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Probability-generating functionExponential familyMultinomial theoremScale parameterGeneralized meanParametric modelNatural exponential familyPower lawGeneralized pareto distributionSpectral densityGenerating function transformationMonotonic functionProbability mass functionFractional fourier transformDiscrete-time fourier transformGenerating functionProbability distributionMathematical statisticsInverse iterationSampling distributionStatisticsStochastic processMultivariate t-distributionEmpirical orthogonal functionsPoisson regressionProbability measureLogitLogit-normal distributionLog-normal distributionTrinomial expansionMultinomial distributionSemiparametric modelProbitExponential dispersion modelStatistical inferenceEstimating equationsPrincipal component regressionStretched exponential functionStatistical shape analysisContinuous uniform distributionFunctional data analysisMultinomial testAnalytic functionFunction applicationFourier analysisDirichlet-multinomial distributionMatrix normal distributionElliptical distributionLinear approximationStatistical modelSimilarity measureGraph fourier transformIndexBinomial theoremShift operatorLogarithmic distributionNormal distributionFunctional calculusMultinomial probitMultidimensional transformReciprocal distributionLinear probability modelAsymptotic distributionBinary functionPower seriesHilbert transformProjectionLog-linear analysisDerivationParametric equationStatistical graphicsData generating processMatrix exponentialDifferential operatorDivisor functionPrime powerCharacteristic functionTime seriesBinary regressionPointwise convergenceFunction compositionProbability distribution fittingBartlett's methodFourier transformTrigonometric integralFamily of setsGamma distributionConvex conjugateAbel's theoremMarginal distributionPolylogarithmic functionSemiparametric regressionLinear interpolationParametric familyDouble exponential functionPolychoric correlationGaussian functionPiecewise linear functionConditional varianceGeometric transformation