Limit Theorems for the Counting Process of Near-Records

DOI10.1080/03610918.2012.625328zbMath1266.60053OpenAlexW1995510087MaRDI QIDQ4905884

Raúl Gouet, Gerardo Sanz, F. Javier López

Publication date: 21 February 2013

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/133157

zbMATH Keywords

Limit theoremnear-record

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Strong limit theorems (60F15)

Related Items (1)

On the point process of near-record values

Cites Work

• Laws of large numbers for the number of weak records
• Limit theorems for numbers of near records
• On the number of near-maximum insurance claim under dependence.
• On \(\delta\)-record observations: asymptotic rates for the counting process and elements of maximum likelihood estimation
• Limit laws for the cumulative number of ties for the maximum in a random sequence
• Asymptotic normality for the counting process of weak records and \(\delta \)-records in discrete models
• On the number and sum of near-record observations

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