Results 41 to 50 of about 1,682,384 (202)
A central limit theorem for random dynamical systems
In this article, we establish a central limit theorem (CLT) for random dynamical systems (RDS), which is a supplement to the ergodic theory of random dynamical system.
LYU Kening, ZHENG Yan
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From limit theorems to mixing limit theorems
45 ...
Arana-Herrera, Francisco +1 more
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A simple derivation of a limiting distribution of Logan, Mallows, Rice and Shepp is found. This is the limiting distribution of a sequence of partial sums of independent, identically distributed random variables in the domain of attraction of a stable law, normalized by the partial sums of the absolute values of these variables.
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A limit theorem for singular stochastic differential equations
We study the weak limits of solutions to SDEs \[ dX_{n}(t)=a_{n}\big(X_{n}(t)\big)\hspace{0.1667em}dt+dW(t),\] where the sequence $\{a_{n}\}$ converges in some sense to $(c_{-}\mathbb{1}_{x0})/x+\gamma \delta _{0}$.
Andrey Pilipenko, Yuriy Prykhodko
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Numerical Simulation Experiments Verify the Central Limit Theorem [PDF]
The Central Limit Theorem (CLT) is the cornerstone of probability statistics. However, although its theoretical completeness has been recognized, the convergence trajectory under specific limited samples, especially the numerical performance of the ...
Liu Zhengxiang
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A joint limit theorem for zeta-functions of newforms
In the paper a joint limit theorem for zeta-functions of newforms on the complex plane is proved.
Gintautas Misevičius
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Asymtotical expansions in local limit theorem of large deviations
We continue investigation of the local distribution of multiplicative arithmetic functions from the class M(G). In the present paper the local limit theorem of large deviations with asymptotical expansion of the principal term is obtained.
Rimantas Skrabutėnas
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The central limit theorem is a fundamental theorem of statistics. It prescribes that the sum of a sufficiently large number of independent and identically distributed random variables approximately follows a normal distribution.
Arthur Charpentier
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A two-dimensional limit theorem for Lerch zeta-functions. II
We prove a two-dimensional limit theorem for Lerch zeta-functions with transcendental and rational parameters.
Danutė Regina Genienė
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Tauberian Theorems and the Central Limit Theorem
We prove Tauberian theorems for random walks with positive drift obeying the central limit theorem. The results include (i) conclusions involving certain averages, relevant to number-theoretic densities and extending results of Diaconis and Stein; (ii) pointwise conclusions, including the classical Borel-Tauber theorem and extending results of Schmaal,
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