Ornstein-Zernike Behaviour And Analyticity Of Shapes For Self-Avoiding Walks On Z^d [PDF]
. 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
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Information Advantages in Hiring under a Budget Constraint: Weak Convergence Comparisons [PDF]
AMS 1991 subject classifications. Primary 60G40, 60G70; secondary 60F05, 60F15, 60G35, 90B50.A Fulbright Grant and National Science Foundation Grant DMS 92 ...
Kertz, Robert P., Boshuizen, Frans A.
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A REMARK ON BAUM-KATZ TYPE THEOREM FOR ϕ-MIXING SEQUENCES OF RANDOM VARIABLES [PDF]
. We present a generalization of the Baum-Katz theorem for ϕ-mixing sequences of random variables with different distributions satisfying some cover condition. AMS Mathematics Subject Classication (2010): 60F15 Key words and phrases: Complete convergence,
Marcin Przystalski
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Behavior of the empirical Wasserstein distance in R^d under moment conditions [PDF]
We 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 and the common ...
Dedecker, Jérôme, Merlevède, Florence
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Small values and functional laws of the iterated logarithm for operator fractional Brownian motion
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
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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Complete convergence for weighted sums of m-widely acceptable random variables under sub-linear expectations [PDF]
Mathematics subject classification (2020): 60F15.In this paper, under the assumption of the existence of Choquet integrals, the complete convergence properties for weighted sums of m-widely acceptable random variables in sub-linear expectation space are ...
Hu, K, Yu, K, Hu, X, Pan, S
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A contraction theorem for Markov chains on general state spaces [PDF]
Let {Xn, n = 0, 1, 2, ...} denote a Markov chain on a general state space and let f be a nonnegative function. The purpose of this paper is to present conditions which will imply that f(Xn) tends to 0 a.s., as n tends to infinity.
Kaijser, Thomas,
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The Csörgo-Révész modulus of non-differentiability of iterated Brownian motion [PDF]
Khoshnevisan and Lewis (1994a) have recently established Lévy's modulus of continuity of iterated Brownian motion. In this note, we obtain the Csörgo-Révész modulus of non-differentiability.Iterated Brownian motion Modulus of non-differentiability 60F15 ...
Hu, Y., Shi, Z.
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Two different kinds of liminfs on the LIL for two-parameter Wiener processes [PDF]
Some probability inequalities are obtained, and some liminf results are established for a two-parameter Wiener process by using these inequalities. The results obtained improve those of Lacey (1989) and get the watershed between the Chung type laws of ...
Zhang, Li-Xin
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