6.1-6.2.ppt - 第六章 参数估� 上一讲，我们介绍了总体、样本、 简单随机样本、统计量和抽样分布的概念

# 6.1-6.2.ppt - 第六章 参数估�...

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) 1 . 0 , ( 2 N （假定身高服从正态分布 设这 5 个数是 : 1.65 1.67 1.68 1.78 1.69 估计 1.68 这是 点估计 . 这是 区间估计 . 估计 在区间 [1.57, 1.84] 内， 假如我们要估计某队男生的平均身高 . 现从该总体选取容量为 5 的样本，我 们的任务是要根据选出的样本（ 5 个数）求 出总体均值 的估计 . 而全部信息就由这 5 个数组成 .
6.1 参数的点估计 引例 已知某地区新生婴儿的体重 X ~ ), , ( 2 N , , 2 未知 随机抽查 100 个婴儿 100 个体重数据 10,7,6,6.5,5,5.2, 呢 ? 据此 , 我们应如何估计 而全部信息就由这 100 个数组成 .

, ) ( X E 我们知道 , 服从正态分布 , . ) , ( 2 vX r N 由大数定律 , 1 } | 1 {| lim 1 n i i n X n P 自然想到把样本体重的平均值作为总体平均 体重的一个估计 . 2 2 估计 S 类似地，用样本体重的方差 .

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