A note on exact laws of large numbers for the range of a sample from Pareto-type distributions

DOI10.1016/j.spl.2021.109297zbMath1481.60072OpenAlexW3213619463MaRDI QIDQ2070593

Yanyan Li

Publication date: 24 January 2022

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2021.109297

zbMATH Keywords

order statisticsstrong law of large numbersrangePareto distributionweighted sumsi.i.d. random variables

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (1)

Higher-order expansions of sample range from skew-normal distribution

Cites Work

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• Exact strong laws of large numbers for ratios of the smallest order statistics
• On exact strong laws of large numbers for ratios of random variables and their applications
• Exact Strong Laws for the Range
• Exact weak laws of large numbers with applications to ratios of random variables
• A First Course in Order Statistics

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