Results 231 to 240 of about 8,781 (261)

Asymptotic Independence and Strong Approximation; A Survey

Periodica Mathematica Hungarica, 2000
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IDeC — Convergence independent of error asymptotics

BIT, 1987
The method of iterated defect correction [cf. \textit{R. Frank}, Numer. Math. 25, 409-419 (1976; Zbl 0346.65034) and ibid. 27, 407-420 (1977; Zbl 0366.65034)] is applied to the boundary value problem \(y''(t)=f(t,y(t))\) \(t\in (0,1)\), \(y(0)=A\), \(y(1)=B\), where \(\partial /\partial yf(t,y)\geq 0\), and analyzed for efficient and highly accurate ...
Auzinger, W., Monnet, J. P.
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Maximum Waiting Times are Asymptotically Independent

Combinatorics, Probability and Computing, 1992
For every n consider a subset Hn of the patterns of length n over a fixed finite alphabet. The limit distribution of the waiting time until each element of Hn appears in an infinite sequence of independent, uniformly distributed random letters was determined in an earlier paper. This time we prove that these waiting times are getting independent as n →
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An Asymptotic Independence Theorem for the Number of Matchings in Graphs

Graphs and Combinatorics, 2009
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Elmar Teufl, Stephan G. Wagner
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On the dependency for asymptotically independent estimates

Statistical Inference for Stochastic Processes, 2012
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Withers, Christopher S., Nadarajah, Saralees   +1 more
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New Results on Asymptotic Independence of Random Elements

Journal of Mathematical Sciences, 2022
Two sequences \((X_{n}),(Y_{n})\) of random elements of the same probability space are said to be asymptotic independent if the joint distributions \( P_{(X_{n},Y_{n})}\) approach \(P_{X_{n}}\times P_{Y_{n}}\) in some sense as \( n\rightarrow \infty\). In the paper, the author considers 5 different definitions, and in section 2 he studies relationships/
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Non-singularity and asymptotic independence

Journal of Applied Probability, 1986
A stationary stochastic process must satisfy various requirements to make it a realistic model for a phenomenon in the real world. Some of these requirements are quantitative, such as agreement of distribution or moments. Other, more qualitative requirements deal with the general behavior of the process.
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The Asymptotic Mesh Independence Principle

2015
We present a new asymptotic mesh independence principle of Newton’s method for discretized nonlinear operator equations. Our hypotheses are weaker than in earlier studies such as [1, 9, 10, 11, 12, 13].
George A. Anastassiou, Ioannis K. Argyros   +1 more
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An asymptotic of the distribution of extrema of independent random variables

Lithuanian Mathematical Journal, 1995
Let \(\{X_n,\;n \geq 1\}\) be a sequence of independent random variables being independent of the sequence of positive integer-valued random variables \(\{N_n,\;n \geq 1\}\). Let \(M(n) = \max(X_1, \dots, X_n)\) and \(V(n) = \min(X_1,\dots,X_n)\). Assume that appropriately normalized \(M(n)\) and \(V(n)\), and the sequence \(\{N_n/n\}\) converges ...
Aksomaitis, A., Jokimaitis, A.
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On the asymptotic independence of Dirichlet series

Lithuanian Mathematical Journal, 1999
Es seien \(g_1,\dots,g_r\) \((r>1)\) komplexwertige, auf \(\mathbb{R}\) definierte meßbare Funktionen, und damit werde für \(T>0\) ein Wahrscheinlichkeitsmaß \[ Q_T(A):=(2T)^{-1} \text{mes}\{t\in[-T,T]:\bigl( g_1(t), \dots, g_r(t)\bigr)\in A\}\quad \bigl(A\in\mathbb{B} (\mathbb{C}^r)\bigr) \] definiert, wo \(\text{mes} M\) das Lebesguemaß einer ...
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