DOI:10.16158/j.cnki.51-1312/f.2010.10.010 2010. 10 DEA - Malmquist ( 710061 ) DEA - Malmquist 2003 2008 2003 2008 TFP 11. 3% TFP 1. 005 1. 107 TFP 2004 2006 2004 2006 2006 F014. 2 A 1003 5656 ( 2010 ) 10 0064 08 90 21 2008 2003 2008 1953 Malmquist Malmquist Caves Christensen Diewert 1982 [ 1 Malmquist DEA F re 1994 Malmquist TFP Malmquist TFP 70873091-64 -
ECONOMIST 2010. 10 [ 2 Malmquist Malmquist TFP TFP Malmquist TFP Malmquist DEA DEA - Malmquist [ 3 Fuss(1994 ) Bell Madden Savage (1999 ) [ 4 Malmquist Calabrese (2002) Malmquist 1979 1998 13 OECD TFP [ 5 1980 Rushidi(2000 ) Telstra TFP 4. 9% 10. 1% [ 6 2008 [ 7 2008 DEA 2002 2004 [ 8 DEA DEA Malmquist TFP - 65 -
2010. 10 DEA - Malmquist 1. Malmquist F( xs,ys,xt,yt ) s t s t TFP TFP TFP s t Malmquist TFP s m s o( xs,ys,xt,yt ) = d s o( xt,yt) / d s o( xs,ys) t m t o( xs,ys,xt,yt) = d t o( xt,yt ) / d t o( xs,ys) d s o( xt,yt ) t s Malmquist m0 ( xs, ys,xt,yt ) = [m s o( xs,ys,xt,yt ) m t o( xs,ys xt,yt ) 0. 5 = [ ds o x t y t d s o x s y s dt o x t y t d t o x s y s 0. 5 1 1 m0 ( xs,ys,xt,yt ) = dt o x t y t d s o x s y ds o x t y t s d t o x t y t ds o x s y s d t o x s y s 0. 5 2 Malmquist TFP TECH = d t o( xt,yt ) / d s o( xs,ys) s t t s TCH TCH = 樤 d s o x t y t / d t o x t y t d s o x s y s / d t [ o x s y s 9 s t Malmquist TFP 4 d s o( xt,yt) d s o( xs,ys) d t o( xt,yt),d t o( xs,ys) d s o( xs,ys) 1 d t o( xt,yt ) 1 Malmquist TFP CRS Malmquist TFP Malmquist Malmquist TFP Malmquist TFP Malmquist TFP CRS 2. DEA - Malmquist DEA Malmquist TFP Coelli(1996 ) DEA i 4 TFP [ 10 4 Malmquist TFP : - 66 -
ECONOMIST 2010. 10 m0 ( xt,yt,xt + 1,yt + 1 ) = [ dt o x t + 1 y t + 1 d t o x t y t dt + 1 o x t + 1 y t + 1 d t o + 1 x t y t 0. 5 CRS d t o( xt,yt) [ d t o( xt,yt ) - 1 = max,λ st - yit + Ytλ 0 xit - Xtλ 0 (3) [ d t o + 1 ( xt + 1,yt + 1 ) - 1 = max,λ st - yi,t + 1 + Yt + 1λ 0 xi,t + 1 - Xt + 1λ 0 λ 0 (4) [ d t o( xt + 1,yt + 1 ) - 1 = max,λ st - yi,t + 1 + Ytλ 0 xi,t + 1 - Xtλ 0 λ 0 (5) [ d t o + 1 ( xt,yt ) - 1 = max,λ st - yit + Yt + 1λ 0 xit - Xt + 1λ 0 λ 0 (6) 2003 2008 Malmquist TFP TFP DEA 5 2003 2003 2008 31 1999 2002, - 67 -
2010. 10 2008, 2003 1 DEAP2. 1 Malmquist TFP TECH TCH 2 2 TFP Malmquist TFP 1. 113 TFP 11. 3% 2004 21% 2005 2007 11. 1% 11. 2% 2006 9. 2% 2008 4. 5% 1 5 (1. 298) (1. 263 ) (1. 222 ) (1. 179) (1. 175 ) 27 31 (1. 072 ) (1. 065 ) (1. 065 ) (1. 064) (1. 049 ) 2003 2008 TFP TFP TFP 2004 TFP TFP 2008 TFP TFP ( ) TECH 2003 2008 1. 005 2007 21. 3% 2005 8. 9% 2004 8. 9% 2006 12. 7% 2008 2. 5% 1 5 1. 089 1. 042-68 -
ECONOMIST 2010. 10 1. 042 1. 033 1. 032 27 31 (0. 9830 ) (0. 98 ) (0. 973) (0. 963 ), (0. 959 ) 2006 2005-69 -
2010. 10 ( ) TCH 2003 2008 1. 107 10. 7% TFP 2004 32. 8% 2006 25% 1 5 : (1. 225 ) (1. 225) (1. 222) (1. 191 ) (1. 173 ) 27 31 (1. 082 ) (1. 082) (1. 082 ) (1. 082 ) (1. 082 ) 2004 2006 2004 2006 2004 2002-70 - 2003 2008 DEA - Malmquist 2003 2008 Malmquist TFP 11. 3% 2004 21% 2005 2007 11. 1% 9. 2% 11. 2% 2008 4. 5% TFP TFP TFP TFP TFP 2004 TFP TFP 2008 TFP TFP 0. 5% TFP 10. 7% TFP 2005 2007 2004 2006 2008 2006 2005 10
ECONOMIST 2010. 10 2004 2006 2004 2. 5G 2006 3 3G [ 1 CAVES DW, CHRISTENSEN LR, DIEWERT WE. Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers[ J. The Economic Journal, 1982, 92: 73-86. [2 F RE R, GROSSKOPF S, LOVELL C. Production Frontiers[M. Cambridge University Press, Cambridge, 1994. [3 FUSS M. Productivity Growth in Canadian Telecommunications[ J. Canadian Journal of Economics, 1994, 27 (2 ) 371-392. [ 4 MADDEN G, SAVAGE S J. Telecommunications Productivity, Catch - up and Innovation [ J. Telecommunications Policy, 1999, 23: 65-81. [ 5 CALABRESE A, CAMPISI D, MANCUSO P. Productivity Change in the Telecommunications Industries of 13 OECD Countries[ J. International Journal of Business and Economics, 2002, 1, 209-223. [6 RUSHDI AA. Total Factor Productivity Measures for Telstra [ J. Telecommunicatons Policy, 2000, 24 143-154. [7,. Malmquist [ J., 2008 (4 ) : 54-57. [8. [ J., 2008 (6 ) : 66-77. [9 COELLI T,RAO P D S,O DONNELL CJ, BATTESE GE. An Introduction to Efficiency and Productivity Analysis [ M. 2nd ed. New York: Springer Science + Business Media, 2005. [10 COELLI T J. A Guide to DEAP Version 2. 1: A Data Envelopment Analysis ( Computer ) Program [ R. CEPA working paper 96 / 8, Department of Econometrics, University of New England, Armidale NSW Australia. 1996. ( 2010 06 05 ) - 71 -