A survey of limit laws for bootstrapped sums
Sándor Csörgő, Andrew Rosalsky · International Journal of Mathematics and Mathematical Sciences · 2003
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.