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內容簡介

　　《概率論》以英文的形式介紹瞭高等學校概率論方麵的知識。The subject matter of probability theory is the mathematical analysis of random events， that is, of those empirical phenomena which do not have deterministic regularity but possess some statistical regularity.

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目錄

chapter 1 events and probabilities
1.1 random phenomena and statistical regularity
1.1.1 random phenomena
1.1.2 the statistical definition of probability
1.2 classical probability models
1.2.1 sample points and sample spaces
1.2.2 classical probability models
1.2.3 geometric probability models
1.3 the axiomatic definition of probability
1.3.1 events
1.3.2 probability space
1.3.3 continuity of probability measure
1.4 conditional probability and independent events
1.4.1 conditional probability
1.4.2 total probability formula and bayes’rule
1.4.3 independent events

chapter 2 random variables and distribution functions
2.1 discrete random variables
2.1.1 the concept of random variables
2.1.2 discrete random variables
2.2 distribution functions and continuous random variables
2.2.1 distribution functions
2.2.2 continuous random variables and density functions
2.2.3 typical continuous random variables
2.3 random vectors
2.3.1 discrete random vectors
2.3.2 joint distribution functions
2.3.3 continuous random vectors
2.4 conditional distributions and independence
2.4.1 conditional distributions
2.4.2 i ndependence of random variables
2.5 functions of random variables
2.5.1 functions of discrete random variables
2.5.2 functions of continuous random variables
2.5.3 functions of continuous random vectors
2.5.4 transforms of random vectors
2.5.5 important distributions in statistics

chapter 3 numerical characteristics and characteristic functions
3.1 mathematical expectations
3.1.1 expectations for discrete random variables
3.1.2 expectations of continuous random variables
chapter 4 probability limit theorems
appendix a distribution of typical random variables
appendix b tables
index

前言/序言

The subject matter of probability theory is the mathematical analysis of random events
概率論 [Probability Theory] 下載 mobi epub pdf txt 電子書

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立事件。且A和B的此一關係為對稱的，這可以由一同價敘述：“，當A和B為獨立事件時。”中看齣。機率論中的兩個重要概念為隨機變量和隨機變量之機率分布這兩種概念。 作為數學統計基礎的概率論的創始人分彆是法國數學傢帕斯卡和費馬。

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(當P(B)不等於零時)。若B給之A的條件機率和A的機率相同時，則稱A和B為獨

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數學傢和精算師認為機率是在0至1之間之閉區間的數字，指定給一發生與失敗是隨機的“事件”。機率P(A)根據機率公理來指定給事件A。一事件A在一事件B確定發生後會發生的機率稱為B給之A的條件機率；其數值為

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概率

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概率論是一門研究事情發生的可能性的學問，但是最初概率論的起源與賭博問題

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概率論

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其他對概率論的發展作齣重要貢獻的人還有荷蘭物理、數學傢惠更斯，瑞士物理、數學傢伯努利，法國數學傢美弗，法國數學、天文學傢拉普拉斯，德國數學傢高斯，法國物理、數學傢泊鬆，意大利數學、醫學傢卡爾達諾以及蘇聯數學傢柯爾莫哥洛夫。

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