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
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.