概率论中英文概念对照表

概率论与数理统计
Probability Theory and Mathematical Statistics
第一章概率论的基本概念
Chapter1Introduction of Probability Theory
不确定性indeterminacy
必然现象certain phenomenon
随机现象random phenomenon
试验experiment
结果outcome
频率数frequency number
样本空间sample space
出现次数frequency of occurrence
n维样本空间n-dimensional sample space
样本空间的点point in sample space
随机事件random event/random occurrence
基本事件elementary event
必然事件certain event
不可能事件impossible event
等可能事件equally likely event
事件运算律operational rules of events
事件的包含implication of events
并事件union events
交事件intersection events
互不相容事件、互斥事件mutually exclusive events//incompatible events 互逆的mutually inverse
加法定理addition theorem
古典概率classical probability
古典概率模型classical probabilistic model
几何概率geometric probability
乘法定理product theorem
概率乘法multiplication of probabilities
条件概率conditional probability
全概率公式、全概率定理formula of total probability
贝叶斯公式、逆概率公式Bayes formula
后验概率posterior probability
先验概率prior probability
独立事件independent event
独立随机事件independent random event
独立实验independent experiment
两两独立pairwise independent
两两独立事件pairwise independent events
第二章随机变量及其分布
Chapter2Random V ariables and Distributions
随机变量random variables
离散随机变量discrete random variables
概率分布律law of probability distribution
一维概率分布one-dimension probability distribution
概率分布probability distribution
两点分布two-point distribution
伯努利分布Bernoulli distribution
二项分布/伯努利分布Binomial distribution
超几何分布hyper geometric distribution
三项分布trinomial distribution
多项分布polynomial distribution
泊松分布Poisson distribution
泊松参数Poisson theorem
分布函数distribution function
概率分布函数probability density function
连续随机变量continuous random variable
概率密度probability density
概率密度函数probability density function
概率曲线probability curve
均匀分布uniform distribution
指数分布exponential distribution
指数分布密度函数exponential distribution density function
正态分布、高斯分布normal distribution
标准正态分布standard normal distribution
正态概率密度函数normal probability density function
正态概率曲线normal probability curve
标准正态曲线standard normal curve
柯西分布Cauchy distribution
分布密度density of distribution
第三章多维随机变量及其分布
Chapter3Multivariate Random Variables and Distributions 二维随机变量two-dimensional random variable
联合分布函数joint distribution function
二维离散型随机变量two-dimensional discrete random variable
二维连续型随机变量two-dimensional continuous random variable 联合概率密度joint probability variable
n维随机变量n-dimensional random variable
n维分布函数n-dimensional distribution function
n维概率分布n-dimensional probability distribution
边缘分布marginal distribution
边缘分布函数marginal distribution function
边缘分布律law of marginal distribution
边缘概率密度marginal probability density
二维正态分布two-dimensional normal distribution
二维正态概率密度two-dimensional normal probability density
第四章随机变量的数字特征
Chapter4Numerical Characteristics of Random Variables
数学期望、均值mathematical expectation
期望值expectation value
方差variance
标准差standard deviation
随机变量的方差variance of random variables
均方差mean square deviation
相关关系dependence relation
相关系数correlation coefficient
协方差covariance
协方差矩阵covariance matrix
切比雪夫不等式Chebyshev inequality
第五章大数定律及中心极限定理
Chapter5Law of Large Numbers and Central Limit Theorem
大数定律law of great numbers
切比雪夫定理的特殊形式special form of Chebyshev theorem
依概率收敛convergence in probability
伯努利大数定律Bernoulli law of large numbers
同分布same distribution
列维-林德伯格定理、独立同分布中心极限定理independent Levy-Lindberg theorem 辛钦大数定律Khinchine law of large numbers
利亚普诺夫定理Liapunov theorem
棣莫弗-拉普拉斯定理De Moivre-Laplace theorem。