TESTING RESTRICTIONS IN NONPARAMETRIC EFFICIENCY MODELS

This paper discusses statistical procedures for testing various restrictions in the context of nonparametric models of technical efficiency. In particular, tests for whether inputs or outputs are irrelevant, as well as tests of whether inputs or outputs may be aggregated are formulated. Bootstrap estimation procedures which yield appropriate critical values for the test statistics are also provided. Evidence on the true sizes and power of the proposed tests is obtained from Monte Carlo experiments.

[1]  G. Debreu.  The Coefficient of Resource Utilization , 1951 .

[2]  M. Farrell.  The Measurement of Productive Efficiency , 1957 .

[3]  A. Stuart,et al.  Portfolio Selection: Efficient Diversification of Investments , 1959 .

[4]  R. Shepherd.  Theory of cost and production functions , 1970 .

[5]  H. Markowitz.  Portfolio Selection: Efficient Diversification of Investments , 1971 .

[6]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[7]  D. Freedman,et al.  Some Asymptotic Theory for the Bootstrap , 1981 .

[8]  B. Efron,et al.  The Jackknife: The Bootstrap and Other Resampling Plans. , 1983 .

[9]  R. Färe,et al.  The measurement of efficiency of production , 1985 .

[10]  Bernard W. Silverman,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[11]  B. Efron.  The jackknife, the bootstrap, and other resampling plans , 1987 .

[12]  C. D. Kemp,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[13]  Rolf Färe,et al.  Fundamentals of production theory , 1988 .

[14]  Gilles R. Ducharme,et al.  Asymptotic Theory for Bootstrap Methods in Statistics , 1991 .

[15]  J. Sengupta.  Maximum probability dominance and portfolio theory , 1991 .

[16]  P. Hall.  The Bootstrap and Edgeworth Expansion , 1992 .

[17]  Robert Tibshirani,et al.  An Introduction to the Bootstrap , 1994 .

[18]  R. Banker.  Maximum likelihood, consistency and data envelopment analysis: a statistical foundation , 1993 .

[19]  Paul W. Wilson,et al.  Explaining Bank Failures: Deposit Insurance, Regulation, and Efficiency , 1993 .

[20]  J. Sengupta,et al.  Portfolio efficiency tests based on stochastic dominance and co-integration , 1993 .

[21]  Léopold Simar,et al.  On estimation of monotone and convex boundaries , 1995 .

[22]  Lawrence M. Seiford,et al.  Data envelopment analysis: The evolution of the state of the art (1978–1995) , 1996 .

[23]  J. Simonoff.  Multivariate Density Estimation , 1996 .

[24]  Lawrence M. Seiford,et al.  A bibliography for Data Envelopment Analysis (1978-1996) , 1997, Ann. Oper. Res..

[25]  P. W. Wilson,et al.  Some Problems with the Ferrier/Hirschberg Bootstrap Idea , 1997 .

[26]  P. W. Wilson,et al.  Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models , 1998 .

[27]  B. Park,et al.  A NOTE ON THE CONVERGENCE OF NONPARAMETRIC DEA ESTIMATORS FOR PRODUCTION EFFICIENCY SCORES , 1998, Econometric Theory.

[28]  P. W. Wilson,et al.  Statistical Inference in Nonparametric Frontier Models: The State of the Art , 1999 .

[29]  Léopold Simar,et al.  Of Course We Can Bootstrap DEA Scores! But Does It Mean Anything? Logic Trumps Wishful Thinking , 1999 .

[30]  E. Mammen,et al.  On estimation of monotone and concave frontier functions , 1999 .

[31]  Leâ Opold Simar,et al.  A general methodology for bootstrapping in non-parametric frontier models , 2000 .

[32]  David C. Wheelock,et al.  Why do Banks Disappear? The Determinants of U.S. Bank Failures and Acquisitions , 2000, Review of Economics and Statistics.