Weak laws of large numbers for weighted independent random variables with infinite mean
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Publication:899647
DOI10.1016/j.spl.2015.11.017zbMath1329.60040OpenAlexW2177869990MaRDI QIDQ899647
Publication date: 30 December 2015
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2015.11.017
regular variationweak laws of large numbersinfinite meanPareto-Zipf distributionsweighted independent random variables
Related Items (18)
Some limit theorems for weighted negative quadrant dependent random variables with infinite mean ⋮ One sided strong laws for random variables with infinite mean ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Weak laws of large numbers for nonnegative independent random variables without finite means ⋮ Unnamed Item ⋮ Limit theorems for dependent random variables with infinite means ⋮ Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of random variables with infinite moment and its applications ⋮ Exact weak laws of large numbers with applications to ratios of random variables ⋮ Weak and one-sided strong laws for random variables with infinite mean ⋮ Exact laws of large numbers for independent Pareto random variables ⋮ Unnamed Item ⋮ Large deviations for super-heavy tailed random walks ⋮ On exact laws of large numbers for Oppenheim expansions with infinite mean ⋮ Laws of large numbers with infinite mean ⋮ Convergence in mean and central limit theorems for weighted sums of martingale difference random vectors with infinite rth moments ⋮ Weighted Laws of Large Numbers for a class of independent summands ⋮ The laws of large numbers for Pareto-type random variables with infinite means
Cites Work
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- An extension of the Kolmogorov-Feller weak law of large numbers with an application to the St. Petersburg game
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- Limit theorems for nonnegative independent random variables with truncation
- Laws of large numbers for asymmetrical Cauchy random variables
- Relative stability and the strong law of large numbers
- Limit Theorems for a Generalized Feller Game
- Probability: A Graduate Course
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