On convergence rate in the SLLN for maximums of moving-average sums of ALNQD random fields
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Publication:2980122
DOI10.1080/03610926.2014.1000678zbMath1362.60028OpenAlexW2530327646MaRDI QIDQ2980122
Publication date: 27 April 2017
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610926.2014.1000678
complete convergencestrong law of large numbersrandom fieldsmaximumasymptotically linear negative quadrant dependencemoving-average processes
Random fields (60G60) Extreme value theory; extremal stochastic processes (60G70) Strong limit theorems (60F15)
Cites Work
- An asymmetric Marcinkiewicz-Zygmund LLN for random fields
- Convergence rates for probabilities of moderate deviations for sums of random variables with multidimensional indices
- Complete convergence of moving average processes
- Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
- Almost-sure results for a class of dependent random variables
- Convergence rates for probabilities of moderate deviation for sums of random variables indexed by \(Z_ +^ d\)
- Negative association of random variables, with applications
- Some Concepts of Dependence
- Complete Convergence and the Law of Large Numbers
- A functional central limit theorem for asymptotically negatively dependent random fields
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