Complete convergence theorems for L-mixingales
Copyright policy )Complete convergence theorems for L-mixingales
Various theorems are proved concerning sufficient conditions for the complete convergence of sums (or random sums) of Banach space-valued \({\mathcal L}^p\)-mixingales. These results generalize and extend some of the author's earlier work [Int. J. Math. Math. Sci. 24, 737--747 (2000; Zbl 0972.60016)] and suggest easier assumptions. In a particular setup, some necessary conditions are also discussed.
- Wuhan University China (People's Republic of)
\({\mathcal L}^p\)-mixingale, Strong limit theorems, Generalizations of martingales, Applied Mathematics, complete convergence, q-smooth Banach space, Lp-mixingale, Complete convergence, Martingales with discrete parameter, \(q\)-smooth Banach space, Analysis
\({\mathcal L}^p\)-mixingale, Strong limit theorems, Generalizations of martingales, Applied Mathematics, complete convergence, q-smooth Banach space, Lp-mixingale, Complete convergence, Martingales with discrete parameter, \(q\)-smooth Banach space, Analysis
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