This paper introduces a speci…c Bootstrap method for positiverecurrent Markov chains, based on the regenerative method and the Nummelinsplitting technique. The main idea underlying this construction consists in generatinga sequence of approximate pseudo-renewal times for a Harris chain X...

This paper is devoted to present and study a specific continuoustimepiecewise-deterministic Markov process for describing the temporal evolution ofexposure to a given food contaminant. The quantity X of food contaminant presentin the body evolves through its accumulation after repeated dietary...

Abstract : In Bertail & Clémençon (2005a) a novel methodology for bootstrappinggeneral Harris Markov chains has been proposed, which crucially exploits their renewalproperties (when eventually extended via the Nummelin splitting technique) and has theoreticalproperties that surpass other...