Abstract
Heller's (1965) concept of a stochastic module is examined with the purpose of seeing what are the algebraic implications of various probabilistic properties of discrete time, finite state processes. $k$th order Markovity, recurrence, stationarity, and ergodicity are given characterizations in terms of the stochastic module.
Citation
Paul W. Holland. "Some Properties of an Algebraic Representation of Stochastic Processes." Ann. Math. Statist. 39 (1) 164 - 170, February, 1968. https://doi.org/10.1214/aoms/1177698514
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