A Renewal Approach to Markovian U-statistics Patrice Bertail

Abstract

In this paper we describe a novel approach to the study of U -statistics in the markovian setup, based on the (pseudo-) regenerative properties of Harris Markov chains. Exploiting the fact that any sample path X1, . . . , Xn of a general Harris chain X may be divided into asymptotically i.i.d. data blocks B1, . . . , BN of random length corresponding to… (More)

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