The well-known relation between random division of an interval and the Poisson process is interpreted as a Laplace transformation. With the use of this interpretation a number of (in part known) results is derived very easily
We show that for $0-\alpha$, the Poisson-Dirichlet distribution with parameter $(\alpha, \theta)$ is...
A partition of a positive integer n is a way of writing it as the sum of positive integers without r...
Abstract[0, 1] is partitioned by randomly splitting the longest subinterval, of length L, into two i...
The well-known relation between random division of an interval and the Poisson process is interprete...
AbstractLet X be a discrete random variable with parameter λ = E[X] < ∞ and denote B(n,r,a) = (nrnr)...
The challenges of examining random partitions of space are a significant class of problems in the th...
We generate the fractional Poisson process by subordinating the standard Poisson process to the inve...
AbstractImagine a stick broken at a random point according to the known distribution function F, the...
This paper presents some general formulas for random partitions of a finite set derived by Kingman’s...
This paper introduces a split-and-merge transformation of interval partitions which com-bines some f...
Consider a partition of the real line into intervals by the points of a stationary renewal point pro...
We introduce diffusions on a space of interval partitions of the unit interval that are stationary w...
It is shown that the asymmetric Laplace distribution uniquely arises as the distribution of both a d...
In a recent paper, Neuts, Rauschenberg and Li [10] examined, by computer experimentation, four diffe...
AbstractA subordinator is a process with independent, stationary, non-negative increments. On the un...
We show that for $0-\alpha$, the Poisson-Dirichlet distribution with parameter $(\alpha, \theta)$ is...
A partition of a positive integer n is a way of writing it as the sum of positive integers without r...
Abstract[0, 1] is partitioned by randomly splitting the longest subinterval, of length L, into two i...
The well-known relation between random division of an interval and the Poisson process is interprete...
AbstractLet X be a discrete random variable with parameter λ = E[X] < ∞ and denote B(n,r,a) = (nrnr)...
The challenges of examining random partitions of space are a significant class of problems in the th...
We generate the fractional Poisson process by subordinating the standard Poisson process to the inve...
AbstractImagine a stick broken at a random point according to the known distribution function F, the...
This paper presents some general formulas for random partitions of a finite set derived by Kingman’s...
This paper introduces a split-and-merge transformation of interval partitions which com-bines some f...
Consider a partition of the real line into intervals by the points of a stationary renewal point pro...
We introduce diffusions on a space of interval partitions of the unit interval that are stationary w...
It is shown that the asymmetric Laplace distribution uniquely arises as the distribution of both a d...
In a recent paper, Neuts, Rauschenberg and Li [10] examined, by computer experimentation, four diffe...
AbstractA subordinator is a process with independent, stationary, non-negative increments. On the un...
We show that for $0-\alpha$, the Poisson-Dirichlet distribution with parameter $(\alpha, \theta)$ is...
A partition of a positive integer n is a way of writing it as the sum of positive integers without r...
Abstract[0, 1] is partitioned by randomly splitting the longest subinterval, of length L, into two i...
DOI
Add to ORKG