Abstract:
For bootstrap sample means resulting from a sequence fXn; n 8 1g of random variables, very general weak laws of large numbers are established. The random variables fXn; n 8 1g do not need to be independent or identically distributed or to be of any particular dependence structure. In general, no moment conditions are imposed on the fXn; n 8 1g: Examples are provided which illustrate the sharpness of the main results.