Results 1 to 10 of about 30,884 (295)

Stable limits for empirical processes on vapnik-cervonenk is classes of functions [PDF]

, 1991
Alexander' s (1987) central limit theorem for empirical processes on Vapnik-Cervonenkis classes of functions is extended to the case with non-Gaussian stable limits.
Romo, Juan
core  

Convergence of Weighted Linear Process for ρ-Mixing Random Variables

Discrete Dynamics in Nature and Society, 2007
A central limit theorem and a functional central limit theorem are obtained for weighted linear process of ρ-mixing sequences for the Xt=∑i=0∞aiYt−i, where {Yi, 0 ...
Guang-Hui Cai
doaj   +1 more source

On the central limit theorem for unsharp quantum random variables

New Journal of Physics, 2018
We study the weak-convergence properties of random variables generated by unsharp quantum measurements. More precisely, for a sequence of random variables generated by repeated unsharp quantum measurements, we study the limit distribution of relative ...
Aleksandra Dimić, Borivoje Dakić
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Convergence results for multivariate martingales

, 2005
We present a new version of the Central Limit Theorem for multivariate ...
L. Pratelli, Crimaldi, I, Pratelli, Luca, Crimaldi, Irene   +3 more
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Variations of central limit theorems and Stirling numbers of the first kind [PDF]

Discrete Mathematics Letters, 2023
Bernhard Heim, Markus Neuhauser
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Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences

Journal of Inequalities and Applications, 2019
The almost sure local central limit theorem is a general result which contains the almost sure global central limit theorem. Let {Xk,k≥1} $\{X_{k},k\geq 1\}$ be a strictly stationary negatively associated sequence of positive random variables.
Feng Xu, Binhui Wang, Yawen Hou
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Central Limit Theorem for Random “Contractive” Functions on Interval

Annales Mathematicae Silesianae
We use the approach from Czudek and Szarek (see [1]) to prove the central limit theorem for a stationary Markov chain generated by an iterative function system for a family of increasing, injective functions on [0, 1] with “contractive” properties.
Block Maciej, Kacprzak Wiktoria, Falęcki Dorian   +2 more
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A Weak Limit Theorem for Galton-Watson Processes in Varying Environments

Journal of Applied Mathematics, 2014
We extend Donsker’s theorem and the central limit theorem of classical Galton-Watson process to the Galton-Watson processes in varying environment.
Zhenlong Gao, Yanhua Zhang
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Central limit theorems for the integrated squared error of derivative estimators [PDF]

A central limit theorem for the weighted integrated squared error of kernel type estimators of the first two derivatives of a nonparametric regression function is proved by using results for martingale differences and U-statistics.
Birke, Melanie
core  

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
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