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Stationary ergodic processErgodicityEnsemble averageEntropy rateStochastic processErgodic theoryStochastic differential equationAsymptotic equipartition propertyExponential distributionStationary processEmpirical processSteady stateAutoregressive modelHypoexponential distributionAutocovarianceGaussian processDetrended fluctuation analysisStochastic driftConsistent estimatorPoisson processBranching processMartingaleDiscrete-time markov chainAutocorrelationMethod of averagingKolmogorov continuity theoremStochastic volatilityPredictable processAsymptotic distributionStable distributionMarkov processTakens's theoremNormal distributionRandom dynamical systemOseledets theoremMartingale central limit theoremError correction modelStochastic simulationMarginal distributionStochastic calculusStabilityHomoscedasticityExponential dispersion modelPoisson distributionCross-covarianceKolmogorov extension theoremMarkov chainComonotonicityGeometric brownian motionProbability measureCorrelation functionHeteroscedasticityDiffusion processCointegrationLaw of averagesStateLog-normal distributionCountable additivityEmpirical measureDiscrete uniform distributionKolmogorov equationsContinuous mapping theoremSubmartingaleCross-sectional regressionContinuous-time markov chainReflection principleEntropic forceArithmetic meanStationary phase approximationFrequency domainStochastic controlContinuous uniform distributionLaw of large numbersProbability distributionCentral limit theoremMean squareStatistical mechanicsPoisson point processIsochronous signalDetailed balanceStochastic matrixEquipartition theoremCanonical ensembleSelf-similar processRandom variableBibo stabilityEmpirical orthogonal functionsStatistical inferenceAsymmetric laplace distributionEquidistributed sequenceLimit setTime reversibilityPairwise independenceStopping timeQuantum stateResidence timeLikelihood principleMarkov propertyCharacteristic functionBranching random walk