Limit laws for the cumulative number of ties for the maximum in a random sequence

DOI10.1016/j.jspi.2009.02.001zbMath1176.60014OpenAlexW1978640271MaRDI QIDQ2390459

F. Javier López, Raúl Gouet, Gerardo Sanz

Publication date: 22 July 2009

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/130524

zbMATH Keywords

tieslimit theoremsrecordsweak recordsdistrete distributions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Strong limit theorems (60F15)

Related Items (6)

Asymptotic behaviour of proportions of observations in random regions determined by central order statistics from stationary processes ⋮ Asymptotic normality of numbers of observations near order statistics from stationary processes ⋮ Limit Theorems for the Counting Process of Near-Records ⋮ An ergodic theorem for proportions of observations that fall into random sets determined by sample quantiles ⋮ Asymptotic normality of numbers of observations in random regions determined by order statistics ⋮ LIMIT THEOREMS FOR PROPORTIONS OF OBSERVATIONS FALLING INTO RANDOM REGIONS DETERMINED BY ORDER STATISTICS

Cites Work

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• Laws of large numbers for the number of weak records
• The number of players tied for the record
• The asymptotic probability of a tie for first place
• Asymptotic behaviour of a number of repeated records
• Limit theorems for the number and sum of near-maxima for medium tails.
• On the multiplicity of the maximum in a discrete random sample
• The number of winners in a discrete geometrically distributed sample
• A necessary and sufficient condition for the existence of the limiting probability of a tie for first place
• Limit theorems for records from discrete distributions
• Asymptotic normality for the counting process of weak records and \(\delta \)-records in discrete models
• A note on the number of observations near an order statistic
• The number of elements close to near-records in geometric samples
• A martingale approach to strong convergence of the number of records
• Weibull Models
• On the number and sum of near-record observations
• Central limit theorems for the number of records in discrete models

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