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Geometric brownian motionMartingale representation theoremMartingaleBernoulli processContinuous-time markov chainStochastic processReflection principleExponential distributionDiscrete-time markov chainMarkov processCross-covarianceStationary processStochastic differential equationCox processRight stochastic matrixKolmogorov continuity theoremGaussian processMarkov chainPoisson distributionFractional brownian motionRough pathQuadratic variationDoob decomposition theoremAutocovarianceSymmetric probability distributionProbability integral transformBranching random walkBiased random walk on a graphTransition matrixConditional probabilityConditional expectationStationary ergodic processStopping timeProcess functionBinary entropy functionBranching processConsistent estimatorConditional probability tableFlow-based generative modelEntropy rateStabilityBernoulli distributionContinuous-time random walkPoisson processSupermartingaleCumulative distribution functionStudent's t-distributionRecursive bayesian estimationBeta distributionBifurcation diagramFluctuation theoremProbability-generating functionStochastic driftBinomial distributionJoint probability distributionHyperbolic secant distributionInverse-chi-squared distributionPredictable processProbability density functionLog-normal distributionBayesian networkConditional mutual informationCointegrationCouplingPoisson binomial distributionErgodic processNegative binomial distributionTime-scale calculusProbabilistic turing machineMartingale central limit theoremCompound probability distributionLog-logistic distributionPropagatorDiscrete uniform distributionDetailed balanceDiffusion processProbability distributionDeterminantal point processStochastic simulationTransmission functionLogistic regressionRegular conditional probabilityMarkov kernelInitial conditionContinuous functionLoopBoundary conditionQuantile functionGaussian functionDirac deltaErgodicityJump processStable distributionCovariance functionSubmartingaleRandom variableMean-preserving spreadMarkov random fieldTelegraph processCharacteristic function