Results 51 to 60 of about 177,430,963 (194)

Limit properties for ratios of order statistics from exponentials

Journal of Inequalities and Applications, 2017
In this paper, we study the limit properties of the ratio for order statistics based on samples from an exponential distribution and obtain the expression of the density functions, the existence of the moments, the strong law of large numbers for R n i j
Yong Zhang, Xue Ding
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

On the Law of the Iterated Logarithm

On the Law of the Iterated Logarithm
An analogue of the law of the iterated logarithm for Brownian motion in Banach spaces is proved where the expression [radical sign]2 loglog s is replaced by a positive non-decreasing function satisfying certain conditions.Law of iterated logarithm ...
Wong, H. S. F.
openaire   +2 more sources

A law of the iterated logarithm for iterated random walks, with application to random recursive trees [PDF]

, 2022
Consider a Crump-Mode-Jagers process generated by an increasing random walk whose increments have finite second moment. Let $Y_k(t)$ be the number of individuals in generation $k\in \mathbb N$ born in the time interval $[0,t]$.
Kotelnikova, Valeriya, Kabluchko, Zakhar, Iksanov, Alexander   +2 more
core   +1 more source

Boundary Kernels for Distribution Function Estimation

Revstat Statistical Journal, 2013
Boundary effects for kernel estimators of curves with compact supports are well known in regression and density estimation frameworks. In this paper we address the use of boundary kernels for distribution function estimation.
Carlos Tenreiro
doaj   +1 more source

A law of the iterated logarithm for small counts in Karlin’s occupancy scheme

Modern Stochastics: Theory and Applications
In the Karlin infinite occupancy scheme, balls are thrown independently into an infinite array of boxes $1,2,\dots $ , with probability ${p_{k}}$ of hitting the box k.
Alexander Iksanov, Valeriya Kotelnikova
doaj   +1 more source

Asymptotic Behaviors of the Lorenz Curve for Left Truncated and Dependent Data [PDF]

Journal of Sciences, Islamic Republic of Iran, 2012
The purpose of this paper is to provide some asymptotic results for nonparametric estimator of the Lorenz curve and Lorenz process for the case in which data are assumed to be strong mixing subject to random left truncation.
M. Bolbolian Ghalibaf
doaj  

Some Probability Inequalities for Quadratic Forms of Negatively Dependent Subgaussian Random Variables [PDF]

Journal of Sciences, Islamic Republic of Iran, 2005
In this paper, we obtain the upper exponential bounds for the tail probabilities of the quadratic forms for negatively dependent subgaussian random variables.
doaj  

Precise asymptotics in the law of the iterated logarithm of random fields(随机场重对数律的精确渐近性)

Zhejiang Daxue xuebao. Lixue ban, 2005
设{X,Xk，k ∈ Zd+，X(i),i ≥ 1}是独立同分布的随机变量序列，且EX = 0，对δ>0，E[X2（log log|X|）1+δ]
YUANYu-ze(袁裕泽)
doaj   +1 more source

Some laws of the iterated logarithm in Hilbertian autoregressive models [PDF]

, 2005
We consider the law of the iterated logarithm for the empirical covariance of Hilbertian autoregressive processes. As an application, we obtain laws of the iterated logarithm for the eigenvalues and associated projectors of the empirical ...
Menneteau, Ludovic
core   +1 more source