Abstract[0, 1] is partitioned by randomly splitting the longest subinterval, of length L, into two intervals of lengths LV and L(1 − V). V is independent of the past with a fixed distribution on (0, 1) If there are n subintervals and Ln is the length of a randomly chosen subinterval, then P(nLn ∈ dy) ≅ y−1P(K exp(−T0) ∈ dy) where K = E(exp(T0)) and T0 is the first renewal in a stationary renewa process constructed from V
27 pages, 3 figuresThe probability distribution of the longest interval between two zeros of a simpl...
Let X1, X2,... be independent random variables and define . Let partition of into intervals , of any...
We prove limit theorems of an entirely new type for certain long memory regularly varying stationar...
In a recent paper, Neuts, Rauschenberg and Li [10] examined, by computer experimentation, four diffe...
Let SN be the group of permutations of 1; 2; : : : ; N. If 2 SN, we say that (i1); : : : ; (ik) is ...
30 pages, 9 figures, minor revisionsInternational audienceWe consider renewal processes where events...
Interval division has been investigated from the point of view of stopping rules. We pay attention h...
Consider a partition of the real line into intervals by the points of a stationary renewal point pro...
Two processes of random fragmentation of an interval are investigated. For each of them, there is a ...
For n ∈ N, we consider the problem of partitioning the interval [0,n) into k subintervals of positiv...
This paper presents some general formulas for random partitions of a finite set derived by Kingman’s...
AbstractThe problems considered here deal with the distribution of the lengths of the longest monoto...
Given an interval we choose a point in the interval and one of the two subintervals thus obtained in...
The expected value of L_n, the length of the longest increasing subsequence of a random permutation ...
Renewal processes (nondecreasing partial-sum processes) generated by infinitely divisible life times...
27 pages, 3 figuresThe probability distribution of the longest interval between two zeros of a simpl...
Let X1, X2,... be independent random variables and define . Let partition of into intervals , of any...
We prove limit theorems of an entirely new type for certain long memory regularly varying stationar...
In a recent paper, Neuts, Rauschenberg and Li [10] examined, by computer experimentation, four diffe...
Let SN be the group of permutations of 1; 2; : : : ; N. If 2 SN, we say that (i1); : : : ; (ik) is ...
30 pages, 9 figures, minor revisionsInternational audienceWe consider renewal processes where events...
Interval division has been investigated from the point of view of stopping rules. We pay attention h...
Consider a partition of the real line into intervals by the points of a stationary renewal point pro...
Two processes of random fragmentation of an interval are investigated. For each of them, there is a ...
For n ∈ N, we consider the problem of partitioning the interval [0,n) into k subintervals of positiv...
This paper presents some general formulas for random partitions of a finite set derived by Kingman’s...
AbstractThe problems considered here deal with the distribution of the lengths of the longest monoto...
Given an interval we choose a point in the interval and one of the two subintervals thus obtained in...
The expected value of L_n, the length of the longest increasing subsequence of a random permutation ...
Renewal processes (nondecreasing partial-sum processes) generated by infinitely divisible life times...
27 pages, 3 figuresThe probability distribution of the longest interval between two zeros of a simpl...
Let X1, X2,... be independent random variables and define . Let partition of into intervals , of any...
We prove limit theorems of an entirely new type for certain long memory regularly varying stationar...
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