Results 21 to 30 of about 1,835 (300)
Sharp Second-Order Pointwise Asymptotics for Lossless Compression with Side Information [PDF]
Entropy, 2020 The problem of determining the best achievable performance of arbitrary lossless compression algorithms is examined, when correlated side information is available at both the encoder and decoder.
Lampros Gavalakis, Ioannis Kontoyiannis
doaj +2 more sources
Probability distributions related to the law of the iterated logarithm. [PDF]
Proc Natl Acad Sci U S A, 1969 Robbins H, Siegmund D.
europepmc +3 more sources
Laws of the iterated logarithm for nonparametric sequential density estimators [PDF]
Journal of Statistical Theory and Applications (JSTA), 2013 In this note, we establish a law of iterated logarithm for a triangular array of a random number of independent random variables and apply it to obtain laws of iterated logarithm for the sequential nonparametric density estimators.
Karima Lagha, Smail Adjabi
doaj +1 more source
The law of iterated logarithm for combinatorial multisets
Lietuvos Matematikos Rinkinys, 2005 There is no abstract.
Jolita Norkūnienė
doaj +3 more sources
The law of iterated logarithm for the Ewens sampling formula
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Jolita Norkūnienė
doaj +3 more sources
The law of iterated logarithm for a class of random variables satisfying Rosenthal type inequality
AIMS Mathematics, 2021 Let $ \{Y_n, n\geq 1\} $ be sequence of random variables with $ EY_n = 0 $ and $ \sup_nE|Y_n|^p < \infty $ for each $ p > 2 $ satisfying Rosenthal type inequality.
Haichao Yu, Yong Zhang
doaj +1 more source
The Other Law of the Iterated Logarithm
The Annals of Probability, 1975 Let $\{X_n\}$ be a sequence of independent, identically distributed random variables with $EX_1 = 0, EX_1^2 = 1$. Define $S_n = X_1 + \cdots + X_n$, and $A_n = \max_{1\leqq k\leqq n} |S_k|$. We prove that $\lim \inf A_n(n/\log \log n)^{-\frac{1}{2}} = \pi/8^{\frac{1}{2}}$ with probability one.
Jain, Naresh C., Pruitt, William E.
openaire +3 more sources
The convergence rate for the laws of logarithms under sub-linear expectations
AIMS Mathematics, 2023 Let $ \{X_n; n\geq1\} $ be a sequence of independent and identically distributed random variables in a sub-linear expectation space $ (\Omega, \mathcal{H}, \hat{\mathbb{E}}) $.
Qunying Wu
doaj +1 more source
The laws of iterated and triple logarithms for extreme values of regenerative processes
Modern Stochastics: Theory and Applications, 2020 We analyze almost sure asymptotic behavior of extreme values of a regenerative process. We show that under certain conditions a properly centered and normalized running maximum of a regenerative process satisfies a law of the iterated logarithm for the ...
Alexander Marynych, Ivan Matsak
doaj +1 more source
Weihrauch-completeness for layerwise computability [PDF]
Logical Methods in Computer Science, 2018 We introduce the notion of being Weihrauch-complete for layerwise computability and provide several natural examples related to complex oscillations, the law of the iterated logarithm and Birkhoff's theorem. We also consider hitting time operators, which
Arno Pauly, Willem Fouché, George Davie
doaj +1 more source