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A Functional Limit Theorem for Additively Separable Statistics in the Case of Very Rare Events - MaRDI portal

A Functional Limit Theorem for Additively Separable Statistics in the Case of Very Rare Events

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Publication:3727063

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DOI10.1137/1130081zbMath0595.60037OpenAlexW2027000004MaRDI QIDQ3727063

Robert M. Mnatsakanov

Publication date: 1986

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1130081

zbMATH Keywords

weak convergence Brownian bridge empirical distribution function Ito process additively distributive statistic

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17)

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