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概率論與數理統計 版權信息
- ISBN:9787121488917
- 條形碼:9787121488917 ; 978-7-121-48891-7
- 裝幀:平塑
- 冊數:暫無
- 重量:暫無
- 所屬分類:>
概率論與數理統計 內容簡介
本書包括隨機事件與概率、一維隨機變量及其分布、多維隨機變量及其分布、隨機變量的數字特征、大數定律及中心極限定理,統計量及其分布、參數估計、假設檢驗等內容。每一章有章節思維導圖,每節后面附有相應的習題及部分考研真題。本書可作為高等學校理工科、經濟類、管理類和其他非數學專業教學用書,也適合數學專業專科的概率論與數理統計課程的教學需要。
概率論與數理統計 目錄
**章 隨機事件與概率···········································································································1
**節 隨機事件及其運算·································································································1
一、隨機試驗與樣本空間 ··································································································1
二、隨機事件 ··················································································································2
三、隨機事件的關系與運算 ······························································································3
習題 1.1 ···························································································································6
第二節 隨機事件的概率 ····································································································7
一、古典概型 ··················································································································8
二、幾何概型 ················································································································10
三、頻率與概率 ·············································································································12
四、概率的公理化定義及其運算性質 ···············································································13
習題 1.2 ·························································································································16
第三節 條件概率與全概率公式·······················································································17
一、條件概率 ················································································································17
二、乘法定理 ················································································································19
三、全概率公式與貝葉斯公式 ·························································································20
習題 1.3 ·························································································································23
第四節 隨機事件的獨立性·······························································································25
習題 1.4 ·························································································································28
第五節 伯努利概型··········································································································29
習題 1.5 ·························································································································32
**章思維導圖··················································································································33
第二章 隨機變量及其概率分布····························································································34
**節 隨機變量的定義 ··································································································34
習題 2.1 ·························································································································36
第二節 離散型隨機變量及其概率分布 ···········································································36
一、兩點分布(0-1 分布) ·································································································37
二、二項分布 ················································································································38
三、泊松分布 ················································································································40
四、超幾何分布 ·············································································································42
概率論與數理統計
6
五、幾何分布 ················································································································44
習題 2.2 ·························································································································45
第三節 隨機變量的分布函數···························································································46
習題 2.3 ·····························································································
**節 隨機事件及其運算·································································································1
一、隨機試驗與樣本空間 ··································································································1
二、隨機事件 ··················································································································2
三、隨機事件的關系與運算 ······························································································3
習題 1.1 ···························································································································6
第二節 隨機事件的概率 ····································································································7
一、古典概型 ··················································································································8
二、幾何概型 ················································································································10
三、頻率與概率 ·············································································································12
四、概率的公理化定義及其運算性質 ···············································································13
習題 1.2 ·························································································································16
第三節 條件概率與全概率公式·······················································································17
一、條件概率 ················································································································17
二、乘法定理 ················································································································19
三、全概率公式與貝葉斯公式 ·························································································20
習題 1.3 ·························································································································23
第四節 隨機事件的獨立性·······························································································25
習題 1.4 ·························································································································28
第五節 伯努利概型··········································································································29
習題 1.5 ·························································································································32
**章思維導圖··················································································································33
第二章 隨機變量及其概率分布····························································································34
**節 隨機變量的定義 ··································································································34
習題 2.1 ·························································································································36
第二節 離散型隨機變量及其概率分布 ···········································································36
一、兩點分布(0-1 分布) ·································································································37
二、二項分布 ················································································································38
三、泊松分布 ················································································································40
四、超幾何分布 ·············································································································42
概率論與數理統計
6
五、幾何分布 ················································································································44
習題 2.2 ·························································································································45
第三節 隨機變量的分布函數···························································································46
習題 2.3 ·····························································································
展開全部
概率論與數理統計 作者簡介
趙軍圣,聊城大學數學科學學院副院長、副教授,山東省大數據教學指導委員會副秘書長,主要研究方向為人工智能與模式識別。
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