Large Deviation Principles for Sequences of Maxima and Minima
From MaRDI portal
Publication:5419351
DOI10.1080/03610926.2012.668606zbMath1294.60048OpenAlexW2050191802MaRDI QIDQ5419351
Publication date: 6 June 2014
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610926.2012.668606
large deviationsasymptotic independenceregularly varying functionsjoint distribution of minima and maximatail of a distribution function
Characterization and structure theory for multivariate probability distributions; copulas (62H05) Order statistics; empirical distribution functions (62G30) Extreme value theory; extremal stochastic processes (60G70) Large deviations (60F10)
Related Items
Asymptotics of running maxima for \(\varphi \)-subgaussian random double arrays, Some examples of noncentral moderate deviations for sequences of real random variables, Asymmetric scaling in large deviations for rare values bigger or smaller than the typical value, Large deviations of the maximum of independent and identically distributed random variables, Real-space renormalization for disordered systems at the level of large deviations, The joint distribution of the maximum and minimum of an AR(1) process, Limit theorems for random points in a simplex, Accurately approximating extreme value statistics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large deviations for estimators of some threshold parameters
- Maxima and minima of stationary sequences
- Large deviations of heavy-tailed sums with applications in insurance
- Revealing the dependence structure between \(X_{(1)}\) and \(X_{(n)}\)
- Statistics of Extremes
- Integral Limit Theorems Taking Large Deviations into Account when Cramér’s Condition Does Not Hold. I
- Stability of maxima of random variables defined on a Markov chain
- Large deviations for processes with independent increments
- Large deviations of sums of independent random variables