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- W2053370269 abstract "We prove an invariance principle in probability for φ-mixing sequences of random variables taking values in a separable Banach space. The conditions on the dependence structure required for this approximation result are known to be necessary and sufficient for weak convergence of the partial-sum process to the appropriate limiting process. Nous démontrons un principe d'invariance en probabilité pour des suites de variables aléatoires uniformément mélangeantes qui prennent leurs valeurs dans un espace de Banach. Les conditions de dépendance structurelle sous lesquelles on peut utiliser cette approximation sont déjà connues. Elles caractérisent la convergence faible du processus des sommes partielles d'une suite vers un processus limite convenable." @default.
- W2053370269 created "2016-06-24" @default.
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- W2053370269 date "1987-09-01" @default.
- W2053370269 modified "2023-10-16" @default.
- W2053370269 title "Invariance principles in probability for stable processes generated by a class of dependent sequences" @default.
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- W2053370269 doi "https://doi.org/10.2307/3314915" @default.
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