Rates of Convergence in the Central Limit Theorem for the Elephant Random Walk with Random Step Sizes
Jérôme Dedecker, Xiequan Fan, Haijuan Hu, Florence Merlevède
Topics & Concepts
Central limit theoremMathematicsRandom walkIndependent and identically distributed random variablesLaw of the iterated logarithmConvergence of random variablesLimit (mathematics)Iterated logarithmGeneralizationRandom variableSequence (biology)Donsker's theoremLogarithmIterated functionConvergence (economics)Discrete mathematicsApplied mathematicsMathematical analysisBrouwer fixed-point theoremStatisticsFixed-point theoremDanskin's theoremEconomic growthGeneticsBiologyEconomicsStochastic processes and statistical mechanicsDiffusion and Search DynamicsRandom Matrices and Applications