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[概率论与数理统计第七章参数估计第一节参数估计的意义
参 数 估 计
第一节 参数估计的意义
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一、参数估计的意义
参数估计问题是利用从总体抽样得到的信息来估计总体的某些参数或者参数的某些函数.
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Evaluation only.
Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.
Copyright 2004-2011 Aspose Pty Ltd.
一、参数估计的意义
Evaluation only.
Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.
Copyright 2004-2011 Aspose Pty Ltd.
Evaluation only.
Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.
Copyright 2004-2011 Aspose Pty Ltd.
一、参数估计的意义
(2)另一方面,有时关心的不是总体服从具体分布,而是关注总体的某些数字特征(如均值、方差等)
例如灯泡厂生产过程中收到随机因素干扰,灯泡寿命不尽相同。为评价产品质量,自然提出如何估计这批灯泡的平均寿命(总体均值),以及寿命长短相差(总体方差)等问题。
有时还希望通过数据分析,以一定的可靠性来估计灯泡平均寿命介于某个范围活着不低于某个数值。
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二、参数估计的概念
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二、参数估计的概念
定义1:
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二、参数估计的概念
参数估计问题:知道随机变量(总体)的分布类型,但确切的形式不知道,根据样本来估计总体的参数,这类问题称为参数估计(paramentric estimation)。
参数估计
点估计
区间估计
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