Estimating a multiple output generalized Box-Cox cost function: Cost structure and productivity growth in Belgian railroad operations, 1950-1986

Abstract In this paper we estimate a multiple-output generalization of Berndt and Khaled's Box-Cox cost model to study the cost structure and growth in productivity in Belgian railroad operations. The estimated model includes several commonly used flexible functional forms as special or limiting cases. Empirical results indicate approximately constant returns to scale and an average rate of productivity growth of slightly less than 2% over the sample period. These findings were robust across cost function specifications, casting some doubt on the importance of choosing among flexible functional forms.

[1]  Maurice Marchand,et al.  Shadow pricing of labour and capital in an economy with unemployed labour , 1984 .

[2]  R. Pindyck Interfuel Substitution and the Industrial Demand for Energy: An International Comparison , 1979 .

[3]  Douglas W. Caves,et al.  Productivity in U.S. Railroads, 1951-1974 , 1980 .

[4]  M. McElroy Additive General Error Models for Production, Cost, and Derived Demand or Share Systems , 1987, Journal of Political Economy.

[5]  Ernst R. Berndt,et al.  Engineering and Econometric Interpretations of Energy-Capital Complementarity: Reply and Further Results , 1979 .

[6]  T E Keeler,et al.  RAILROAD COSTS, RETURNS TO SCALE, AND EXCESS CAPACITY. IN: RAILWAYS , 1974 .

[7]  G. H. Borts THE ESTIMATION OF RAIL COST FUNCTIONS , 1960 .

[8]  Ernst R. Berndt,et al.  Parametric Productivity Measurement and Choice Among Flexible Functional Forms , 1979, Journal of Political Economy.

[9]  Robin C. Sickles,et al.  The CES-Translog: Specification and Estimation of a New Cost Function , 1984 .

[10]  C. Lovell,et al.  Testing Efficiency Hypotheses in Joint Production: A Parametric Approach , 1983 .

[11]  Tae Hoon Oum,et al.  Airline Cost and Performance: Implications for Public and Industry Policies , 1986 .

[12]  Walter Diewert,et al.  An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function , 1971, Journal of Political Economy.

[13]  A. Friedlaender,et al.  Output Aggregation, Network Effects, and the Measurement of Trucking Technology , 1984 .

[14]  Bruno De Borger,et al.  HEDONIC VERSUS HOMOGENEOUS OUTPUT SPECIFICATIONS OF RAILROAD TECHNOLOGY : BELGIAN RAILROADS 1950-1986 , 1991 .

[15]  K. Palmer Using an upper bound on stand-alone cost in tests of cross subsidy , 1991 .

[16]  Z. Griliches Cost Allocation in Railroad Regulation , 1972 .

[17]  R. Hall The Specification of Technology with Several Kinds of Output , 1973, Journal of Political Economy.

[18]  Pierre Pestieau,et al.  Technical performance in public enterprises : A comparative study of railways and postal services , 1988 .

[19]  A. Lewbel,et al.  Nesting the AIDS and Translog Demand System , 1989 .

[20]  Gary D. Ferrier,et al.  Measuring cost efficiency in banking: Econometric and linear programming evidence , 1990 .

[21]  M. Ohta,et al.  A NOTE ON THE DUALITY BETWEEN PRODUCTION AND COST FUNCTIONS: RATE OF RETURNS TO SCALE AND RATE OF TECHNICAL PROGRESS , 1974 .

[22]  David L. Ryan,et al.  Testing for Non-jointness in Oil and Gas Exploration: A Variable Profit Function Approach , 1989 .

[23]  G. Hasenkamp,et al.  A study of multiple-output production functions: Klein's railroad study revisited , 1976 .

[24]  Daniel McFadden,et al.  The General Linear Profit Function , 1978 .

[25]  Mark A. Turnquist,et al.  A Firm Specific Analysis of Economies of Density in the U.S. Railroad Industry , 1984 .

[26]  Joseph E. Stiglitz,et al.  Economics of the Public Sector , 1986 .

[27]  W. Diewert,et al.  Flexible Functional Forms and Global Curvature Conditions , 1989 .

[28]  Douglas W. Caves,et al.  Productivity Growth, Scale Economies, and Capacity Utilization in U.S. Railroads, 1955-74 , 1981 .

[29]  William A. Barnett,et al.  New Indices of Money Supply and the Flexible Laurent Demand System , 1983 .

[30]  Kenneth J. Arrow,et al.  A Textbook of Econometrics. , 1954 .