A note on the number of maxima in a discrete sample

DOI10.1016/S0167-7152(96)00150-2zbMath0903.60024OpenAlexW2004187725MaRDI QIDQ1380613

Yongcheng Qi

Publication date: 8 March 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(96)00150-2

zbMATH Keywords

almost sure convergencemaxima

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (13)

Asymptotic behaviour of proportions of observations in random regions determined by central order statistics from stationary processes ⋮ A note on the paper of Khmaladze et al ⋮ Asymptotic normality of numbers of observations near order statistics from stationary processes ⋮ Arboreal structures on groups and the associated boundaries ⋮ On the number and sum of near-record observations ⋮ 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 ⋮ On characterization results based on the number of observations near thek-records ⋮ A note on the number of observations near an order statistic ⋮ How Many Observations Fall in a Neighborhood of an Order Statistic? ⋮ LIMIT THEOREMS FOR PROPORTIONS OF OBSERVATIONS FALLING INTO RANDOM REGIONS DETERMINED BY ORDER STATISTICS ⋮ The number of players tied for the record ⋮ A note on the number of records near the maximum

Cites Work

• The asymptotic probability of a tie for first place
• On the number of maxima in a discrete sample
• A necessary and sufficient condition for the existence of the limiting probability of a tie for first place
• The limit behavior of maxima modulo one and the number of maxima

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