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- W2008186358 abstract "The invariance principle for triangular arrays of dependent variables is studied. We use the concept of mixingale, proposed by McLeish (1975). Uniform bounds are imposed on the growth of conditional expectations with respect to distant predecessors. The theorem is applied to invariance principles for autocovariance estimates based on triangular arrays of time-series data for weak mixing sequences and linear processes. Such results are required for bootstrap applications. Les auteurs étudient le principe d'invariance pour des tableaux triangulaires de variables dépendantes. Us utilisent pour ce faire le concept de 'mixingale' proposé par McLeish (1975). Us imposent des bornes uniformes sur la croissance des espérances conditionnelles par rapport aux prédécesseurs éloignés. En découlent des applications aux principes d'invariance pour des estimations de I'autocovariance s'appuyant sur des tableaux triangulaires de séries chronologiques pour des suites faiblement mélangeantes et des processus linéaires. De tels résultats sont prérequis pour la mise en oeuvre de méthodes d'auto-amorcage." @default.
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- W2008186358 date "1999-06-01" @default.
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- W2008186358 title "An invariance principle for triangular arrays of dependent variables with application to autocovariance estimation" @default.
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- W2008186358 doi "https://doi.org/10.2307/3315643" @default.
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