On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations [PDF]
In this article, we research some conditions for strong law of large numbers (SLLNs) for weighted sums of extended negatively dependent (END) random variables under sublinear expectation space.
Xiaochen Ma, Qunying Wu
doaj +2 more sources
A strong law of large numbers for independent compactly uniformly integrable random sets [PDF]
PurposeThe aim of this work is to prove a strong law of large numbers for a sequence of independent compactly uniformly integrable random sets with values in the family of convex closed subsets of a separable Banach space E, again without requiring any ...
Mohammed El Allali +2 more
doaj +3 more sources
A Strong Law of Large Numbers for Random Sets in Fuzzy Banach Space [PDF]
The main purpose of this paper is to consider the strong law of large numbers for random sets in fuzzy metric space. Since many years ago, limited theorems have been expressed and proved for fuzzy random variables, but despite the uncertainty in fuzzy ...
R. Ghasemi, A. Nezakati, M. R. Rabiei
doaj +2 more sources
Strong Laws of Large Numbers for š¹-Valued Random Fields [PDF]
We extend to random fields case, the results of Woyczynski, who proved Brunk's type strong law of large numbers (SLLNs) for š¹-valued random vectors under geometric assumptions.
Zbigniew A. Lagodowski
doaj +2 more sources
A Strong Law of Large Numbers for Super-stable Processes. [PDF]
Let ā be Lebesgue measure and X=(Xt,tā„0;Pμ) be a supercritical, super-stable process corresponding to the operator ā(āĪ)α/2u+βuāĪ·u2 on Rd with constants β,Ī·>0 and αā(0,2]. Put View the MathML source, which for each smallĪø is an a.s. convergent complex-
Kouritzin, Michael, Ren, Y.-X.
core +2 more sources
Uniform strong law of large numbers for random signed measures [PDF]
We prove a strong law of large numbers for random signed measures on Euclidean space that holds uniformly over a family of arguments (sets) scaled by diagonal matrices.
Klesov, Oleg I. +3 more
core +1 more source
Strong laws of large numbers for general random variables in sublinear expectation spaces
In this paper, we obtain the equivalent relations between Kolmogorov maximal inequality and HĆ”jekāRĆ©nyi maximal inequality both in moment and capacity types in sublinear expectation spaces.
Weihuan Huang, Panyu Wu
doaj +1 more source
Further Spitzerās law for widely orthant dependent random variables
The Spitzerās law is obtained for the maximum partial sums of widely orthant dependent random variables under more optimal moment conditions.
Pingyan Chen, Jingjing Luo, Soo Hak Sung
doaj +1 more source
On conditions for the strong law of large numbers in general Banach spaces
We give Chung-Teicher type conditions for the SLLN in general Banach spaces under the assumption that the weak law of large numbers holds. An example is provided showing that these conditions can hold when some earlier known conditions fail.
Anna Kuczmaszewska, Dominik Szynal
doaj +1 more source
Non-homogeneous random walks with non-integrable increments and heavy-tailed random walks on strips [PDF]
We study asymptotic properties of spatially non-homogeneous random walks with non-integrable increments, including transience, almost-sure bounds, and existence and non existence of moments for first-passage and last-exit times.
MacPhee, Iain M. +9 more
core +2 more sources

