Exact laws of large numbers for independent Pareto random variables

DOI10.21915/BIMAS.2017403zbMath1388.60063MaRDI QIDQ4643965

Toshio Nakata

Publication date: 30 May 2018

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

zbMATH Keywords

Pareto distributionexact law of large numbersinfinite mean

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (5)

Unnamed Item ⋮ Weak and one-sided strong laws for random variables with infinite mean ⋮ Large deviations for super-heavy tailed random walks ⋮ Unusual limit theorems for the difference of order statistics from a Pareto ⋮ Weighted Laws of Large Numbers for a class of independent summands

Cites Work

• Weak laws of large numbers for weighted independent random variables with infinite mean
• Stability of sums of independent random variables
• Almost sure limit theorems for the St. Petersburg game
• One sided strong laws for random variables with infinite mean
• Exact Weak Laws and One Sided Strong Laws
• Probability: A Graduate Course
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Exact laws of large numbers for independent Pareto random variables