Add to ORKGThe ideas from Probabilistic Number Theory are useful in the study of measures on partitions of integers. Connection between the Ewens sampling formula in popula-tion genetics and the partitions of an integer generated by random permutations will be discussed. Functional limit theory for partial sum processes induced by Ewens sam-pling formula is reviewed. The results on limit processes with dependent increments are illustrated
We give a criterion for functionals of partitions to converge to a universal limit under a class of ...
The objects of our interest are the so-called A-permutations, which are permutations whose cycle len...
Fbr statistical applications it is necessary to investigate the limit distributions of the functions...
Random partitions, cycle, population genetics, permutations, law of large numbers, probabilistic num...
Abstract. The Ewens sampling formula in population genetics can be viewed as a probability measure o...
A family of measures, on the set of partitions of an integer, known as the Ewens sampling formula ar...
A family of measures on the set of permutations of the first n inte-gers, known as Ewens sampling fo...
In problems of species counts, the interest is more on the number of different species and their rel...
This 1997 work explores the role of probabilistic methods for solving combinatorial problems. These ...
Dirichlet distribution, gamma process We study partition distributions in a population genetics mode...
Discrete functional limit theorems, which give independent process approximations for the joint dist...
Limit theorems are ubiquitous in probability theory. The present work samples contributionsof the au...
The purpose of this article is to present a general method to find limiting laws for some renormaliz...
In the thesis the examining problems of random permutations are attributed to the probabilistic comb...
Sequences of Real Numbers and Functions Introduction Sequences of Real Numbers Sequences of Real Fun...
We give a criterion for functionals of partitions to converge to a universal limit under a class of ...
The objects of our interest are the so-called A-permutations, which are permutations whose cycle len...
Fbr statistical applications it is necessary to investigate the limit distributions of the functions...
Random partitions, cycle, population genetics, permutations, law of large numbers, probabilistic num...
Abstract. The Ewens sampling formula in population genetics can be viewed as a probability measure o...
A family of measures, on the set of partitions of an integer, known as the Ewens sampling formula ar...
A family of measures on the set of permutations of the first n inte-gers, known as Ewens sampling fo...
In problems of species counts, the interest is more on the number of different species and their rel...
This 1997 work explores the role of probabilistic methods for solving combinatorial problems. These ...
Dirichlet distribution, gamma process We study partition distributions in a population genetics mode...
Discrete functional limit theorems, which give independent process approximations for the joint dist...
Limit theorems are ubiquitous in probability theory. The present work samples contributionsof the au...
The purpose of this article is to present a general method to find limiting laws for some renormaliz...
In the thesis the examining problems of random permutations are attributed to the probabilistic comb...
Sequences of Real Numbers and Functions Introduction Sequences of Real Numbers Sequences of Real Fun...
We give a criterion for functionals of partitions to converge to a universal limit under a class of ...
The objects of our interest are the so-called A-permutations, which are permutations whose cycle len...
Fbr statistical applications it is necessary to investigate the limit distributions of the functions...