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Alternative Forms of Fractional Brownian Motion - (Now Published in Journal of Statistical Planning and Inference, 80 (1999), Pp.111-122.)

It is pointed out that two contradictory definitions of fractional Brownian motion are well established, one prevailing in the probabilistic literature, the other in the econometric literature. Each is associated with a different definition of nonstationary fractional time series. These various definitions have occasionally led to some confusion. The paper discusses the definitions and attempts a clarification.