On the convergence for randomly weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables (Q6597148)
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scientific article; zbMATH DE number 7905655
| Language | Label | Description | Also known as |
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| English | On the convergence for randomly weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables |
scientific article; zbMATH DE number 7905655 |
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On the convergence for randomly weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables (English)
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3 September 2024
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The focus of this paper is on limit results for sequences of pairwise negative quadrant dependent (shortly NQD) random variables. Examples of pairwise NQD include negatively associated random variables and negatively orthant dependent random variables, and such sequences are widely used in statistics. For weighted sums of coordinatewise pairwise NQD random variables taking value in a Hilbert space, the authors give conditions for the complete convergence. Their main result is then applied to degenerate von Mises statistics.
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negative quadrant dependence (NQD)
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Hilbert spaces
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randomly weighted sums
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complete convergence
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