Results 281 to 290 of about 27,799 (321)
Some of the next articles are maybe not open access.
On the law of the iterated logarithm. I
Indagationes Mathematicae (Proceedings), 1955Die Verff. beweisen den folgenden Satz: Es sei \(n_1 < n_2 < \cdots\) eine unendliche Folge von positiven Zahlen mit \(n_{\nu+1}/n_\nu \geq q>1 \; (\nu =1,2,...)\). Für fast alle reellen \(x\) ist dann \(\limsup_{N \to \infty} (N \log\log N )^{-1/2} \left|\sum_{\nu=1}^N \exp 2 \pi i n_\nu x \right| =1\).
Erdős, Pál, Gál, István Sándor
openaire +2 more sources
The law of iterated logarithm for logarithmic combinatorial assemblies
Lithuanian Mathematical Journal, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
A new law of iterated logarithm
Acta Mathematica Hungarica, 1990The authors study the limit behaviour as \(t\to \infty\) of the process \[ \xi(t)=\sup \{s :\;e\leq s\leq t,\quad W(s)\geq (2s \log \log s)^{1/2}\}, \] where \(W(t)\) is a Wiener process. The main result is the following Theorem: \[ \liminf_{t\to \infty}[\frac{\log \log t)^{1/2}}{(\log \log \log t)\cdot \log t}]\log \frac{\xi (t)}{t}=-C\quad a.s ...
Erdős, Paul, Révész, P.
openaire +1 more source
The Limit Law of the Iterated Logarithm
Journal of Theoretical Probability, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Law of Iterated Logarithm for Parabolic SPDEs
1999We prove a version of Strassen’s functional law of iterated logarithm for a family of parabolic SPDEs. The lack of scaling due to the Green function makes it impossible to reduce the proof to the comparison of one single process at several times.
Millet, Annie, Chenal, Fabien
openaire +2 more sources
Parameter-Dependent Law of the Iterated Logarithm
Theory of Probability & Its Applications, 1988See the review in Zbl 0623.60043.
openaire +2 more sources
On the Law of the Iterated Logarithm
The Annals of Mathematics, 1942Not ...
openaire +2 more sources
2014
For sums of independent random variables we already know two limit theorems: the law of large numbers and the central limit theorem. The law of large numbers describes for large \(n\in \mathbb{N}\) the typical behavior, or average value behavior, of sums of n random variables.
openaire +1 more source
For sums of independent random variables we already know two limit theorems: the law of large numbers and the central limit theorem. The law of large numbers describes for large \(n\in \mathbb{N}\) the typical behavior, or average value behavior, of sums of n random variables.
openaire +1 more source
Bearing fault diagnosis via generalized logarithm sparse regularization
Mechanical Systems and Signal Processing, 2022Weiguo Huang, Zeshu Song, Juanjuan Shi
exaly
The Law of the Iterated Logarithm
2014The first law of the iterated logarithm is proved for symmetric Bernoulli random variables, that is, for independent ...
openaire +1 more source