Resumen de Renewal Type Bootstrap for Markov Chains
In this paper we treat a renewal type of bootstrap for atomic Markov chains under minimal moment conditions on renewal times, i.e. E\tau ^{2}<\infty. Three main results are: a) if a Markov chain satisfies the CLT for the mean then it also satisfies a bootstrap CLT; b) if a Markov chain satisfies a uniform CLT over classes of functions then, it also satisfies bootstrap uniform CLT with minimal condition on envelope function $F;$ c) we establish second order correctness for this procedure. All results are for "in probability" bootstrap and constitute the final word in this setting.
