Results 41 to 50 of about 137 (132)

A strong law of large numbers for independent compactly uniformly integrable random sets [PDF]

Arab Journal of Mathematical Sciences
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, El-Moustafid Mohamed, Fatima Ezzaki   +2 more
doaj   +1 more source

The law of the iterated logarithm for exchangeable random variables

International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 391-396, 1995., 1993
In this note, necessary and sufficient conditions for laws of the iterated logarithm are developed for exchangeable random variables.
Hu-Ming Zhang, Robert L. Taylor
wiley   +1 more source

On the Local Time of Anisotropic Random Walk on Z2 [PDF]

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
core   +1 more source

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
doaj   +1 more source

On complete convergence in a Banach space

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 1-14, 1994., 1993
Sufficient conditions are given under which a sequence of independent random elements taking values in a Banach space satisfy the Hsu and Robbins law of large numbers. The complete convergence of random indexed sums of random elements is also considered.
Anna Kuczmaszewska, Dominik Szynal
wiley   +1 more source

Strong approximations for dependent competing risks with independent censoring [PDF]

Aalen-Johansen estimator, Dependent competing risks, Rate of convergence, Right-censoring, Strong approximation, 62G20, 62G05, 60F15, 60F17, 62G30,
Ségolen Geffray
core   +1 more source

On Feller′s criterion for the law of the iterated logarithm

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 323-340, 1994., 1993
Combining Feller′s criterion with a non‐uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on the Law of the Iterated Logarithm. Two of these results refine corresponding results of Wittmann (1985) and Egorov (1971). In addition, these results are compared with
Deli Li, M. Bhaskara Rao, Xiangchen Wang
wiley   +1 more source

Smallest-Fit Selection of Random Sizes under a Sum Constraint: Weak Convergence and Moment Comparisons [PDF]

, 1995
Primary 60G40, 60G70; secondary 60F05, 60F15, 60G55, 90B50.A Fulbright Grant and National Science Foundation Grant DMS 92 ...
Kertz, Robert P., Boshuizen, Frans A.
core  

Integrals of random fuzzy sets [PDF]

Random fuzzy sets, integrably bounded random fuzzy sets, Aumann-integral, Pettis-integral, Bochner-integral, dominated convergence theorems, strong law of large numbers, central limit theorems, Primary 60D05, Secondary 60F15,
Volker Krätschmer
core   +1 more source

Strong convergence for weighted sums of (α, β)-mixing random variables and application to simple linear EV regression model

Open Mathematics
In this article, the complete convergence and the Kolmogorov strong law of large numbers for weighted sums of (α,β)\left(\alpha ,\beta )-mixing random variables are presented.
Hu Wenjing, Wang Wei, Wu Yi
doaj   +1 more source