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1《概率论与数理统计》基本名词中英文对照表英文中文Probabilitytheory概率论mathematicalstatistics数理统计deterministicphenomenon确定性现象randomphenomenon随机现象samplespace样本空间randomoccurrence随机事件fundamentalevent基本事件certainevent必然事件impossibleevent不可能事件randomtest随机试验incompatibleevents互不相容事件frequency频率classicalprobabilisticmodel古典概型geometricprobability几何概率conditionalprobability条件概率multiplicationtheorem乘法定理Bayes'sformula贝叶斯公式Priorprobability先验概率Posteriorprobability后验概率Independentevents相互独立事件Bernoullitrials贝努利试验randomvariable随机变量2probabilitydistribution概率分布distributionfunction分布函数discreterandomvariable离散随机变量distributionlaw分布律hypergeometricdistribution超几何分布randomsamplingmodel随机抽样模型binomialdistribution二项分布Poissondistribution泊松分布geometricdistribution几何分布probabilitydensity概率密度continuousrandomvariable连续随机变量uniformlydistribution均匀分布exponentialdistribution指数分布numericalcharacter数字特征mathematicalexpectation数学期望variance方差moment矩centralmoment中心矩n-dimensionalrandomvariablen-维随机变量two-dimensionalrandomvariable二维离散随机变量jointprobabilitydistribution联合概率分布jointdistributionlaw联合分布律jointdistributionfunction联合分布函数boundarydistributionlaw边缘分布律3boundarydistributionfunction边缘分布函数exponentialdistribution二维指数分布continuousrandomvariable二维连续随机变量jointprobabilitydensity联合概率密度boundaryprobabilitydensity边缘概率密度conditionaldistribution条件分布conditionaldistributionlaw条件分布律conditionalprobabilitydensity条件概率密度covariance协方差dependencycoefficient相关系数normaldistribution正态分布limittheorem极限定理standardnormaldistribution标准正态分布logarithmicnormaldistribution对数正态分布covariancematrix协方差矩阵centrallimittheorem中心极限定理Chebyshev'sinequality切比雪夫不等式Bernoulli'slawoflargenumbers贝努利大数定律statistics统计量simplerandomsample简单随机样本sampledistributionfunction样本分布函数samplemean样本均值samplevariance样本方差samplestandarddeviation样本标准差4samplecovariance样本协方差samplecorrelationcoefficient样本相关系数orderstatistics顺序统计量samplemedian样本中位数samplefractiles样本极差samplingdistribution抽样分布parameterestimation参数估计estimator估计量estimatevalue估计值unbiasedestimator无偏估计unbiassedness无偏性biasederror偏差meansquareerror均方误差relativeefficient相对有效性minimumvariance最小方差asymptoticunbiasedestimator渐近无偏估计量uniformlyestimator一致性估计量momentmethodofestimation矩法估计maximumlikelihoodmethodofestimation极大似然估计法likelihoodfunction似然函数maximumlikelihoodestimator极大似然估计值intervalestimation区间估计hypothesistesting假设检验statisticalhypothesis统计假设5simplehypothesis简单假设compositehypothesis复合假设rejectionregion拒绝域acceptancedomain接受域teststatistics检验统计量linearregressionanalysis线性回归分析