The asymptotic distribution of the bootstrap sample mean of an infinitesimal array

DOI10.1016/S0246-0203(98)80012-5zbMath0907.62018OpenAlexW2034936405MaRDI QIDQ1386733

Carlos Matrán, Juan Antonio Cuesta-Albertos

Publication date: 8 March 1999

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1998__34_1_23_0

zbMATH Keywords

central limit theoremconditional limit theoremPoisson random variableinfinitely divisible limit lawbootstrap of sample means

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Nonparametric statistical resampling methods (62G09)

Related Items (4)

On the low intensity bootstrap for triangular arrays of independent identically distributed random variables ⋮ How do bootstrap and permutation tests work? ⋮ Resampling schemes with low resampling intensity and their applications in testing hypotheses ⋮ Asymptotic stability of the bootstrap sample mean.

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