Results 71 to 80 of about 15,383 (104)

Change Point Analysis for Functional Data Using Empirical Characteristic Functionals

Journal of Time Series Analysis, Volume 47, Issue 3, Page 612-631, May 2026.
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth, Gregory Rice, Jeremy VanderDoes   +2 more
wiley   +1 more source

A functional limit theorem for locally perturbed random walks

, 2015
A particle moves randomly over the integer points of the real line. Jumps of the particle outside the membrane (a fixed "locally perturbating set") are i.i.d., have zero mean and finite variance, whereas jumps of the particle from the membrane have other
Iksanov, Alexander, Pilipenko, Andrey
core  

Tests for Changes in Count Time Series Models With Exogenous Covariates

Journal of Time Series Analysis, Volume 47, Issue 3, Page 526-538, May 2026.
ABSTRACT We deal with a parametric change in models for count time series with exogenous covariates specified via the conditional distribution, i.e., with integer generalized autoregressive conditional heteroscedastic models with covariates (INGARCH‐X).
Šárka Hudecová, Marie Hušková
wiley   +1 more source

Nonparametric Detection of a Time‐Varying Mean

Journal of Time Series Analysis, Volume 47, Issue 3, Page 597-611, May 2026.
ABSTRACT We propose a nonparametric portmanteau test for detecting changes in the unconditional mean of a univariate time series which may display either long or short memory. Our approach is designed to have power against, among other things, cases where the mean component of the series displays abrupt level shifts, deterministic trending behaviour ...
Fabrizio Iacone, A. M. Robert Taylor
wiley   +1 more source

Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley   +1 more source

Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
wiley   +1 more source

A proof and an application of the continuous parameter martingale convergence theorem

Research in Statistics, 2023
openaire   +1 more source

Continuous Parameter Martingales

, 1951
openaire   +2 more sources

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Continuous Parameter Martingales

2021
In this chapter some of the main theorems for discrete parameter martingales obtained in previous chapters are extended to continuous parameter martingales. A central point is the use of martingale theory for the regularization of sample paths of stochastic processes.
Rabi Bhattacharya, Edward C. Waymire
openaire   +1 more source

Gaussian processes and martingales for fuzzy valued random variables with continuous parameter

Information Sciences, 2001
The purpose of this paper is to investigate fuzzy-valued Gaussian processes and martingales with continuous parameters. \textit{M. L. Puri} and \textit{D. A. Ralescu} [Ann. Probab. 13, 1373-1379 (1985; Zbl 0583.60011)] gave the first representation theorem for the fuzzy-valued random variables whose level sets are non-empty compact convex sets in ...
Shoumei Li, Yukio Ogura, Hung T. Nguyen 0002   +2 more
openaire   +2 more sources