Local limit theorems for the maxima of discrete random variables

DOI10.1017/S0305004100057443zbMath0448.60017OpenAlexW2148438249MaRDI QIDQ3894710

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Publication date: 1980

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100057443

zbMATH Keywords

asymptotic behaviourdomain of attractionextreme value distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (10)

Extreme value modelling of water-related insurance claims ⋮ Maxima of Poisson-like variables and related triangular arrays ⋮ Conditioning Galton-Watson trees on large maximal outdegree ⋮ Order Statistics from Discrete Distributions ⋮ Discretization of distributions in the maximum domain of attraction ⋮ Tails of random sums of a heavy-tailed number of light-tailed terms ⋮ Computing with Spikes: The Advantage of Fine-Grained Timing ⋮ The distribution of the maximum of a first-order moving average: The discrete casex ⋮ Mixed Poisson distributions tail equivalent to their mixing distributions ⋮ A limiting distribution for maxima of discrete stationary triangular arrays with an application to risk due to avalanches

Cites Work

• Sur la distribution limite du terme maximum d'une série aléatoire
• Sample Sequences of Maxima
• Extreme value theory for a class of discrete distributions with applications to some stochastic processes
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