International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 2, Pages 375-382
doi:10.1155/S0161171297000483

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

Tien-Chung Hu1 and R. L. Taylor2

 1Department of Mathematics, National Tsing Hua University, Hsinchu 30043, Taiwan
2Department of Statistics, University of Georgia, Athens 30602, GA, USA
Received 17 August 1995; Revised 16 January 1996

Abstract

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.