On the strong law of large numbers for delayed sums and random fields
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Publication:626026
DOI10.1007/s10474-010-9272-xzbMath1240.60065OpenAlexW2109333856MaRDI QIDQ626026
Publication date: 25 February 2011
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-010-9272-x
strong law of large numbersrandom fieldmoving blockslowly varying functionmoment conditiondelayed sumde Bruijn conjugate
Random fields (60G60) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)
Related Items (8)
Some limit properties for a hidden inhomogeneous Markov chain ⋮ The generalized entropy ergodic theorem for nonhomogeneous Markov chains ⋮ Strong law of large numbers for generalized sample relative entropy of non homogeneous Markov chains ⋮ Some generalized strong limit theorems for Markov chains in bi-infinite random environments ⋮ Strong deviation theorems for delayed sums of the nonnegative continuous random variables ⋮ THE GENERALIZED ENTROPY ERGODIC THEOREM FOR NONHOMOGENEOUS MARKOV CHAINS INDEXED BY A HOMOGENEOUS TREE ⋮ The Marcinkiewicz-Zygmund-type strong law of large numbers with general normalizing sequences ⋮ On complete convergence in mean for double sums of independent random elements in Banach spaces
Cites Work
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- On the LSL for random fields
- Between the LIL and the LSL
- Laws of the single logarithm for delayed sums of random fields. II
- Laws of the single logarithm for delayed sums of random fields
- Riesz means and self-neglecting functions
- Limit theorems for delayed sums
- Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
- Laws of iterated logarithm of multiparameter Wiener processes
- Probability: A Graduate Course
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