Consistency of a nonparametric estimate of a density function for dependent variables (Q1115056)
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scientific article; zbMATH DE number 4086768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Consistency of a nonparametric estimate of a density function for dependent variables |
scientific article; zbMATH DE number 4086768 |
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Consistency of a nonparametric estimate of a density function for dependent variables (English)
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1988
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Strong consistency and uniform complete consistency of the non-parametric density estimator proposed by \textit{D. O. Loftsgaarden} and \textit{C. D. Quesenberry} [Ann. math. Stat. 36, 1049-1051 (1965; Zbl 0132.389)] is proved for \(\phi\)-mixing and \(\alpha\)-mixing processes.
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nearest neighbour method
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phi-mixing
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alpha-mixing
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Strong consistency
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uniform complete consistency
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density estimator
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