2018
Decoupling Combinatorial Complexity: a Two-Step Approach to Distributions of Runs
Kong Y. Decoupling Combinatorial Complexity: a Two-Step Approach to Distributions of Runs. Methodology And Computing In Applied Probability 2018, 21: 789-803. DOI: 10.1007/s11009-018-9689-1.Peer-Reviewed Original ResearchRun-related distributionsDistribution of runsMultivariate random sequencesCombinatorial complexityFinite Markov chainsMulti-object systemNearest-neighbor interactionsStatistical physicsCombinatorial difficultiesMarkov chainExplicit formRun statisticsNeighbor interactionsMultinomial coefficientsDifferent systematic approachesGeneral frameworkRun distributionRandom sequenceKinds of objectsTwo-step approachCombinatoricsGeneral formulaIndependent stepsComplexityPhysicsJoint distribution of rises, falls, and number of runs in random sequences
Kong Y. Joint distribution of rises, falls, and number of runs in random sequences. Communication In Statistics- Theory And Methods 2018, 48: 493-499. DOI: 10.1080/03610926.2017.1414261.Peer-Reviewed Original Research
2015
Distributions of Runs Revisited
Kong Y. Distributions of Runs Revisited. Communication In Statistics- Theory And Methods 2015, 44: 4663-4678. DOI: 10.1080/03610926.2013.793350.Peer-Reviewed Original Research
2006
Distribution of Runs and Longest Runs
Kong Y. Distribution of Runs and Longest Runs. Journal Of The American Statistical Association 2006, 101: 1253-1263. DOI: 10.1198/016214505000001401.Peer-Reviewed Original ResearchRun statisticsExplicit formulaParticular generating functionsGeneral explicit formulaSimple explicit formulaStatistical mechanicsGeneral methodDistribution of runsExample of applicationGenerating functionNew distributionPartition functionBiological sequence analysisExact distributionLattice modelUnified wayCombinatorial methodsComputational biologySimple formulaBinomial identitiesUse formulasStatisticsFormulaSystematic methodObject systems