Infeasibility and directional distance functions with application to the determinateness of the luenberger productivity indicator

Journal of Optimization Theory and Applications

Volumn 141, Issue 1, 2009, Pages 55-73

  Briec, W ^a   Kerstens, K ^b  

^a UNIVERSITÉ DE PERPIGNAN   (France)

^b IESEG SCHOOL OF MANAGEMENT   (France)

Author keywords

Determinateness; Directional distance function; Infeasibility; Shortage function; Well definedness

Indexed keywords

DETERMINATENESS; DIRECTIONAL DISTANCE FUNCTION; DISTANCE FUNCTIONS; ECONOMIC CONDITION; GENERALISATION; INDEX THEORY; INFEASIBILITY; PROPERTY; SHORTAGE FUNCTION; WELL-DEFINEDNESS;

PRODUCTIVITY;

EID: 62949178499     PISSN: 00223239     EISSN: 15732878     Source Type: Journal    
DOI: 10.1007/s10957-008-9503-2     Document Type: Article

References (35)

1. Shephard, R.W.: Theory of Cost and Production Functions. Princeton University Press, Princeton (1970)
2. D.G. Luenberger 1992 Benefit functions and duality J. Math. Econ. 21 5 461 481
3. D.G. Luenberger 1992 New optimality principles for economic efficiency and equilibrium J. Optim. Theory Appl. 75 2 221 264
4. Luenberger, D.G.: Microeconomic Theory. McGraw Hill, New York (1995)
5. R.G. Chambers Y. Chung R. Färe 1996 Benefit and distance functions J. Econ. Theory 70 2 407 419
6. R.G. Chambers Y. Chung R. Färe 1998 Profit, directional distance functions, and Nerlovian efficiency J. Optim. Theory Appl. 98 2 351 364
7. R.G. Chambers R. Färe S. Grosskopf 1996 Productivity growth in APEC countries Pac. Econ. Rev. 1 3 181 190
8. Mc Fadden, D.: Cost, revenue, and profit functions. In: Fuss, M., McFadden, D. (eds.) Production Economics: A Dual Approach to Theory and Applications, vol. 1, pp. 3-109. North-Holland, Amsterdam (1978)
9. Fischer, I.: The Making of Index Numbers. Houghton-Mifflin, Boston (1922)
10. S. Swamy 1965 Consistency of Fisher's tests Econometrica 33 3 619 623
11. W. Eichorn 1976 Fisher's tests revisited Econometrica 44 2 247 256
12. P. Samuelson S. Swamy 1974 Invariant economic index numbers and canonical duality: survey and synthesis Am. Econ. Rev. 64 4 566 593
13. R. Färe V. Lyon 1981 The determinateness test and economic price indices Econometrica 49 1 209 213
14. D.W. Caves L.R. Christensen W.E. Diewert 1982 The economic theory of index numbers and the measurement of input, output, and productivity Econometrica 50 6 1393 1414
15. Färe, R., Grosskopf, S., Lindgren, B., Roos, P.: Productivity developments in Swedish hospitals: a Malmquist output index approach. In: Charnes, A., Cooper, W.W., Lewin, A.Y., Seiford, L.M. (eds.) Data Envelopment Analysis: Theory, Methodology and Applications, pp. 253-272. Kluwer Academic, Dordrecht (1995)
16. R.G. Chambers R.D. Pope 1996 Aggregate productivity measures Am. J. Agric. Econ. 78 5 1360 1365
17. R.G. Chambers 2002 Exact nonradial input, output, and productivity measurement Econ. Theory 20 4 751 765
18. W.E. Diewert 2005 Index number theory using differences rather than ratios Am. J. Econ. Soc. 64 1 347 395
19. Färe, R., Grosskopf, S., Lovell, C.A.K.: Production Frontiers. Cambridge University Press, Cambridge (1994)
20. K. Mukherjee S.C. Ray S.M. Miller 2001 Productivity growth in large US commercial banks: the initial post-deregulation experience J. Bank. Finance 25 5 913 939
21. H. Varian 1984 The nonparametric approach to production analysis Econometrica 52 3 579 597
22. R.D. Banker A. Maindiratta 1988 Nonparametric analysis of technical and allocative efficiencies in production Econometrica 56 6 1315 1332
23. S.E. Atkinson C. Cornwell O. Honerkamp 2003 Measuring and decomposing productivity change: stochastic distance function estimation versus data envelopment analysis J. Bus. Econ. Stat. 21 2 284 294
24. J.-P. Chavas T. Cox 1999 A generalized distance function and the analysis of production efficiency South. Econ. J. 66 2 294 318
25. E.C. Jaenicke 2000 Testing for intermediate outputs in dynamic DEA models: accounting for soil capital in rotational crop production and productivity measures J. Prod. Anal. 14 3 247 266
26. W. Briec 1997 A graph type extension of Farrell technical efficiency measure J. Prod. Anal. 8 1 95 110
27. C. Blackorby D. Donaldson 1980 A theoretical treatment of indices of absolute inequality Int. Econ. Rev. 21 1 107 136
28. J.C. Glass D.G. Mac Killop 2000 A post deregulation analysis of the sources of productivity growth in UK building societies Manch. Sch. 68 3 360 385
29. W. Briec J.-B. Lesourd 1999 Metric distance function and profit: some duality result J. Optim. Theory Appl. 101 1 15 33
30. P. Ouellette V. Vierstraete 2004 Technological change and efficiency in the presence of quasi-fixed inputs: a DEA application to the hospital sector Eur. J. Oper. Res. 154 3 755 763
31. Balk, B.M.: Industrial Price, Quantity, and Productivity Indices: The Micro-Economic Theory and an Application. Kluwer Academic, Dordrecht (1998)
32. S.C. Ray K. Mukherjee 1996 Decompositions of the Fisher ideal index of productivity: a non-parametric dual analysis of US airlines data Econ. J. 106 439 1659 1678
33. E. Grifell-Tatjé C.A.K. Lovell 1999 Profits and productivity Manag. Sci. 45 9 1177 1193
34. S. Malmquist 1953 Index numbers and indifference surfaces Trab. Estad. 4 2 209 242
35. A. Konüs 1939 The problem of the true index of the cost of living Econometrica 7 1 10 29