Stable limits for sums of dependent infinite variance random variables

From MaRDI portal
Publication:718889

DOI10.1007/s00440-010-0276-9zbMath1231.60017arXiv0906.2717OpenAlexW2145511721MaRDI QIDQ718889

Katarzyna Bartkiewicz, Adam Jakubowski, Olivier Wintenberger, Thomas Mikosch

Publication date: 27 September 2011

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2717




Related Items (29)

A large deviations approach to limit theory for heavy-tailed time seriesLarge deviations for solutions to stochastic recurrence equations under Kesten's conditionPrecise large deviations for dependent regularly varying sequencesOn joint weak convergence of partial sum and maxima processesExtreme-value asymptotics for affine random walksConvergence of partial sum processes to stable processes with application for aggregation of branching processesA smoothed \(p\)-value test when there is a nuisance parameter under the alternativeLarge deviations of \(\ell^p\)-blocks of regularly varying time series and applications to cluster inferenceOn the Kesten–Goldie constantRelative stability in strictly stationary random sequencesRandom iteration with place dependent probabilitiesTail estimates for stochastic fixed point equations via nonlinear renewal theoryA Fourier analysis of extreme eventsAsymptotics of stationary solutions of multivariate stochastic recursions with heavy tailed inputs and related limit theoremsNormex, a new method for evaluating the distribution of aggregated heavy tailed risksModeling clusters of extreme valuesA bound in the stable ($\alpha $), $1 < \alpha \le 2$, limit theorem for associated random variables with infinite varianceStable limits for Markov chains via the principle of conditioningA complete convergence theorem for stationary regularly varying multivariate time seriesA note on the normalizing sequences for sums of linear processes in the case of negative memoryThe cluster index of regularly varying sequences with applications to limit theory for functions of multivariate Markov chainsA functional limit theorem for dependent sequences with infinite variance stable limitsTwo-sided bounds for \(L_p\)-norms of combinations of products of independent random variablesHeavy-Tailed Branching Process with ImmigrationUnnamed ItemConvergence to Lévy stable processes under some weak dependence conditionsOn functional limits of short- and long-memory linear processes with GARCH(1,1) noisesTARGETING ESTIMATION OF CCC-GARCH MODELS WITH INFINITE FOURTH MOMENTSA multivariate functional limit theorem in weak \(M_1\) topology



Cites Work


This page was built for publication: Stable limits for sums of dependent infinite variance random variables