The Distribution of the Size of the Maximum Cluster of Points on a Line 论文
1965Journal of the American Statistical Association引用 303
Advanced Combinatorial MathematicsBayesian Methods and Mixture ModelsComputational Geometry and Mesh Generation
摘要
Abstract N points are independently drawn from the uniform distribution on (0, 1). Denote by E(n|N; p), the event: There exists a subinterval of (0, 1) of length p that contains at least n out of the N points. We find the probability, P(n|N; p), of E(n|N; p) for n>N/2 in terms of simple tabulated quantities.