高齢化の経済分析.pdf
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32 Appendix 3 (1Multinomial Logit Model( (1996,Amemiya( i Y i = 0 Y i = 1 Y i = 2 U, U, U iy i = 0 U U, U U i 0 i1 i 0 i2 iiy i = 1 U > U, U U i1 i0 i1 i2 iiiy i = 2 U > U, U > U i2 i0 i2 i1 i j Uij = µ + ε ij ij µ ij εij Multinomial Logit Model ε I ( ij U > > i 2 Ui1, Ui2 Ui0 I exp( (exp( z P(Y = 2 = P(U > U, U > U i = ( ε + µ - = f ( ε - = exp i 2 j = 0 i2 ( ε exp ( µ = i 2 i2 exp ( µ 1j = 2 exp ( µ µ + µ µ i 1 > ε µ exp [ exp ( ε exp [ exp ( ε i2 { i 2 i1 1j i 0 2 exp ( µ j = 0 ij µ i 0 ε ij i 21 i2 i 1 i 1 f ( ε i2 i0, ε i1 i 2 dε i2 µ + µ + µ µ µ > ε ] exp [ exp ( ε i2 i 1 }{ i 2 i0 ε + µ i 2 i 0 i 2 ] dε i2 i 1 i 0 f ( ε i2 i 0 i0 dε µ i 0 i2 i1 } dε + µ i2 i 2 i1 ] 110
33 β ' µ i2 µ i0 = xi2βj, µ i1 µ i0 = xi 1 ' exp xi 1β1 P Y i = 2= (1 ' ' 1+ exp x β + exp x β i1 1 j i2 2 P Y i 1 = 0= (2 ' ' 1+ exp x β + exp x β i1 1 i2 2 xij i (j=0 j(0 βj Multinomial Logit Model L ( β1, β2 = Yi= 0 Pi 0 Yi = 1 Pi 0 Yi= 2 Pi 2 β1 β 2 (1 P1 X i P1 X 1 i 2 = Pβ 1 = Pβ j= 0 2 j = 0 P β ij P β ij j j β, β 1 2 P1 P1, X (2Bivariate Probit Model (Greene(1997 X i1 i 2 * * y = x β + ε, y = 1 if y > y 0, * = x β + ε, y = 1 if y 0, * >
34 Eε = Eε 0 = 1 2 Varε = Varε = Covε 1, ε 2 = ρ 112
橡同居選択における所得の影響(DP原稿).PDF
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