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An invariance principle for negatively associated random variables

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Publication:1370170
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DOI10.1007/BF02884220zbMath0884.60027MaRDI QIDQ1370170

Zheng Yan Lin

Publication date: 28 January 1998

Published in: Chinese Science Bulletin (Search for Journal in Brave)


zbMATH Keywords

invariance principlenegative associationstrictly stationary sequence


Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17)


Related Items (6)

Strong law of large numbers for \(\rho^{*}\)-mixing sequences with different distributions ⋮ Conditional limit theorems for conditionally negatively associated random variables ⋮ Complete q-th moment convergence for the maximum of partial sums of m-negatively associated random variables and its application to the EV regression model* ⋮ Large deviation principles for stationary NA sequences ⋮ The Hájek-Rényi inequality for the NA random variables and its application ⋮ Self-normalized central limit theorem and estimation of variance of partial sums for negative dependent random variables



Cites Work

  • A note on the almost sure convergence of sums of negatively dependent random variables




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