《数理统计5-1.ppt

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2016-12-31 发布于北京
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《数理统计5-1.ppt

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第一节大数定律第五章极限定理第一节大数定律第二节中心极限定理一、问题的引入例1：一正常男性成人每毫升的血液中，含白细胞平均数是7300，均方差是700。使用切比雪夫不等式估计每毫升血液中含白细胞数在5200到9400之间的概率。课堂练习：设随机变量X服从参数为的泊松分布，使用切比雪夫不等式证明：课堂练习：三、典型例题四、小结一、问题的引入二、基本定理三、典型例题四、小结 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. 实例:假设电站电网有10000 盏电灯，夜晚每一盏灯开灯的概率都是0.7，而假定开关之间彼此独立，估计夜晚开着的灯数在6800与7200之间的概率。　解法一: 因为，所以于是： Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 契比雪夫不等式证明取连续型随机变量的情况来证明. 切比雪夫不等式契比雪夫 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 得 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. 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. 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. 定理一切比雪夫大数定律 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. 定理一（契比雪夫大数定律的特殊情况）表达式的意义 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 证明由契比雪夫不等式可得并注意到概率不能大于1, 则 Evaluation only. Created with Aspose.Slides for .NET 3.5