本研究衡量銀行分支機構的經營效率，使用Translog隨機邊界生產函數法，以2007至2010年度合計四年為研究期間，選取國內某商業銀行175家分支機構，共700筆觀察值為研究對象，經由實證分析得到下列結論：
一、分行位於工商業發達的縣市（地區），放款總額技術效率值較高，但放款營收技術效率值卻較低，係因銀行間彼此競爭的結果。分行位於工商業不發達的縣市（地區），表現與上述相反。實際盈餘因非利息收入增加，有助技術效率值表現。
二、非工業區分行放款總額技術效率較工業區技術效率值高，係因工業區承作個人放款（房貸）少；但工業區以中小企業居多，所以放款營收及獲利表現較佳。
三、都市型分行較非都市型分行放款總額之技術效率值高，但因競爭造成利差因素，所以放款營收及實際盈餘技術效率值表現不佳。
四、營業規模愈大的分行，通常位於工商業較發達的縣市（地區）且成立年數較久，客戶資源多，雖因競爭以致放款利息收入減少，但非利息收入較高，所以整體盈餘水準較營業規模小的分行為佳。

　 The purpose of this study is to measure the operating efficiency of bank
branches by using Translog stochastic frontier production function approach. In
this study, we select a domestic commercial bank as an example, which
consists of 175 branches and collects operating data from the year of 2007 to
2010.Our empirical results indicate:
First, due to the competition, branches located in the industrial and
commercial areas have higher technical efficiency values from the measure of
loans, but lower values form the measure of revenues. However, branches
located in the less developed areas, the performance is reversed.
Second, due to personal mortgage, branches located in the non-industrial
areas have higher technical efficiency values from the measure of loans.
However, branches located in the industrial areas have higher technical
efficiency values from the measure of revenues and earnings because of mostly
small and medium-sized enterprise.
Third, due to the interest differential, branches located in the urban areas
have higher technical efficiency values from the measure of loans, but lower
values form revenues and earnings.
Finally, due to non-interest income, large-scale branches have higher
technical efficiency values from the measure of earnings.

一、中文文獻：
〔1〕陳家良（2004），「Generalized Translog 函數之使用－金融控股公司成立後銀行業與票券業績效之評估」，東吳大學經濟研究所碩士論文。
〔2〕陳碧绣（1995），「台灣地區本國銀行成本邊界函數之分析」，東吳經濟商學報，第十六期，頁11-154。
〔3〕黃台心（1997），「台灣地區本國銀行成本效率之實證研究：隨機邊界模型之應用」，人文及社會科學集刊，第九卷第一期，頁85-123。
〔4〕黃台心（1998），「以隨機成本邊界函數分析本國銀行的規模與多元經濟」，經濟論文叢刊，第二十六卷第三期，頁209-241。
〔5〕 黃鏡如、傅祖壇、黃美瑛（2008），績效評估－效率與生產力之理論與應用，初版，新陸書局股份有限公司，台北市。
〔6〕鄭秀玲，陳欽奇（1996），「國內外銀行業規模經濟、多樣化經濟及效率研究之比較」，經濟研究，第三十四卷第三期，頁111-147。
〔7〕鄭秀玲、劉錦添、陳欽奇（1997），「台灣中小企業銀行的效率分析（1986-1994）」，經濟論文，第二十五卷第一期，頁69-95。
〔8〕賴衍熙（2001），「網路銀行與多角化程度影響銀行經營效率之分析」，東吳大學經濟研究所碩士論文。
〔9〕謝欣君（2002），「成立金融控股公司對成本、效率及市場競爭影響之模擬分析」，東吳大學經濟研究所碩士論文。
〔10〕蘇怡心（2006），「金融控股公司成立前後旗下子公司經營績效之評估－Generalized Translog 成本函數之應用」，國立台北大學經濟學系研究所碩士論文。
〔11〕羅蕙琪（1993），「台灣地區本國銀行的效率分析」，東吳大學經濟研究所碩士論文。
二、國外文獻：
〔1〕Afriat,S.N (1972), “Efficiency Estimation of Production Function,” International Economics Review, 13, 568-598.
