The invariance principle for nonstationary sequences of associated random variables

zbMath0707.60004MaRDI QIDQ919694

Przemysław Matuła, Zdzisław Rychlik

Publication date: 1990

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1990__26_3_387_0

zbMATH Keywords

invariance principleassociated sequence of random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (3)

Invariance principle for associated random fields ⋮ A functional central limit theorem on non-stationary random fields with nested spatial structure ⋮ Weak convergence of products of sums of independent and non-identically distributed random variables

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