Sándor Csörgő, Andrew Rosalsky, "A survey of limit laws for bootstrapped sums", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 825942, 27 pages, 2003. https://doi.org/10.1155/S0161171203301437
A survey of limit laws for bootstrapped sums
Concentrating mainly on independent and identically distributed (i.i.d.) real-valued parent sequences, we give an overview of first-order limit theorems available for bootstrapped sample sums for Efron's bootstrap. As a light unifying theme, we expose by elementary means the relationship between corresponding conditional and unconditional bootstrap limit laws. Some open problems are also posed.
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