2023
Nearest Neighbors of Multivariate Runs
Kong Y. Nearest Neighbors of Multivariate Runs. 2023, 1-25. DOI: 10.1007/978-1-4614-8414-1_63-1.Peer-Reviewed Original Research
2018
Generating Function Methods for Run and Scan Statistics
Kong Y. Generating Function Methods for Run and Scan Statistics. 2018, 1-19. DOI: 10.1007/978-1-4614-8414-1_56-1.Peer-Reviewed Original ResearchFinite Markov chainsMulti-object systemNearest-neighbor interactionsStatistical physicsCombinatorial difficultiesGenerating functionMarkov chainExplicit formClassical resultsPattern statisticsNeighbor interactionsCombinatorial complexityFunction methodCombinatorial methodsKinds of objectsDifferent complexityMultiple objectsScan statisticIndividual objectsStatisticsIndependent stepsFirst stepWhole systemComplexityObjects
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