[图书][B] Heavy-tailed time series

R Kulik, P Soulier - 2020 - Springer
This book is concerned with extreme value theory for stochastic processes whose finite-
dimensional distributions are heavy-tailed in the restrictive sense of regular variation. These …

Complete moment convergence for the dependent linear processes with random coefficients

SM Hosseini, A Nezakati - Acta Mathematica Sinica, English Series, 2019 - Springer
In this paper, we investigate the complete moment convergence for dependent linear
processes with random coefficients to form X_t= ∑ j=-∞^ ∞ A_j ε _ tj X t=∑ j=−∞∞ A j ε t− j …

Convergence of asymptotically almost negatively associated random variables with random coefficients

B Meng, D Wang, Q Wu - Communications in Statistics-Theory and …, 2023 - Taylor & Francis
In this paper, we investigate the complete convergence and complete moment convergence
of asymptotically almost negatively associated random variables with random coefficients …

[HTML][HTML] Topological crackle of heavy-tailed moving average processes

T Owada - Stochastic Processes and their Applications, 2019 - Elsevier
The main focus of this paper is topological crackle, the layered structure of annuli formed by
heavy-tailed random points in R d. In view of extreme value theory, we study the topological …

Maxima of linear processes with heavy‐tailed innovations and random coefficients

D Krizmanić - Journal of time series analysis, 2022 - Wiley Online Library
We investigate maxima of linear processes with iid heavy‐tailed innovations and random
coefficients. Using the point process approach we derive functional convergence of the …

Functional convergence for moving averages with heavy tails and random coefficients

D Krizmanić - arXiv preprint arXiv:1808.07023, 2018 - arxiv.org
We study functional convergence of sums of moving averages with random coefficients and
heavy-tailed innovations. Under some standard moment conditions and the assumption that …

Convergence rates in the law of large numbers for END linear processes with random coefficients

SM Hosseini, A Nezakati - Communications in Statistics-Theory …, 2020 - Taylor & Francis
Full article: Convergence rates in the law of large numbers for END linear processes with
random coefficients Skip to Main Content Taylor and Francis Online homepage Taylor and …

A functional limit theorem for moving averages with weakly dependent heavy-tailed innovations

D Krizmanić - Brazilian Journal of Probability and Statistics, 2022 - projecteuclid.org
Recently a functional limit theorem for sums of moving averages with random coefficients
and iid heavy tailed innovations has been obtained under the assumption that all partial …

Convergence of point processes with weakly dependent points

RM Balan, S Louhichi - Journal of Theoretical Probability, 2009 - Springer
For each n≥ 1, let X j, n 1≤ j≤ n be a sequence of strictly stationary random variables. In
this article, we give some asymptotic weak dependence conditions for the convergence in …

A functional limit theorem for self-normalized linear processes with random coefficients and iid heavy-tailed innovations

D Krizmanić - Lithuanian Mathematical Journal, 2023 - croris.hr
Sažetak In this article we derive a self-normalized functional limit theorem for strictly
stationary linear processes with iid heavy-tailed innovations and random coefficients under …