Asymptotic Characterization of Wald Type Vector Cumulative Processes


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A combinatorial approach is used to derive asymptotic expressions for arbitrary moments of cumulative vector processes, as the time horizon goes to infinity. The theory developed for such a derivation is based on the concept of conditional exchangeability of random variables, the theory of martingales, the theory of combinatorics and the asymptotic analysis of factorial moments. Diverse applications of the results are sketched.

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