〔2〕Aigner, D. J. and S. F. Chu (1968), “On Estimating The Industry Production Function,” American Economic Review, 58, 826-839.
〔3〕Aigner, D. J., C. A. K. Lovell and P. Schmidt (1977), “Formulation and Estimation of Stochastic Frontier Production Function Models,” Journal of Econometrics, 6:1, 21-37.
〔4〕Battese,C.E and T.J.Coelli (1992), “Frontier Production Function , Technical Efficiency and Panel Data:With Alication to Paddy Farmers in India,”Journal of Productivity Analysis, 3, 153-169.
〔5〕Battese,C.E and T.J.Coelli (1995), “A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data, ” Empirical Economics, 20, 325-332.
〔6〕Berger and Humphrey (1991), “The dominance of inefficiencies over scale and product mix economics in banking,” Journal of Monetary Economics, 28, 117-148.
〔7〕Coelli, T.J. and G.E. Battese (1995), “A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data,” Empirical Economics, 20, 235-332.
〔8〕Coelli, T.J. and G.E. Battese (1996), “Indentification of Factors Which Influence the Technical Infficiency of Indian Farmers,” Australian Journal of Agricultural Economics, 40(2), 103-128.
〔9〕Elyasiani E. and S. Mehdian (1990), “Efficiency in the Commercial Banking Industry, a Production Frontier Approach,” Applied Economics, 22, 539-551.
〔10〕Farrell, M. J. (1957), “The Measurement of Productive Efficiency,” Journal of the Royal Statistical Society, 120, 253-290.
〔11〕Ferrier, G. D. and C. A. K. Lovell (1990), “Measuring Cost Efficiency In Banking: Econometric and Linear Programming Evidence,” Journal of Econometrics, 46, 229-245.
〔12〕Ferrier, G. D., S. Grosskopf, K. J. Hayes and S. Yaisawarng (1993), “Economies of Diversification in the Banking Industry,” Journal of Monetary Economics, 31, 229-249.
〔13〕Greene, W.H. (1990), “A Gamma-distributed Stochastic Frontier Model,” Journal of Econometrics, 46, 141-164.
〔14〕Huang, C.J. and J.T. Liu (1994), “Estimation of a Non-neutral Stochastic Frontier Production Function,” Journal of Productivity Analysis, 5, 171-180.
〔15〕Kaparakes,E.I,S.M Miller and A.G Noulas (1994), “Short-Run Cost Inefficiency of Commerical Banks: A Flexible Stochastic Frontier Approach,” Journal of Money,Credit and Banking, 26, 875-893.
〔16〕Lang, G. and P. Welzel (1999), “Mergers among German Cooperative Banks: A Panel-based Stochastic Frontier Analysis,” Small Business Economics, 13, 273-286.
〔17〕Meeusen, W. and J. van den Broeck (1977), “Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error,” International Economic Review, 18, 435-444.
〔18〕Pitt, M.M. and L.F. Lee (1981), “The measurement and sources of technical inefficiency in the Indonesian weaving industry,” Journal of Development Economics, 9, 43-64.
〔19〕Reifschneider,D and R.Stevenson (1991), “Systematic Departures from the Frontier:A Framework for the Analysis of Firm Inefficiency,” International Economic Review, 32,715-723.
〔20〕Richmond, J. (1974), “Estimating the Efficiency of Production,” International Economic Review, 15, 515-521.
〔21〕Schmidt, P. (1976), “ On the Statistical Estimation of Parametric Frontier Production Functions, ” Review of Economics and Statistics, 58(2), 238-239.
〔22〕Schmidt, P. and R. C. Sickles (1984), “Production Frontier and Panel Data,” Journal of Business and Economies Statistics, 2, 367-374.