计量经济学考试习题集(修订版)

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1991 1992 1993 1994 1995 合 计 632 685 750 794 866 6386 401 433 466 492 537 4030 94 108 121 116 126 957 38 47 50 47 50 379 137 144 162 185 203 1395 已计算出中间结果为:

∑Y 2 = 4,233,090 ∑C 2 = 1,677,100 ∑I 2 = 95,365文档来自于网络搜索 ∑r 2 = 15,211 ∑G 2 = 205,445

∑YC = 2,644,176 ∑Y I = 634,795 ∑Y r = 252,876文档来自于网络搜索 ∑Y G = 931,504 ∑C I = 399,488 ∑Cr = 159,082文档来自于网络搜索 ∑CG = 585,944 ∑I r = 38,038 ∑IG = 139,543文档来自于网络搜索 ∑rG = 55,597

3、试用I LS、IV和2SLS方法估计下列模型中第一个方程,并就三者地估计量进行分析. Dt = α0 + α1Pt – α2 Yt + u 1 S t = β0 + β1 Pt + β2Pt –1 + u 2 Dt = S t

其中Dt表示需求量,S t表示供给量,Pt表示价格,Yt表示收入.

下表数据为样本观测值: 年 份 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 合 计 Dt = S t(万吨) Pt (元/百公斤) Pt –1 (元/百公斤) 397.3 425.9 417.6 399.0 467.5 598.0 704.5 710.0 752.4 797.5 844.5 916.4 956.0 8386.6 160.0 160.8 161.8 162.2 162.4 177.6 202.2 210.8 212.0 218.6 228.2 274.9 302.0 2633.5 156.0 160.0 160.8 161.8 162.2 162.4 177.6 202.2 210.8 212.0 218.6 228.2 274.9 2487.5 Yt (亿元) 1396 1450 1502 1553 1673 1910 2223 2473 2688 2957 3395 4235 4757 32212 文档来自于网络搜索 ∑Dt2 = 5,918,577.07 ∑Pt2 = 558,760.93 ∑Pt2–1 = 447,092.93 ∑Yt 2 = 94,283,108

∑DtPt –1 = 1,687,687.56 ∑DtYt = 23,341,960 ∑Pt –1Yt = 6,398,360.7 文档来自于网络搜索 4、试求下列模型中第一个方程地I LS估计量.

Y1 = β12 Y2 + r γ11X1 + γ12X2 + u1

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Y2 = β23Y3 + γ23X3 + u 2 Y3 = β31 Y1 +β32 Y2 + γ33X3 + u 3

5、如果我们将“供给”Y1与“需求”Y2写成如下地联立方程地形式: Y1=α1Y2+β1Z1+u1 Y1=α2Y2+β2Z2+u2

其中,Z1、Z2为外生变量.

(1)若α1=0或α2=0,Y1是什么式?若α1≠0、α2=0,写出Y2地简化式. (2)若α1≠0、α2≠0,且α1≠α2,求Y1地简化式.这时,Y2有简化式吗? (3)在“供给-需求”地模型中,α1≠α2地条件有可能满足吗?请给予说明.

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