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Estimating Multiproduct Cost Functions Over Time Using a Mixture of Normals

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  • Daniel Gropper
  • Steven Caudill
  • T. Beard

Abstract

This article proposes the use of finite mixtures of probability distributions to estimate cost functions. The mixture technique allows for the simultaneous existence and unobservability of multiple technologies of production. Technology switching by firms and conventional technical change can be studied directly. We illustrate the technique on a large sample of U.S. Savings and Loan companies, and find strong evidence of multiple technologies. We compare the mixture results to conventional stochastic cost frontier and thick frontier models, and highlight their differences. Copyright Kluwer Academic Publishers 1999

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  • Daniel Gropper & Steven Caudill & T. Beard, 1999. "Estimating Multiproduct Cost Functions Over Time Using a Mixture of Normals," Journal of Productivity Analysis, Springer, vol. 11(3), pages 201-218, June.
  • Handle: RePEc:kap:jproda:v:11:y:1999:i:3:p:201-218
    DOI: 10.1023/A:1007736003616
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    1. Jalal D. Akhavein & Allen N. Berger & David B. Humphrey, "undated". "The Effects of Megamergers on Efficiency and Prices: Evidence from a Bank Profit Function," Finance and Economics Discussion Series 1997-09, Board of Governors of the Federal Reserve System (U.S.), revised 10 Dec 2019.
    2. Caudill, Steven B. & Ford, Jon M., 1993. "Biases in frontier estimation due to heteroscedasticity," Economics Letters, Elsevier, vol. 41(1), pages 17-20.
    3. Berger, Allen N. & Humphrey, David B., 1997. "Efficiency of financial institutions: International survey and directions for future research," European Journal of Operational Research, Elsevier, vol. 98(2), pages 175-212, April.
    4. Noulas, Athanasios G & Ray, Subhash C & Miller, Stephen M, 1990. "Returns to Scale and Input Substitution for Large U.S. Banks," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 22(1), pages 94-108, February.
    5. Murray, John D & White, Robert W, 1983. "Economies of Scale and Economies of Scope in Multiproduct Financial Institutions: A Study of British Columbia Credit Unions," Journal of Finance, American Finance Association, vol. 38(3), pages 887-902, June.
    6. Allen N. Berger & David B. Humphrey, 1992. "Measurement and Efficiency Issues in Commercial Banking," NBER Chapters, in: Output Measurement in the Service Sectors, pages 245-300, National Bureau of Economic Research, Inc.
    7. Mester, Loretta J., 1993. "Efficiency in the savings and loan industry," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 267-286, April.
    8. Gropper, Daniel M, 1991. "An Empirical Investigation of Changes in Scale Economies for the Commercial Banking Firm, 1979-1986," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(4), pages 718-727, November.
    9. Miller, Stephen M. & Noulas, Athanasios G., 1996. "The technical efficiency of large bank production," Journal of Banking & Finance, Elsevier, vol. 20(3), pages 495-509, April.
    10. Bauer, Paul W. & Hancock, Diana, 1993. "The efficiency of the Federal Reserve in providing check processing services," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 287-311, April.
    11. Berger, Allen N. & Mester, Loretta J., 1997. "Inside the black box: What explains differences in the efficiencies of financial institutions?," Journal of Banking & Finance, Elsevier, vol. 21(7), pages 895-947, July.
    12. Benston, George J & Hanweck, Gerald A & Humphrey, David B, 1982. "Scale Economies in Banking: A Restructuring and Reassessment," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 14(4), pages 435-456, November.
    13. Elyasiani, Elyas & Mehdian, Seyed, 1992. "Productive efficiency performance of minority and nonminority-owned banks: A nonparametric approach," Journal of Banking & Finance, Elsevier, vol. 16(5), pages 933-948, September.
    14. Allen, Linda & Rai, Anoop, 1996. "Operational efficiency in banking: An international comparison," Journal of Banking & Finance, Elsevier, vol. 20(4), pages 655-672, May.
    15. Hunter, William C & Timme, Stephen G, 1986. "Technical Change, Organizational Form, and the Structure of Bank Production," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 18(2), pages 152-166, May.
    16. Battese, George E. & Corra, Greg S., 1977. "Estimation Of A Production Frontier Model: With Application To The Pastoral Zone Of Eastern Australia," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 21(3), pages 1-11, December.
    17. Rangan, Nanda & Zardkoohi, Asghar & Kolari, James & Fraser, Donald, 1989. "Production costs for consolidated multibank holding companies compared to one-bank organizational forms," Journal of Economics and Business, Elsevier, vol. 41(4), pages 317-325, November.
    18. Bauer, Paul W., 1990. "Recent developments in the econometric estimation of frontiers," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 39-56.
