53 citations · 204 across the 23 of their papers we have counts for
4 papers · 1 filter
Normal approximation for mixtures of normal distributions and the evolution of phenotypic traits
Krzysztof Bartoszek, Torkel Erhardsson
An explicit bound is given for the Kolmogorov distance between a mixture of normal distributions and a normal distribution with properly chosen parameter values. A random variable…
Centred quadratic stochastic operators
Krzysztof Bartoszek, Joachim Domsta, Małgorzata Pułka
We study the weak convergence of iterates of so-called centred kernel quadratic stochastic operators. These iterations, in a population evolution setting, describe the additive per…
Prevalence problem in the set of quadratic stochastic operators acting on L1
Krzysztof Bartoszek, Małgorzata Pułka
This paper is devoted to the study of the problem of prevalence in the class of quadratic stochastic operators acting on the L1 space for the uniform topology. We obtain that the s…
Critical case stochastic phylogenetic tree model via the Laplace transform
Krzysztof Bartoszek, Michal Krzeminski
Birth-and-death models are now a common mathematical tool to describe branching patterns observed in real-world phylogenetic trees. Liggett and Schinazi (2009) is one such example.…