Sökning: "60F17"

Hittade 2 avhandlingar innehållade ordet 60F17.

  1. 1. A Non-Gaussian Limit Process with Long-Range Dependence

    Författare :Raimundas Gaigalas; Ingemar Kaj; Esko Valkeila; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical statistics; long-range dependence; traffic modelling; arrival process; self-similarity; heavy tails; fractional Brownian motion; stable processes; renewal processes; independently scattered random measure; weak convergence; 60F17; 60G18; 90B18; 60K05 ; Matematisk statistik; Mathematical statistics; Matematisk statistik;

    Sammanfattning : This thesis, consisting of three papers and a summary, studies topics in the theory of stochastic processes related to long-range dependence. Much recent interest in such probabilistic models has its origin in measurements of Internet traffic data, where typical characteristics of long memory have been observed. LÄS MER

  2. 2. Characterisation and Some Statistical Aspects of Univariate and Multivariate Generalised Pareto Distributions

    Författare :Nader Tajvidi; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; generalised Pareto distribution; multivariate extreme value theory; multivariate Pareto distribution; small sample properties; Bartlett s correction; maximum likelihood; statistical computations; simulation AMS 1991 subject classification: 62F11; 62E20; 60F17; 65U05; 62E20;

    Sammanfattning : Extreme value theory is about the distributions of very large or very small values in a time series or stochastic process. This has numerous applications connected with environmental science, civil engineering, materials science and insurance. LÄS MER