Search for dissertations about: "Jolanta Pielaszkiewicz"

Found 2 swedish dissertations containing the words Jolanta Pielaszkiewicz.

  2. 1. Contributions to High–Dimensional Analysis under Kolmogorov Condition

    Author : Jolanta Maria Pielaszkiewicz; Dietrich von Rosen; Martin Singul; Thomas Holgersson; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Eigenvalue distribution; free moments; free Poisson law; Marchenko-Pastur law; random matrices; spectral distribution; Wishart matrix; Mathematics; Matematik;

    Abstract : This thesis is about high–dimensional problems considered under the so{called Kolmogorov condition. Hence, we consider research questions related to random matrices with p rows (corresponding to the parameters) and n columns (corresponding to the sample size), where p > n, assuming that the ratio  converges when the number of parameters and the sample size increase. READ MORE

  4. 2. On the asymptotic spectral distribution of random matrices : closed form solutions using free independence

    Author : Jolanta Maria Pielaszkiewicz; Dietrich von Rosen; Martin Singull; Maciej A. Nowak; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Spectral distribution; R-transform; Stieltjes transform; Free probability; Freeness; Asymptotic freeness;

    Abstract : The spectral distribution function of random matrices is an information-carrying object widely studied within Random matrix theory. In this thesis we combine the results of the theory together with the idea of free independence introduced by Voiculescu (1985). READ MORE