《概率论与数理统计》基本名词中英文对照表

1、deterministic phenomenon中文概率论数理统计确定性现象随机现象样本空间随机事件基本事件必然事件不可能事件随机试验互不相容事件频率model 古典概型几何概率条件概率乘法定理贝叶斯公式先验概率后验概率相互独立事件贝努利试验随机变量概率论与数理统计基本名词中英文对照表英文Probability theory mathematical statistics random phenomenon sample space random occurrence fundamental event certain event impossible event random test in

2、compatible events frequencyclassical probabilistic geometric probability conditional probability multiplication theorem Bayess formula Prior probability Posterior probability Independent events Bernoulli trials random variableprobability distributiondistribution functiondiscrete random variabledistr

3、ibution law hypergeometric distribution random sampling modelbinomial distributionPoisson distributiongeometric distributioncontinuous random variableprobability density uniformly distributionexponential distributionnumerical charactermathematical expectationvariancemomentcentral moment概率分布分布函数离散随机变

4、量分布律超几何分布随机抽样模型二项分布泊松分布几何分布概率密度连续随机变量均匀分布指数分布数字特征数学期望差中心矩n-dimensional random variablen-维随机变量two-dimensional random variable 二维离散随机变量joint probability distribution 联合概率分布joint distribution law联合分布律joint distribution function 联合分布函数boundary distribution law 边缘分布律exponential distribution二维指数分布continuo

5、us random variable二维连续随机变量joint probability density联合概率密度boundary probability density边缘概率密度conditionaldistribution条件分布conditionaldistributionlaw条件分布律conditionalprobabilitydensity 条件概率密度协方差dependency coefficient相关系数normal distribution正态分布limit theorem极限定理standard normal distribution标准正态分布logarithmic

6、normal distribution 对数正态分布covariance matrix协方差矩阵central limit theorem中心极限定理Chebyshevs inequality切比雪夫不等式Bernoullis law of largenumbers 贝努利大数定律covariance统计量statisticssimple random sample简单随机样本样本分布函数样本均值sample variance样本方差sample distribution function sample mean样本标准差sample standard deviationsample cova

7、riance样本协方差sample correlation coefficient 样本相关系数order statisticssample mediansample fractilessampling distribution parameter estimation estimatorestimate valueunbiased estimator unbiassednessbiased errormean square error relative efficientminimum varianceasymptotic unbiased uniformly estimator moment method of顺序统计量样本中位数样本极差抽样分布参数估计估计量估计值无偏估计无偏性偏差均方误差相对有效性最小方差estimator 渐近无偏估计量一致性估计量estimation 矩法估计maximum likelihood method of estimation 极大似然估计法likelihood function似然函数极大似然估计值区间估计假设检验maximum likelihood estimator interval estimationhypothesis testingstatistical hypothesis统计假设simple hypot