Results 41 to 50 of about 137 (132)

Strong laws for weighted sums of widely orthant dependent random variables and applications

Open Mathematics
In this study, the strong law of large numbers and the convergence rate for weighted sums of non-identically distributed widely orthant dependent random variables are established.
Zhu Yong, Wang Wei, Chen Kan
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Ornstein-Zernike Behaviour And Analyticity Of Shapes For Self-Avoiding Walks On Z^d [PDF]

, 1998
. We derive precise Ornstein-Zernike asymptotics for the decay of the two-point function in any direction of the simple self-avoiding walk on the integer lattice Z d in any dimension d 2 and for any super-critical value of the parameter fi ? fi c (d).
Ioffe, Dmitry, Dmitry Ioffe
core   +1 more source

A new approach to series of independent random variables

Equivalence lemma, independent random variables, series, three series theorem, 60F15,
Ricardo Vélez
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Exponential inequality for negatively associated random variables

Covariance function, Exponential inequality, Negative association, 60F15, 62G20,
H. Nooghabi, H. Azarnoosh
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Asymptotic distribution for products of sums under dependence

Asymptotic distribution, Products of sums, Linear positive quadrant dependence, Linear negative quadrant dependence, 60F05, 60F15,
Jian-Feng Wang, Yun-Xia Li
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Behavior of the empirical Wasserstein distance in R^d under moment conditions

, 2019
International audienceWe establish some deviation inequalities, moment bounds and almost sure results for the Wasserstein distance of order p ∈ [1, ∞) between the empirical measure of independent and identically distributed R d-valued random variables ...
Dedecker, Jérôme, Merlevède, Florence
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Strong law of large numbers for pairwise positive quadrant dependent random variables

Associated random variables, Markov chain, Positive quadrant dependence, Rate of convergence, Stochastic equicontinuity, 60F15,
Alessio Sancetta
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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
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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
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On the Local Time of Anisotropic Random Walk on Z2

We study the local time of the anisotropic random walk on the two-dimensional lattice Z2 , by establishing the exact asymptotic behavior of the N- step return probability to the origin.
Csáki, Endre, Földes, Antónia
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