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
A class of stochastic processes associated with points randomly distributed in a line of finite exte...
One of the important problems of stochastic process theory is to define the Laplace transforms for t...
For a random permutation of n objects, as n → ∞, the process giving the proportion of elements in th...
The well-known relation between random division of an interval and the Poisson process is interprete...
This paper introduces a split-and-merge transformation of interval partitions which com-bines some f...
The challenges of examining random partitions of space are a significant class of problems in the th...
Consider a partition of the real line into intervals by the points of a stationary renewal point pro...
This paper presents some general formulas for random partitions of a finite set derived by Kingman’s...
A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and appl...
In this article, we shall study the properties of randomly scaled scale-decorated Poisson point proc...
We introduce diffusions on a space of interval partitions of the unit interval that are stationary w...
AbstractLet X be a discrete random variable with parameter λ = E[X] < ∞ and denote B(n,r,a) = (nrnr)...
In a recent paper, Neuts, Rauschenberg and Li [10] examined, by computer experimentation, four diffe...
We consider a Markov chain on the space of (countable) partitions of the interval [0; 1], obtained f...
We generate the fractional Poisson process by subordinating the standard Poisson process to the inve...
A class of stochastic processes associated with points randomly distributed in a line of finite exte...
One of the important problems of stochastic process theory is to define the Laplace transforms for t...
For a random permutation of n objects, as n → ∞, the process giving the proportion of elements in th...
The well-known relation between random division of an interval and the Poisson process is interprete...
This paper introduces a split-and-merge transformation of interval partitions which com-bines some f...
The challenges of examining random partitions of space are a significant class of problems in the th...
Consider a partition of the real line into intervals by the points of a stationary renewal point pro...
This paper presents some general formulas for random partitions of a finite set derived by Kingman’s...
A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and appl...
In this article, we shall study the properties of randomly scaled scale-decorated Poisson point proc...
We introduce diffusions on a space of interval partitions of the unit interval that are stationary w...
AbstractLet X be a discrete random variable with parameter λ = E[X] < ∞ and denote B(n,r,a) = (nrnr)...
In a recent paper, Neuts, Rauschenberg and Li [10] examined, by computer experimentation, four diffe...
We consider a Markov chain on the space of (countable) partitions of the interval [0; 1], obtained f...
We generate the fractional Poisson process by subordinating the standard Poisson process to the inve...
A class of stochastic processes associated with points randomly distributed in a line of finite exte...
One of the important problems of stochastic process theory is to define the Laplace transforms for t...
For a random permutation of n objects, as n → ∞, the process giving the proportion of elements in th...
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