Marcinkiewicz laws with infinite moments
type: Item
instance of: scholarly article
title: Marcinkiewicz laws with infinite moments
zbMATH Open document ID: 1274.60076
published in: Acta Mathematica Hungarica
publication date: 2013-04-05T00:00:00Z
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60F10
zbMATH DE Number: 6151158
zbMATH Keywords: laws of large numbers
zbMATH Keywords: \(\varphi\)-mixing
zbMATH Keywords: continued fraction
zbMATH Keywords: domain of attraction
zbMATH Keywords: relative stability
zbMATH Keywords: St. Petersburg game
zbMATH Keywords: Lévy-Ottaviani-Etemadi inequality
zbMATH Keywords: Hoffmann-Jørgensen inequality
author: Zbigniew S. Szewczak
MaRDI profile type: Publication
full work available at URL: s10474-010-9091-0
OpenAlex ID: W4252141985
cites work: LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
cites work: Q3906818
cites work: Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$
cites work: Q5560061
cites work: Q4836494
cites work: Q4269108
cites work: Q4726487
cites work: A central limit theorem for stationary \(\rho\)-mixing sequences with infinite variance
cites work: Basic properties of strong mixing conditions. A survey and some open questions
cites work: Q4815550
cites work: Q4838517
cites work: Pooling strategies for St. Petersburg gamblers
cites work: Stable limits for partial sums of dependent random variables
cites work: Stable limit distributions for strongly mixing sequences
cites work: Q3703015
cites work: Note on the Law of Large Numbers and "Fair" Games
cites work: Q5624436
cites work: Domains of attraction of mixing sequences
cites work: An extension of the Kolmogorov-Feller weak law of large numbers with an application to the St. Petersburg game
cites work: Rates of Convergence in Stable Limit Theorems for Sums of Exponentially Ψ-mixing Random Variables with an Application to Metric Theory of Continued Fractions
cites work: The statistics of the continued fraction digit sum
cites work: Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables
cites work: Sums of independent Banach space valued random variables
cites work: Q5624460
cites work: Q5590550
cites work: Q4707662
cites work: Minimal conditions in \(p\)-stable limit theorems
cites work: \(\alpha\)-stable limit theorems for sums of dependent random vectors
cites work: Q3997990
cites work: Fractions continues aléatoires
cites work: Q4335412
cites work: Relative stability and the strong law of large numbers
cites work: Q5766606
cites work: A limit theorem which clarifies the ‘Petersburg Paradox'
cites work: On probability and moment inequalities for dependent random variables
cites work: An invariance principle for \(\phi\)-mixing sequences
cites work: On Ibragimov-Iosifescu conjecture for \(\phi\)-mixing sequences
cites work: Limit theorems for sums of partial quotients of continued fractions
cites work: Relatively Stable Walks
cites work: Convergence of sums of mixing triangular arrays of random vectors with stationary rows
cites work: On Some Limit Theorems for Continued Fractions
cites work: Regularly varying functions
cites work: Q3276190
cites work: The so-called Petersburg paradox
cites work: Relative stability for strictly stationary sequences
cites work: On limit theorems for continued fractions
cites work: The Limiting Distribution of the St. Petersburg Game
DOI: 10.1007/S10474-010-9091-0
Wikidata QID: Q131316961
Recommended article: Marcinkiewicz's strong law of large numbers for nonlinear expectations
Recommended article: Q5487722
Recommended article: On Marcinkiewicz-Zygmund laws
Recommended article: On the infinite-dimensional moment problem
Recommended article: Q3139498
Recommended article: An infinite-dimensional law of large numbers in Cesaro's sense
Recommended article: Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of random variables with infinite moment and its applications
Recommended article: Moment problems in an infinite number of variables
Recommended article: Marcinkiewicz-Zygmund strong laws for infinite variance time series.