On the strong law for arrays and for the bootstrap mean and variance

Tien-Chung Hu; R. L. Taylor

doi:10.1155/S0161171297000483

International Journal of Mathematics and Mathematical Sciences (Jan 1997)

On the strong law for arrays and for the bootstrap mean and variance

Tien-Chung Hu,
R. L. Taylor

Affiliations

Tien-Chung Hu: Department of Mathematics, National Tsing Hua University, Hsinchu 30043, Taiwan
R. L. Taylor: Department of Statistics, University of Georgia, Athens, GA 30602, USA

DOI: https://doi.org/10.1155/S0161171297000483
Journal volume & issue: Vol. 20, no. 2
pp. 375 – 382

Abstract

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Chung type strong laws of large numbers are obtained for arrays of rowwise independent random variables under various moment conditions. An interesting application of these results is the consistency of the bootstrap mean and variance.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/ijmms/

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