A Generalization of Weak Law of Large Numbers
From MaRDI portal
Publication:5198942
DOI10.1080/07362994.2011.581099zbMath1246.60037OpenAlexW2006601584MaRDI QIDQ5198942
Publication date: 10 August 2011
Published in: Stochastic Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/07362994.2011.581099
slowly varying functionKolmogorov's weak law of large numbersnegatively associated and independent random variables
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)
Related Items (17)
A note on the weak law of large numbers for weighted negatively superadditive dependent random variables ⋮ Some extensions of the classical law of large numbers ⋮ Weak laws of large numbers for maximal weighted sums of random variables ⋮ Weak law of large numbers without any restriction on the dependence structure of random variables ⋮ A remark on the Kolmogorov-Feller weak law of large numbers ⋮ On the notions of stochastic domination and uniform integrability in the Cesàro sense with applications to weak laws of large numbers for random fields ⋮ On a new concept of stochastic domination and the laws of large numbers ⋮ Weak convergence for weighted sums of a class of random variables with related statistical applications ⋮ Weak law of large numbers and complete convergence for general dependent sequences ⋮ Generalized weak laws of large numbers in Hilbert spaces ⋮ On weak laws of large numbers for maximal partial sums of pairwise independent random variables ⋮ Mean convergence and weak laws of large numbers for multidimensional arrays of random elements ⋮ On an Extension of the Weak Law of Large Numbers of Kolmogorov and Feller ⋮ A lower bound for the tail probability of partial maxima of dependent random variables and applications ⋮ A note on the weak law of large numbers of Kolmogorov and Feller ⋮ On a weak law of large numbers with regularly varying normalizing sequences ⋮ A conditional version of the extended Kolmogorov-Feller weak law of large numbers
Cites Work
- Unnamed Item
- An extension of the Kolmogorov-Feller weak law of large numbers with an application to the St. Petersburg game
- A comparison theorem on moment inequalities between negatively associated and independent random variables
- Negative association of random variables, with applications
- A strong law of large numbers for arrays of rowwise negatively dependent random variables
This page was built for publication: A Generalization of Weak Law of Large Numbers
