8963
[17] Aigner, D., C. A. K. Lovell and P. Schmidt (1977), “Formulation and Estimation of Stochastic Frontier Production Function Models,” Journal of Econometrics, 6, pp. 21-37
[18] Allen, L. and A. Rai (1996), “Operational Efficiency in Banking: An International Comparison,” Journal of Banking and Finance, Vol. 20, pp. 655-672
[19] Amsler, C., A. Prokhorov and P. Schmidt (2014), “Using Copulas to Model Time Dependence in Stochastic Frontier Models,” Econometric Reviews, 33(5-6), pp. 497-522.
[20] Atkinson, S.E. and C. Cornwell (1993), “ Estimation of technical efficiency with panel data: A dual approach,” Journal of Econometrics, 59, pp. 257-262
[21] Barros, C. P., M. Nektarios and A. Assaf (2010), “Efficiency in the Greek insurance industry,” European Journal of Operational Research, 205, pp. 431-436
[22] Battese, G. E. and T. J. Coelli (1992), “Frontier Production Functions, Technical Efficiency and Panel Data: With Application to Paddy Farmers in India,” Journal of Productivity Analysis, vol. 3, pp. 153-169
[23] Battese, G. E. and T. J. Coelli (1995), “A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data,” Empirical Economics, Vol. 20, pp. 325-332
[24] Chen, T. Y. (2002), “Measuring Operation, Market and Financial Efficiency in the Management of Taiwan`s Banks,” Services Marketing Quarterly, 24, pp.15 – 27
[25] Cummins, J. D. and H. Zi (1998), “Comparison of Frontier Efficiency Methods: An Application to the U.S. Life Insurance Industry,” Journal of Productivity Analysis, 10, pp. 131-152
[26] Cummins, J. D., S. Tennyson, and M. A. Weiss (1999), “Consolidation and Efficiency in the US Life Insurance Industry,” Journal of Banking and Finance, Vol.23, pp. 325-357
[27] Färe, R. S., S. Grosskopf, and G. Whittaker (2005), “Network DEA,” Discussing Paper, Chapter 9
[28] Fecher, F., D. Kessler, and P. Pestieau (1993), “Productive Performance of the French Insurance Industry,” The Journal of Productivity Analysis, Vol.4, pp. 77-93
[29] Fenn, P., D. Vencappa, S. Diacon, P. Klumpes and C. O’Brien (2008), “Market structure and the efficiency of European insurance companies: A stochastic frontier analysis,” Journal of Banking & Finance, 32, pp. 8-100
[30] Greene, W. (2005), “Fixed and Random Effects in Stochastic Frontier Models,” Journal of Productivity Analysis, 23, pp. 7-32
[31] Greene, W. H. and D. Segal (2004), “Profitability and Efficiency in the U.S. Life Insurance Industry,” Journal of Productivity Analysis, 21, pp. 229-247
[32] Hardwick, P. (1997), “Measuring Cost Inefficiency in the UK Life Insurance Industry,” Applied Financial Economics, 7(1), pp. 37-44.
[33] Holod, D. and H.F. Lewis (2011), “Resolving the deposit dilemma: A new DEA bank efficiency model,” Journal of Banking and Finance, 35(11), 2801-2810
[34] Huang, T. H., K. C. Chen and C. I. Lin (2013), “An Extension from Network DEA to Copula-Based Network SFA,” Working Paper
[35] Kao, C. and S. N. Hwang (2008), “Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan,” European Journal of Operational Research, pp. 418-429
[36] Kumbhakar, S. C. and C. A. K. Lovell (2000), “Stochastic Frontier Analysis,” Cambridge University Press, Cambridge
[37] Lai, H. P. and C. J. Huang (2013), “Maximum Likelihood Estimation of Seemingly Unrelated Stochastic Frontier Regressions,” Journal of Productivity Analysis, 40(1), 1-14.
[38] Luo, X. (2001), “Evaluating the profitability and marketability efficiency of large banks An application of data envelopment analysis,” Journal of Business Research, 56, pp. 627-635
[39] Meeusen, W. and J. V. D. Broeck (1977), “Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error,” International Economic Review, 18, pp. 435-444
[40] Mehdi, R. E. and C. M. Hafner (2014), “Inference in stochastic frontier analysis with dependent error terms, ”Mathematics and Computers in Simulation, 102, pp. 131-143
[41] Poonkham, K. and S. Sriboonchitta (2013), “Efficiency of convention hotels in Thailand: An analysis using stochastic frontier with copula,” The Empirical Econometrics and Quantitative Economics Letters , 2(3)
[42] Repkine, A. (2013) “A copula-based approach to the simultaneous estimation of group and meta-frontiers by constrained maximum likelihood,” Australian Journal of Agricultural and Resource Economics, pp. 90-110.
[43] Ritter, C. and L. Simar (1997), “Pitfalls of Normal-Gamma Stochastic Frontier Models,” Journal of Productivity Analysis, 8, pp. 167-182
[44] Seiford, L. M. and J. Zhu (1999), “ Profitability and Marketability of the Top 55 U.S. Commercial Banks,” Management Science, 45(9), pp. 1270-1288
[45] Sexton, T.R. and H.F. Lewis (2003),“ Two-stage DEA: An application to major league baseball,” Journal of Productivity Analysis, 19, pp. 227-249
[46] Shahroudi, K., M. Taleghani and G. Mohammadi (2012), “Application of Two-Stage DEA Technique for Efficiencies Measuring of Private Insurance Companies in Iran,” International Journal of Applied Operational Research, Vol. 1, pp. 91-104
[47] Sklar, A. (1959), “Functions de Répartition àn Dimensions et Leurs Marges,” Publications de l’Institut de Statistique de L’Université de Paris, 8, pp. 229-231
[48] Tone, K. and M. Tsutsui (2010), “Dynamic DEA: A slacks-based measure approach,” Omega 38, pp. 145-156
[49] Tsay, W. J., C. J. Huang, T. T. Fu and I. L. Ho (2013), “A Simple Closed-form Approximation for the Cumulative Distribution Function of the Composite Error of Stochastic Frontier Models,” Journal of Productivity Analysis
[50] Yang, Z. (2006), “A two-stage DEA model to evaluate the overall performance of Canadian life and health insurance companies,” Mathematical and Computer Modelling, pp. 910–919
[51] Zhu, J. (2000), “Multi-Factor Performance Measure Model with an Application to Fortune 500 Companies,” European Journal of Operational Research, pp. 105-124
zh_TW