Results 71 to 80 of about 26,394 (176)

Chover-Type Laws of the Iterated Logarithm for Kesten-Spitzer Random Walks in Random Sceneries Belonging to the Domain of Stable Attraction

Discrete Dynamics in Nature and Society, 2018
Let X={Xi,i≥1} be a sequence of real valued random variables, S0=0 and Sk=∑i=1kXi  (k≥1). Let σ={σ(x),x∈Z} be a sequence of real valued random variables which are independent of X’s.
Wensheng Wang, Anwei Zhu
doaj   +1 more source

A Nonlinear Dynamical View of Kleiber's Law on the Metabolism of Plants and Animals. [PDF]

Entropy (Basel), 2023
Camacho-Vidales LJ, Robledo A.
europepmc   +1 more source

On the Law of the Iterated Logarithm

The Annals of Probability, 1974
A triumvirate of sufficient conditions is given for unbounded, independent random variables to obey the Law of the Iterated Logarithm (LIL). As special cases, new results for weighted i.i.d. random variables and the Hartman-Wintner theorem are obtained.
openaire   +3 more sources

Gamma Kernel Estimators for Density and Hazard Rate of Right-Censored Data

Journal of Probability and Statistics, 2011
The nonparametric estimation for the density and hazard rate functions for right-censored data using the kernel smoothing techniques is considered. The “classical” fixed symmetric kernel type estimator of these functions performs well in the interior ...
T. Bouezmarni, A. El Ghouch, M. Mesfioui
doaj   +1 more source

Attitude Determination System for a Cubesat Experiencing Eclipse. [PDF]

Sensors (Basel), 2023
Mmopelwa K, Ramodimo TT, Matsebe O, Basutli B.   +3 more
europepmc   +1 more source

Sample Paths of the Solution to the Fractional-colored Stochastic Heat Equation

, 2015
Let u = {u(t, x), t $\in$ [0, T ], x $\in$ R d } be the solution to the linear stochastic heat equation driven by a fractional noise in time with correlated spatial structure. We study various path properties of the process u with respect to the time and
Tudor, Ciprian A., Xiao, Yimin
core  

The Law of the Iterated Logarithm for the Error Distribution Estimator in First-Order Autoregressive Models

Axioms
This paper investigates the asymptotic behavior of kernel-based estimators for the error distribution in a first-order autoregressive model with dependent errors. The model assumes that the error terms form an α-mixing sequence with an unknown cumulative
Bing Wang, Yi Jin, Lina Wang, Xiaoping Shi, Wenzhi Yang   +4 more
doaj   +1 more source

Small values and functional laws of the iterated logarithm for operator fractional Brownian motion

Open Mathematics
The multivariate Gaussian random fields with matrix-based scaling laws are widely used for inference in statistics and many applied areas. In such contexts, interests are often Hölder regularities of spatial surfaces in any given direction.
Wang Wensheng, Dong Jingshuang
doaj   +1 more source

The Law of the Iterated Logarithm for L_p-Norms of Kernel Estimators of Cumulative Distribution Functions

Mathematics
In this paper, we consider the strong convergence of Lp-norms (p≥1) of a kernel estimator of a cumulative distribution function (CDF). Under some mild conditions, the law of the iterated logarithm (LIL) for the Lp-norms of empirical processes is extended
Fuxia Cheng
doaj   +1 more source

Limit theorems for random Dirichlet series: boundary case

Modern Stochastics: Theory and Applications
Buraczewski et al. (2023) proved a functional limit theorem (FLT) and a law of the iterated logarithm (LIL) for a random Dirichlet series ${\textstyle\sum _{k\ge 2}}\frac{{(\log k)^{\alpha }}}{{k^{1/2+s}}}{\eta _{k}}$ as $s\to 0+$, where $\alpha \gt -1/2$
Alexander Iksanov, Ruslan Kostohryz
doaj   +1 more source