The distribution of the maximum of a random number of random variables with applications

DOI10.2307/3212500zbMath0248.62020OpenAlexW2317809296MaRDI QIDQ5661031

Janos Galambos

Publication date: 1973

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3212500

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Queueing theory (aspects of probability theory) (60K25)

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Asymptotic properties of bivariate random extremes ⋮ A stochastic discounting model arising in competing risks management ⋮ The limit theorems for maxima of stationary Gaussian processes with random index ⋮ Limit theorems for mixed max-sum processes with renewal stopping ⋮ Some properties of convergence in distribution of sums and maxima of dependent random variables ⋮ Limit theory of bivariate generalized order statistics with random sample size ⋮ Optimal Choice of Small Regular Shapes for Accidentally Damaged Tessellation ⋮ Limit laws for the maxima of stationary chi-processes under random index

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