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Titlebook: Asymptotic Laws and Methods in Stochastics; A Volume in Honour o Donald Dawson,Rafal Kulik,Yiqiang Zhao Book 2015 Springer Science+Business

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Foundations of Microsoft Expression Web established for the self-normalized partial sums processes . when . belongs to the domain of attraction of a stable law with index . ∈ (0, 2]. The respective limiting distributions of the random variables . and . are also obtained under the same condition.
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https://doi.org/10.1007/978-1-4302-0392-6ndom variables. The precise asymptotics for the general deviation probabilities are derived. Many known theorems for self-normalized sums of random variables can follow from the given results, and thus the precise asymptotics in the complete moment convergence, law of iterated logarithm and large de
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Using Expression Web to Create Basic CSS,rresponding linear processes. The strength of dependence and the tail properties of time series built upon linear processes can be expressed in terms of the linear process itself through the innovations and their weights. In this paper we survey recent developments on some asymptotics of linear proc
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Jump-Type Chains and Branching Processeshe .-axis. We say that a lattice point is covered by . at time . if there is a . ≤ . for which .(.) = (., .). A set . is covered if each (., .) ∈ . is covered. Let .. be the largest integer for which [−.., ..]. is covered at time .. Our main result gives an upper and a lower bound for ... A similar
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Random Sequences, Series, and Averagesnctionals of a stationary and ergodic Markov chain these theorems are known under the terminology of central limit theorem and its functional form, started at a point. All these results have in common that they are obtained via a martingale approximation in the almost sure sense. We point out severa
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