Add to ORKGA recursion for the joint moments of the external branch lengths for coalescents with multi-ple collisions (Λ-coalescents) is provided. This recursion is used to derive asymptotic results as the sample size n tends to infinity for the joint moments of the external branch lengths and for the moments of the total external branch length of the Bolthausen–Sznitman coalescent. These asymptotic results are based on a differential equation approach, which is as well useful to obtain exact solutions for the joint moments of the external branch lengths for the Bolthausen– Sznitman coalescent. The results for example show that the lengths of two randomly chosen external branches are positively correlated for the Bolthausen–Sznitman coalescent, wherea...
Consider a population model in which there are N individuals in each generation. One can obtain a co...
Konarovskyi V, Limic V. On Moments of Multiplicative Coalescents. 2021.The motivation for this work...
Abstract. In this paper, we study a weak law of large numbers for the total internal length of the B...
A recursion for the joint moments of the external branch lengths for coalescents with multiple colli...
Abstract. In this paper, we consider the Beta(2 − α,α)-coalescents with 1 < α < 2 and study th...
Abstract. In this paper, we consider Beta(2 − α, α) (with 1 < α < 2) and related Λ-coalescents...
We show that the total number of collisions in the exchangeable coalescent process driven by the bet...
In this paper, we consider Beta(2-α,α) (with 1<α<2) and related Λ-coalescents. If T(n) denotes the l...
In this paper we consider the beta(2 − α, α)-coalescents with 1 < α < 2 and study the moments of ext...
We show that the total number of collisions in the exchangeable coalescent process driven by the bet...
In this paper we prove asymptotic normality of the total length of external branches in Kingman's co...
AbstractWe study the total branch length Ln of the Bolthausen–Sznitman coalescent as the sample size...
AbstractConsider a population model in which there are N individuals in each generation. One can obt...
We describe a representation of the Bolthausen-Sznitman coalescent in terms of the cutting of random...
We consider a ${\Lambda}$-coalescent and we study the asymptotic behavior of the total length $L^{(n...
Consider a population model in which there are N individuals in each generation. One can obtain a co...
Konarovskyi V, Limic V. On Moments of Multiplicative Coalescents. 2021.The motivation for this work...
Abstract. In this paper, we study a weak law of large numbers for the total internal length of the B...
A recursion for the joint moments of the external branch lengths for coalescents with multiple colli...
Abstract. In this paper, we consider the Beta(2 − α,α)-coalescents with 1 < α < 2 and study th...
Abstract. In this paper, we consider Beta(2 − α, α) (with 1 < α < 2) and related Λ-coalescents...
We show that the total number of collisions in the exchangeable coalescent process driven by the bet...
In this paper, we consider Beta(2-α,α) (with 1<α<2) and related Λ-coalescents. If T(n) denotes the l...
In this paper we consider the beta(2 − α, α)-coalescents with 1 < α < 2 and study the moments of ext...
We show that the total number of collisions in the exchangeable coalescent process driven by the bet...
In this paper we prove asymptotic normality of the total length of external branches in Kingman's co...
AbstractWe study the total branch length Ln of the Bolthausen–Sznitman coalescent as the sample size...
AbstractConsider a population model in which there are N individuals in each generation. One can obt...
We describe a representation of the Bolthausen-Sznitman coalescent in terms of the cutting of random...
We consider a ${\Lambda}$-coalescent and we study the asymptotic behavior of the total length $L^{(n...
Consider a population model in which there are N individuals in each generation. One can obtain a co...
Konarovskyi V, Limic V. On Moments of Multiplicative Coalescents. 2021.The motivation for this work...
Abstract. In this paper, we study a weak law of large numbers for the total internal length of the B...