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
2016
The mth longest runs of multivariate random sequences
Kong Y. The mth longest runs of multivariate random sequences. Annals Of The Institute Of Statistical Mathematics 2016, 69: 497-512. DOI: 10.1007/s10463-015-0551-8.Peer-Reviewed Original ResearchMultivariate random sequencesRun-related distributionsRandom sequenceExact formulaJoint distributionK kinds