    19. Le Compte, Richard L B & Smith, Stephen D, 1990. "Changes in the Cost of Intermediation: The Case of Savings and Loans," Journal of Finance, American Finance Association, vol. 45(4), pages 1337-1346, September.
    20. Hancock, Diana, 1986. "A model of the financial firm with imperfect asset and deposit elasticities," Journal of Banking & Finance, Elsevier, vol. 10(1), pages 37-54, March.
    21. Ferrier, Gary D. & Grosskopf, Shawna & Hayes, Kathy J. & Yaisawarng, Suthathip, 1993. "Economies of diversification in the banking industry : A frontier approach," Journal of Monetary Economics, Elsevier, vol. 31(2), pages 229-249, April.
    22. Andrew M. Yuengert, 1993. "The measurement of efficiency in life insurance estimates of a mixed normal-gamma error model," Research Paper 9308, Federal Reserve Bank of New York.
    23. Berger, Allen N. & Hancock, Diana & Humphrey, David B., 1993. "Bank efficiency derived from the profit function," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 317-347, April.
    24. Ferrier, Gary D. & Lovell, C. A. Knox, 1990. "Measuring cost efficiency in banking : Econometric and linear programming evidence," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 229-245.
    25. Reifschneider, David & Stevenson, Rodney, 1991. "Systematic Departures from the Frontier: A Framework for the Analysis of Firm Inefficiency," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 715-723, August.
    26. Clark, Jeffrey A, 1996. "Economic Cost, Scale Efficiency, and Competitive Viability in Banking," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(3), pages 342-364, August.
    27. Jondrow, James & Knox Lovell, C. A. & Materov, Ivan S. & Schmidt, Peter, 1982. "On the estimation of technical inefficiency in the stochastic frontier production function model," Journal of Econometrics, Elsevier, vol. 19(2-3), pages 233-238, August.
    28. Hunter, William C & Timme, Stephen G & Yang, Won Keun, 1990. "An Examination of Cost Subadditivity and Multiproduct Production in Large U.S. Banks," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 22(4), pages 504-525, November.
    29. Robert DeYoung, 1998. "Management Quality and X-Inefficiency in National Banks," Journal of Financial Services Research, Springer;Western Finance Association, vol. 13(1), pages 5-22, February.
    30. Schmidt, Peter & Knox Lovell, C. A., 1979. "Estimating technical and allocative inefficiency relative to stochastic production and cost frontiers," Journal of Econometrics, Elsevier, vol. 9(3), pages 343-366, February.
    31. Berger, Allen N. & Hunter, William C. & Timme, Stephen G., 1993. "The efficiency of financial institutions: A review and preview of research past, present and future," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 221-249, April.
    32. Clark, Jeffrey A, 1984. "Estimation of Economies of Scale in Banking Using a Generalized Functional Form," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 16(1), pages 53-68, February.
    33. Berger, Allen N. & Hanweck, Gerald A. & Humphrey, David B., 1987. "Competitive viability in banking : Scale, scope, and product mix economies," Journal of Monetary Economics, Elsevier, vol. 20(3), pages 501-520, December.
    34. Gilligan, Thomas & Smirlock, Michael & Marshall, William, 1984. "Scale and scope economies in the multi-product banking firm," Journal of Monetary Economics, Elsevier, vol. 13(3), pages 393-405, May.
    35. Mester, Loretta J., 1996. "A study of bank efficiency taking into account risk-preferences," Journal of Banking & Finance, Elsevier, vol. 20(6), pages 1025-1045, July.
    36. English, M. & Grosskopf, S. & Hayes, K. & Yaisawarng, S., 1993. "Output allocative and technical efficiency of banks," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 349-366, April.
    37. Jagtiani, Julapa & Khanthavit, Anya, 1996. "Scale and scope economies at large banks: Including off-balance sheet products and regulatory effects (1984-1991)," Journal of Banking & Finance, Elsevier, vol. 20(7), pages 1271-1287, August.
    38. George E. Battese & Greg S. Corra, 1977. "Estimation Of A Production Frontier Model: With Application To The Pastoral Zone Of Eastern Australia," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 21(3), pages 169-179, December.
    39. Yuengert, Andrew M., 1993. "The measurement of efficiency in life insurance: Estimates of a mixed normal-gamma error model," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 483-496, April.
    40. McAllister, Patrick H. & McManus, Douglas, 1993. "Resolving the scale efficiency puzzle in banking," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 389-405, April.
    41. Caudill, Steven B & Ford, Jon M & Gropper, Daniel M, 1995. "Frontier Estimation and Firm-Specific Inefficiency Measures in the Presence of Heteroscedasticity," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 105-111, January.
    42. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
    43. DeYoung, Robert & Nolle, Daniel E, 1996. "Foreign-Owned Banks in the United States: Earning Market Share or Buying It?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(4), pages 622-636, November.
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