Results 31 to 40 of about 169,110 (303)

A general form for precise asymptotics for complete convergence under sublinear expectation

AIMS Mathematics, 2022
Let $ \{X_n, n\geq 1\} $ be a sequence of independent and identically distributed random variables in a sublinear expectation $ (\Omega, \mathcal H, {\mathbb {\widehat{E}}}) $ with a capacity $ {\mathbb V} $ under $ {\mathbb {\widehat{E}}} $.
Xue Ding
doaj   +1 more source

Complete convergence and complete moment convergence for weighted sums of m-NA random variables [PDF]

Journal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Yongfeng, Hu, Tien-Chung, Volodin, Andrei   +2 more
openaire   +2 more sources

Complete convergence for weighted sums of arrays of random elements

International Journal of Mathematics and Mathematical Sciences, 1983
Let {Xnk:k,n=1,2,…} be an array of row-wise independent random elements in a separable Banach space. Let {ank:k,n=1,2,…} be an array of real numbers such that ∑k=1∞|ank|≤1 and ∑n=1∞exp(−α/An)
Robert Lee Taylor
doaj   +1 more source

Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectations

AIMS Mathematics, 2022
In this paper, we establish the complete convergence and complete integral convergence of partial sums for moving average process based on independent random variables under the sub-linear expectations.
Xiaocong Chen, Qunying Wu
doaj   +1 more source

Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space

Journal of Inequalities and Applications, 2018
In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al.
Xiang Huang, Yongfeng Wu
doaj   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

On complete convergence for randomly indexed sums for a case without identical distributions

International Journal of Mathematics and Mathematical Sciences, 1997
In this note we extend the complete convergence for randomly indexed sums given by Klesov (1989) to nonidentical distributed random variables.
Anna Kuczmaszewska, Dominik Szynal
doaj   +1 more source

Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space

Open Mathematics, 2023
In this work, the authors study some convergence results including weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for weighted sums of coordinatewise asymptotically negatively associated ...
He Qihui, Pan Lin
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The Marcinkiewicz–Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences under Sublinear Expectation

Mathematics, 2023
In this paper we study the Marcinkiewicz–Zygmund-type strong law of large numbers with general normalizing sequences under sublinear expectation. Specifically, we establish complete convergence in the Marcinkiewicz–Zygmund-type strong law of large ...
Shuxia Guo, Zhe Meng
doaj   +1 more source

Uniform order-convergence for complete lattices [PDF]

Proceedings of the American Mathematical Society, 1984
We introduce a purely lattice-theoretical definition of uniform order-convergence of a net of functions with values in a complete lattice. We will show that for completely distributive lattices the uniform order-convergence is induced by a uniformity.
openaire   +1 more source