Moderate Deviation Principles for Lacunary Trigonometric Sums
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley +1 more source
A second-order dynamical system for solving inverse quasi-variational inequalities and its application. [PDF]
Gan T, Khan VK, Ahmad MK, Cai QB.
europepmc +1 more source
Gradual Changes in Functional Time Series
ABSTRACT We consider the problem of detecting gradual changes in the sequence of mean functions from a not necessarily stationary functional time series. Our approach is based on the maximum deviation (calculated over a given time interval) between a benchmark function and the mean functions at different time points.
Patrick Bastian, Holger Dette
wiley +1 more source
Stability analysis of discrete delta fractional models under summation multipoint constraints for robust engineering systems. [PDF]
Mohammed PO +4 more
europepmc +1 more source
Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
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 +2 more
wiley +1 more source
HasLoss: a novel Hassanat distance-based loss functions for binary classification. [PDF]
Tarawneh AS.
europepmc +1 more source
Nonparametric Detection of a Time‐Varying Mean
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
Evolution's hidden architecture: a non-lipschitz theory of creation and catastrophe. [PDF]
Durán-Olivencia MA.
europepmc +1 more source
S2‐PepAnalyst: A Web Tool for Predicting Plant Small Signalling Peptides
ABSTRACT Small signalling peptides (SSPs) serve as crucial mediators of cell‐to‐cell communication in plants, orchestrating diverse physiological processes from development to stress responses. While recent advances in sequencing technologies have improved genome annotation, the identification of novel SSPs remains challenging due to their small size ...
Kelly L. Vomo‐Donfack +5 more
wiley +1 more source
Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation. [PDF]
Mobayen S +4 more
europepmc +1 more source

