Unusual limit theorems for the difference of order statistics from a Pareto

DOI10.21915/BIMAS.2021204zbMath1478.60083WikidataQ113714861 ScholiaQ113714861MaRDI QIDQ5164681

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Publication date: 12 November 2021

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

zbMATH Keywords

order statisticsstrong law of large numberscentral limit theoremalmost sure convergenceweak law of large numbersexact strong law

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

Cites Work

• Some limit theorems for ratios of order statistics from uniform random variables
• On exact laws of large numbers for Oppenheim expansions with infinite mean
• Exact laws for sums of ratios of order statistics from the Pareto distribution
• Exact laws of large numbers for independent Pareto random variables
• On exact strong laws of large numbers for ratios of random variables and their applications
• Exact Strong Laws for the Range
• Laws of large numbers with infinite mean
• Some Generalized Central Limit Theorems for Weighted Sums with Infinite Variance
• The laws of large numbers for Pareto-type random variables with infinite means
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