第 6 章 参数估计

1、n来衡量的，这表明一个具体的点估计值无法给来衡量的，这表明一个具体的点估计值无法给出估计的可靠性的度量出估计的可靠性的度量.xzx2x12xp22s)1 ,0( Nnxz)(22未知或nszxnzx28.109,44.10192.336.105251096.136.1052nzx105.36x 63.41,37.3713.25 .393677.7645.15 .392nszx77. 7s5 .39x)1(ntnsxtnstx22 .1503, 8 .14762 .1314901677.24131.214902nstx1490 x77.24s) 1 , 0()1 (Nnpznppzp)-1 (2

2、%35.74%,65.55%35. 9%65100%)651%(6596. 1%65)1 (2nppzp11222nsn111122122222nsnnsn3641.39)24() 1(2025. 022n4011.12)24() 1(2975. 0212n39.18083.564011.1221.931253641.3921.9312522均值均值比例比例方差方差大样本大样本小样本小样本大样本大样本2分布分布2已知已知2已知已知Z分布分布2未知未知Z分布分布Z分布分布Z分布分布2未知未知t分布分布2121xx 2121pp 22212221ss) 1 , 0()()(2221212121Nn

3、nxxz222121221)(nnzxx222121221)(nsnszxx861x782x)97.10,03. 5(97. 28332 . 7468 . 596. 1)7886()(22222121221nsnszxx2) 1() 1(212222112nnsnsnsp21221211nnsnsnsppp)2(11)()(21212121nntnnsxxtp21221221112nnsnntxxp5 .321x996.1521s8 .282x358.1922s677.1721212358.19) 112(996.15) 112(2ps56. 37 . 3121121677.170739. 2

4、)8 .285 .32()()()(2221212121vtnsnsxxt222121221)(nsnsvtxx1222221121212222121nnsnnsnsnsv5 .321x996.1521s875.272x014.2322s13188.13188014.2311212996.158014.2312996.15222v433. 4625. 48014.2312996.151604. 2)875.275 .32(nzdd2nsntdd) 1(211101101dniindd53. 61)(12dniidndds67. 4111053. 62622. 211) 1(2nsntdd222

5、111221)1 ()1 (nppnppzpp%32.19,%68. 6%32. 6%13400%)321 (%32500%)451 (%4596. 1%32%45212221222122221FssFss),(1),(1222121nnFnnF5201x26021s4802x28022s505.028026098.12802602221均值差均值差比例差比例差方差比方差比独立大样本独立大样本独立小样本独立小样本匹配样本匹配样本独立大样本独立大样本 1 12 2、 2 22 2已已 1 12 2、 2 22 2未未Z Z分布分布Z Z分布分布 1 12 2、 2 22 2已知已知 1 12 2、 2 22 2未知未知Z Z分布分布 1 12 2= = 2 22 2 1 12 2 2 22 2正态总体正态总体F F分布分布Z Z分布分布t t分布分布t t分布分布t分布分布2222)(EznnzE29704.964002000)96.