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| 內容簡介： |
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本书包括随机事件与概率、一维随机变量及其分布、多维随机变量及其分布、随机变量的数字特征、大数定律及中心极限定理，统计量及其分布、参数估计、假设检验等内容。每一章有章节思维导图，每节后面附有相应的习题及部分考研真题。本书可作为高等学校理工科、经济类、管理类和其他非数学专业教学用书，也适合数学专业专科的概率论与数理统计课程的教学需要。
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| 關於作者： |
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赵军圣，聊城大学数学科学学院副院长、副教授，山东省大数据教学指导委员会副秘书长，主要研究方向为人工智能与模式识别。
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| 目錄：
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第一章 随机事件与概率···········································································································1
第一节 随机事件及其运算·································································································1
一、随机试验与样本空间 ··································································································1
二、随机事件 ··················································································································2
三、随机事件的关系与运算 ······························································································3
习题 1.1 ···························································································································6
第二节 随机事件的概率 ····································································································7
一、古典概型 ··················································································································8
二、几何概型 ················································································································10
三、频率与概率 ·············································································································12
四、概率的公理化定义及其运算性质 ···············································································13
习题 1.2 ·························································································································16
第三节 条件概率与全概率公式·······················································································17
一、条件概率 ················································································································17
二、乘法定理 ················································································································19
三、全概率公式与贝叶斯公式 ·························································································20
习题 1.3 ·························································································································23
第四节 随机事件的独立性·······························································································25
习题 1.4 ·························································································································28
第五节 伯努利概型··········································································································29
习题 1.5 ·························································································································32
第一章思维导图··················································································································33
第二章 随机变量及其概率分布····························································································34
第一节 随机变量的定义 ··································································································34
习题 2.1 ·························································································································36
第二节 离散型随机变量及其概率分布 ···········································································36
一、两点分布(0-1 分布) ·································································································37
二、二项分布 ················································································································38
三、泊松分布 ················································································································40
四、超几何分布 ·············································································································42
概率论与数理统计
6
五、几何分布 ················································································································44
习题 2.2 ·························································································································45
第三节 随机变量的分布函数···························································································46
习题 2.3 ·····························································································
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