Results 311 to 320 of about 19,694 (357)

Chung’s functional law of the iterated logarithm for the Brownian sheet

Frontiers of Mathematics, 2022
Yonghong Liu, Ting Zhang, Yiheng Tang
semanticscholar   +1 more source

The Law of the Iterated Logarithm

1975
In this chapter we shall consider a sequence of independent random variables X n ; n = 1, 2, ... with zero means and finite variances.
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The Law of the Iterated Logarithm

2012
The central limit theorem tells us that suitably normalized sums can be approximated by a normal distribution. Although arbitrarily large values may occur, and will occur, one might try to bound the magnitude in some manner. This is what the law of the iterated logarithm (LIL) does, in that it provides a parabolic bound on how large the oscillations of
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The law of the iterated logarithm for random interval homeomorphisms

Israel Journal of Mathematics, 2021
Klaudiusz Czudek, T. Szarek, Hanna Wojewódka-Ścia̧żko   +2 more
semanticscholar   +1 more source

Quasi Sure Strassen’s Law of the Iterated Logarithm for Increments of FBM in Hölder Norm

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2021
Y. Mo, Q. Liu
semanticscholar   +1 more source

Variants on the Law of the Iterated Logarithm

Bulletin of the London Mathematical Society, 1986
This is a review article surveying the numerous results of recent years related to the classical law of the iterated logarithm with particular reference to developments in the decade or so since the survey in Chapter 5 of the book by \textit{W. Stout}, Almost sure convergence (1974; Zbl 0321.60021).
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The law of the iterated logarithm

2013
For B, a standard BMP, we showed in Sec. (5.9) that wp1 \(\frac{{B\left( t \right)}} {t}\mathop { \to 0}\limits^{wp1}\), as t → ∞, that \(\overline {\mathop {\lim }\limits_{t \to \infty } } \frac{{B(t)}} {{\sqrt t }} = \infty\) and \(\mathop {\underline {\lim } }\limits_{t \to \infty } \frac{{B(t)}} {{\sqrt t }} = - \infty\).
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Bearing fault diagnosis via generalized logarithm sparse regularization

Mechanical Systems and Signal Processing, 2022
Weiguo Huang, Zeshu Song, Juanjuan Shi
exaly  

The law of the iterated logarithm for solutions of stochastic differential equations with random coefficients

Brazilian Journal of Probability and Statistics, 2022
A. Logachov, O. Logachova
semanticscholar   +1 more source

The Law of the Iterated Logarithm and Probabilities of Moderate Deviations of Sums of Dependent Random Variables

Journal of Mathematical Sciences, 2020
V. V. Petrov
semanticscholar   +1 more source