Results 31 to 40 of about 90,064 (303)

A Multivalued Strong Law of Large Numbers [PDF]

open access: yesJournal of Theoretical Probability, 2014
Research partially funded by Spain's Ministerio de Ciencia e Innovación (TIN2008- 06796-C04-04, MTM2011-22993, ECO1022-24181).
openaire   +2 more sources

Doob's Type Inequality and Strong Law of Large Numbers for Demimartingales

open access: yesJournal of Inequalities and Applications, 2010
We establish some maximal inequalities for demimartingales which generalize the result of Wang (2004). The maximal inequality for demimartingales is used as a key inequality to establish other results including Doob's type maximal inequality, strong ...
Yang Wenzhi   +3 more
doaj   +1 more source

Strong Law of Large Numbers for Solutions of Non-Autonomous Stochastic Differential Equations

open access: yesНаукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017
Background. Asymptotic behavior at infinity of non-autonomous stochastic differential equation solutions is studied in the paper.  Objective. The aim of the work is to find sufficient conditions for the strong law of large numbers for a random process ...
Oleg I. Klesov   +2 more
doaj   +1 more source

Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees

open access: yesJournal of Inequalities and Applications, 2016
In this paper, a kind of infinite, local finite tree T, named a controlled tree, is introduced. Some strong limit properties, such as the strong law of large numbers and the asymptotic equipartition property, for nonhomogeneous Markov chains indexed by T,
Weicai Peng   +4 more
doaj   +1 more source

On combinatorial strong law of large numbers and rank statistics [PDF]

open access: yes, 2020
The author had earlier obtained a strong law of large numbers P for combinatorial sums i Xniπn(i) , where kXnijk is a matrix of order n from random variables with finite fourth moments and (πn(1), πn(2), . . . , πn(n)) is a random permutation having
Frolov, Andrei N.
core   +1 more source

Strong laws for weighted sums of random variables satisfying generalized Rosenthal type inequalities

open access: yesJournal of Inequalities and Applications, 2020
Let 1 ≤ p < 2 $1\le ...
Yanchun Yi, Pingyan Chen, Soo Hak Sung
doaj   +1 more source

Complete convergence of randomly weighted END sequences and its application

open access: yesJournal of Inequalities and Applications, 2017
We investigate the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random variables. Some results of complete moment convergence, complete convergence and the strong law of large numbers for this dependent ...
Penghua Li, Xiaoqin Li, Kehan Wu
doaj   +1 more source

Cell geometry and membrane protein crowding constrain Escherichia coli growth rate, overflow metabolism, respiration, and maintenance energy

open access: yesFEBS Letters, EarlyView.
The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson   +6 more
wiley   +1 more source

A note on the strong law of large numbers for associated sequences

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
We prove that the sequence {bn−1∑i=1n(Xi−EXi)}n≥1 converges a.e. to zero if {Xn,n≥1} is anassociated sequence of random variables with ∑n=1∞bkn−2Var(∑i=kn−1+1knXi)
A. Nezakati
doaj   +1 more source

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