(004)(004) (006)(009a,b)(011) Hashmoto and Cohn(1997) Hashmoto and Cohn(1997) FFCQ(Flexble Fxed Cost Quadratc functon) Hashmoto an
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1 *C)
2 (004)(004) (006)(009a,b)(011) Hashmoto and Cohn(1997) Hashmoto and Cohn(1997) FFCQ(Flexble Fxed Cost Quadratc functon) Hashmoto and Cohn(1997) 1
3 Hashmoto and Cohn(1997) Hashmoto and Cohn(1997) FFCQ (009b) (011) Hashmoto and Cohn(1997) nest n multproduct
4 C C p, y ) 1Lm, 1Ln (1) ( C p y m n y 3 p (1) Chrstensen,Jorgenson and Lau(1973) 1 1 ln C a0 a ln y ln p k ln y ln yk l ln k l p ln p l ln y ln p, l 1Lm,, k 1Ln () l l C k k p () S p f C ln p ln y, l 1Lm, 1Ln (3) l l l f S addng-up 3
5 S 1 1Lm (4) (4) (3)m 1 () () 4 Denny and Fuss(1977)separablty C C p L p, y L y ) C( p L p, q( y L y )) C( p L p, ) (5) ( 1 m 1 n 1 m 1 n 1 m Q Q q y L y ) ( 1 n Nelson and Hevert(199) homothetc C C p L p, y L y ) g( p L p ) q( y L y ) (6) ( 1 m 1 n 1 m 1 n 4
6 () (6) Homothetcty () k l C Ap p p Y Y Y (7) S S SS S, S S (8) SS n n n n n () 5
7 ln C ln y a ln ln y p 1 (9) SAL 0 SAL ln ln y p 1 0 (10) 0 a SAL SAL0 SAL a ln y ln p 1 0 (11) Baumol,Panzar and Wllng(198) C y y 0,, 1, Lm (1) (1) (1)() C y y C y y ln y ln p ln y ln p 0 (13) 6
8 SCP SCP ln ln y p ln y ln p 0 (14) C 7
9 () 5 DEP y C ()
10 6 DEP (011) ()(3) 3 () d 1 d d ln C a0 a ln y ln p k ln y ln yk l ln k l p ln p l ln y ln p d d d (, l 1Lm,, k 1Ln) (15) d110 d 10 d d1 d d 3 3 9
11 SUR Seemngly Unrelated Regresson Estmaton 7 DEP) DEP) FFCQ (011) 3 DEP=% 4 DEP=4% 5 DEP=6% 3 4 DEP=4% 10
12 (8) 6 6 DEP=4%
13 5 7 Wald Wald Wald Wald p- (011) 1
14 8 Wald p- 5 Wald p- (011) 8 DEP=
15 (011) (011) (011) (011) (011) 14
16 1 (008) 3(1986) Zellner196) Iteratve Zellner EffcentIZEF 8 15
17 Baumol, W. J., J. C. Panzar, and R. D. Wllg, (198) Contestable Markets and the Theory of Industry Structure, Harcourt Brace Jovanovch. Chrstensen, L. R., D. W. Jorgenson and L. J. Lau, (1973) Transcendental Logarthmc Producton Fronyers, Revew of Economcs and Statstcs, Vol.55, pp Cohn, E., and S. T. Cooper, (004) Mult-product Cost Functons for Unverstes: Economes of Scale and Scope, Internatonal Handbook on the Economcs of Educaton, n Johnes, G., and J. Johnes, eds., Edward Elgar, ch15, pp Cohn, E., S. L. W. Rhne, and M. C. Santos, (1989) Insttutons of Hgher Educaton as Mult-product Frms: Economes of Scale and Scope, Revew of Economcs and Statstcs, Vol.71, pp Denny, M. and M. Fuss, (1977) The Use of Approxmaton Analyss to Test for Separablty and the Exstence of Consstent Aggregate, Amercan Economc Revew, Vol.67, pp Glass, J. C., D. G. Mckllop and N. Hyudman, (1995) Effcency n the Provson of Unversty Teachng and Research: An Emprcal Analyss of UK Unverstes, Journal of Appled Econometrcs, Vol. 10, No. 1, pp Hashmoto, K., and E. Cohn, (1997) Economes of Scale and Scope n Japanese Prvate Unverstes, Educaton Economcs, Vol.5, pp Nelson, R., and K. T. Hevert, (199) Effect of Class Sze on Economes of Scale and Margnal Costs n Hgher Educaton, Appled Economcs, Vol.4, pp Zellner,Arnold,(196)"An effcent method of estmatng seemngly unrelated regresson equatons and tests for aggregaton bas". Journal of the Amercan Statstcal Assocaton 57,pp (008) (009) (011) No40,(
18 ,(1989) J.,(004) 4, pp (004) 8 pp.1-15 (009a) 61 1 pp (009b) 61 pp , R.,(1986)() ((006) ISFJ
19 18
20 y y y C S S S p p p
21 DEP=% t- P [0.000] [0.000] [0.000] [0.03] [0.000] [0.000] [0.350] [0.476] [0.000] [0.576] [0.479] [0.010] [0.000] [0.000] [0.000] [0.001] [0.000] [0.000] [0.000] [0.048] [0.746] [0.000] [0.000] [0.070] Whte 0
22 DEP=4% t- P [0.000] [0.000] [0.000] [0.03] [0.000] [0.000] [0.350] [0.476] [0.000] [0.576] [0.479] [0.010] [0.000] [0.000] [0.000] [0.001] [0.000] [0.000] [0.000] [0.048] [0.746] [0.000] [0.000] [0.070] Whte 1
23 DEP=6% t- P [0.000] [0.000] [0.00] [0.053] [0.000] [0.000] [0.563] [0.30] [0.000] [0.166] [0.8] [0.050] [0.000] [0.000] [0.001] [0.01] [0.000] [0.001] [0.000] [0.009] [0.433] [0.000] [0.016] [0.07] Whte
24 DEP=4% ( ) ( ) ( ) ( ) (0.0514) ( ) (0.048) (0.048) ( ) 3
25 DEP=4% = ( = ( = ( = ( Chsq(4) = 41.53p-value= Chsq(6) = p-value= Chsq(15) = p-value= Chsq( ) ( ) p-value 4
26 DEP=4% (0.000) (0.000) (0.000) (0.000) (0.085) (0.06) (0.15) : Wald p- 5
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