Comparing Random and Deterministic Time Series
impossibility theorem, randomness, B-processes
This paper addresses the question of distinguishing the output of a stochastic process from that of a deterministic process. An impossibility theorem is described which states that time a series resulting from deterministic B-processes is observationally equivalent to, and hence indistinguishable from, the output of a continuous time Markov process on a finite number of states.
© 1994 Springer-Verlag
A.E. Radunskaya, ``Comparing Random and Deterministic Time Series", Economic Theory, Vol. 4, pp. 765-774, (1994). doi: 10.1007/BF01212029