Results 1 to 10 of about 40 (39)

Limit Theorems for Maxima of Heavy-Tailed Terms with Random Dependent Weights [PDF]

open access: yes, 2007
2000 Mathematics Subject Classification: Primary 60F17, 60G52, 60G70 secondary 60E07, 62E20.We study the general case when the weights Wj , j N can be dependent and in particular long-range dependent.
Stoev, Stilian   +2 more
core  

Natural exponential families associated to Pick functions

open access: yes
Pick function, variance function, exponential families, quadratic action, 32E20, 60E07, 60E10, 62E10,
Dhafer Malouche
core   +1 more source

Goodness-of-fit tests for symmetric stable distributions—Empirical characteristic function approach

open access: yes
Stable distributions, Goodness-of-fit tests, Integral equations, Maximum likelihood estimator, 60E07, 62F03,
Akimichi Takemura, Muneya Matsui
core   +1 more source

Maximum likelihood estimators in regression models with infinite variance innovations

open access: yes
60E07, 60P17, 62F12, 62J05, Autoregression, stable distributions, Lévy processes, maximum likelihood estimators,
Svetlozar Rachev, Vygantas Paulaauskas
core   +1 more source

Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments

open access: yes
Random Walks in Cooling Random Environments (RWCRE) is a model of random walks in dynamic random environments where the entire environment is resampled along a fixed sequence of times, called the "cooling sequence", and is kept fixed in between those ...
Da Costa, Conrado   +2 more
core   +1 more source

Ruin Probability With Claims Modeled By A Stationary Ergodic Stable Process

open access: yes, 1999
. For a random walk with negative drift we study the exceedance probability (ruin probability) of a high threshold. The steps of this walk (claim sizes) constitute a stationary ergodic stable process.
Gennady Samorodnitsky   +3 more
core  

The asymptotic behavior of quadratic forms in heavy-tailed strongly dependent random variables

open access: yes
Suppose that Xt = [summation operator][infinity]j=0cjZt-j is a stationary linear sequence with regularly varying cj's and with innovations {Zj} that have infinite variance. Such a sequence can exhibit both high variability and strong dependence.
Kokoszka, Piotr S., Taqqu, Murad S.
core  

A bivariate Lévy process with negative binomial and gamma marginals

open access: yes
The joint distribution of X and N, where N has a geometric distribution and X is the sum of N IID exponential variables (independent of N), is infinitely divisible.
Kozubowski, Tomasz J.   +2 more
core  

Limit theorems in free probability theory II

open access: yesOpen Mathematics, 2008
Chistyakov Gennadii, Götze Friedrich
doaj   +1 more source
Some of the next articles are maybe not open access.

Estimation of the parameters of multivariate stable distributions

Communications in Statistics Part B: Simulation and Computation, 2022
Neelesh S Upadhye
exaly  

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