Add to ORKGGiven an interval we choose a point in the interval and one of the two subintervals thus obtained in a symmetric random manner. The process is repeated ad infinitum. We study the limiting distribution of the midpoint of the interval.limit laws Mellin transform Fourier transform Tauberian theorems
This is the first of a series of papers treating randomly sampled random processes. Spectral analysi...
Interval division has been investigated from the point of view of stopping rules. We pay attention h...
We consider an interval map which is a generalization of the well-known Gauss transforma-tion. In pa...
Abstract[0, 1] is partitioned by randomly splitting the longest subinterval, of length L, into two i...
In a recent paper, Neuts, Rauschenberg and Li [10] examined, by computer experimentation, four diffe...
Let X1, X2,... be independent random variables and define . Let partition of into intervals , of any...
Two processes of random fragmentation of an interval are investigated. For each of them, there is a ...
Let X1, X2,…, be i.i.d. random variables, which are uniformly distributed on [0,1]. Further let I1(0...
We study the optimal partitioning of a (possibly unbounded) interval of the real line into n subinte...
The well-known relation between random division of an interval and the Poisson process is interprete...
Consider a partition of the real line into intervals by the points of a stationary renewal point pro...
AbstractInterval operators of a function strip obtained by splitting the given Lipschitz matrix A = ...
Consider a recurrent event on the positive integers. Let N(n) denote the number of recurrences up to...
AbstractImagine a stick broken at a random point according to the known distribution function F, the...
The paper deals with the distribution of certain functions of distances between any two points of a ...
This is the first of a series of papers treating randomly sampled random processes. Spectral analysi...
Interval division has been investigated from the point of view of stopping rules. We pay attention h...
We consider an interval map which is a generalization of the well-known Gauss transforma-tion. In pa...
Abstract[0, 1] is partitioned by randomly splitting the longest subinterval, of length L, into two i...
In a recent paper, Neuts, Rauschenberg and Li [10] examined, by computer experimentation, four diffe...
Let X1, X2,... be independent random variables and define . Let partition of into intervals , of any...
Two processes of random fragmentation of an interval are investigated. For each of them, there is a ...
Let X1, X2,…, be i.i.d. random variables, which are uniformly distributed on [0,1]. Further let I1(0...
We study the optimal partitioning of a (possibly unbounded) interval of the real line into n subinte...
The well-known relation between random division of an interval and the Poisson process is interprete...
Consider a partition of the real line into intervals by the points of a stationary renewal point pro...
AbstractInterval operators of a function strip obtained by splitting the given Lipschitz matrix A = ...
Consider a recurrent event on the positive integers. Let N(n) denote the number of recurrences up to...
AbstractImagine a stick broken at a random point according to the known distribution function F, the...
The paper deals with the distribution of certain functions of distances between any two points of a ...
This is the first of a series of papers treating randomly sampled random processes. Spectral analysi...
Interval division has been investigated from the point of view of stopping rules. We pay attention h...
We consider an interval map which is a generalization of the well-known Gauss transforma-tion. In pa...