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Statistical modelEstimation theorySampling distributionParametric modelInferential statisticsStatistical parameterStatistical inferenceProbability distributionNonparametric statisticsMathematical statisticsStatistical physicsProbability distribution fittingRandom effects modelLikelihood functionMarginal distributionLikelihood principleFounders of statisticsCompound probability distributionProbability mass functionMaximum likelihood estimationMixture modelStatistical model specificationScale parameterEstimating equationsDistributionMultinomial testSampling probabilityProbability theoryExplained variationAnalysis of varianceParametric equationInterval estimationApproximate bayesian computationRandom variableNormality testDescriptive statisticsFunctional data analysisSemiparametric modelNonlinear regressionProbability density functionSample spaceParametric familyMultinomial probitPoint estimationPopulation proportionHyperparameterStudentized range distributionLinear regressionDelta methodStatistical shape analysisGeneralized additive modelBayesian hierarchical modelingNormal distributionEmpirical orthogonal functionsDensityPoisson regressionParameter spaceExponential dispersion modelBeta distributionStatistical mechanicsStatisticsCoverage probabilityPoisson point processRandom sample consensusSurvey samplingSimple random sampleLatent variableHypergeometric random variableFixed effects modelEstimation statisticsF distributionEstimatorImportance samplingHypergeometric distributionMonte carlo methodBinomial testSample functionPseudo-random number samplingEmpirical distribution functionStatistical theoryExponential familyMixture distributionPareto distributionCorrelation ratioProbability-generating functionGumbel distributionInterpolationStandard errorBootstrapCharacteristic functionRatio distributionProbability spaceSampleConditional varianceStepwise regressionFrequentist inferenceEffective sample sizeRegressionInverse probability weightingStratified sampling