Titlebook: When Does Bootstrap Work?; Asymptotic Results a Enno Mammen Book 1992 Springer-Verlag New York, Inc. 1992 Mathematica.approximation.functio

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https://doi.org/10.1007/978-1-4612-2950-6Mathematica; approximation; function; proof; theorem

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Heterodoxy

When Does Bootstrap Work?978-1-4612-2950-6Series ISSN 0930-0325 Series E-ISSN 2197-7186

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,A bootstrap success story: Using nonparametric density estimates in k — sample problems,In this and in the next chapter we will study applications of bootstrap in nonparametric density estimation. For other applications of bootstrap in nonparametric density estimation see Hall (1990e). We consider the following setup.

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Bootstrap and asymptotic normality,hown that bootstrap works asymptotically under the same assumptions as a normal approximation with estimated variance (Theorem 1). This result is extended to the case of independent but not necessarily identically distributed observations (Theorem 2). Furthermore, bootstrap with a Poisson random sam

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