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Let <bold>X</bold> = {X(t)}<subscrpt>t ≥ 0</subscrpt> be a stochastic process with a stationary version <bold>X<supscrpt>*</supscrpt></bold>. It is investigated when it is possible to generate by simulation a version <bold>X˜</bold> of <bold>X</bold> with lower initial bias than <bold>X</bold> itself, in the sense that either… (More)

This note presents four sets of problems. The first suggests the possibility of a limit theory for null-recurrent renewal processes similar to the theory in the positive recurrent case. The second concerns exact coupling of random walks on the line with step-lengths that are neither discrete nor spread out. The third concerns the coupling characterization… (More)

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