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Functional limit theorems for inverse bootstrap processes of sample quantiles - MaRDI portal

Functional limit theorems for inverse bootstrap processes of sample quantiles (Q808578)

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scientific article; zbMATH DE number 4211287
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Functional limit theorems for inverse bootstrap processes of sample quantiles
scientific article; zbMATH DE number 4211287

    Statements

    Functional limit theorems for inverse bootstrap processes of sample quantiles (English)
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    1991
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    A functional central limit theorem is established for an inverse bootstrap process. The processes generated by smoothing the distribution function before bootstrapping are also considered. The main results are derived from a representation in terms of empirical quantile processes.
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    bootstrap estimate
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    quantile function
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    sample quantile
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    smoothed bootstrap
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    kernel estimate
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    confidence interval
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    Brownian motion
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    functional central limit theorem
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    inverse bootstrap process
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    empirical quantile processes
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