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This paper deals with the problem of inference associated with linearfractional diffusion process with random effects in the drift. In particular weare concerned with the maximum likelihood estimators (MLE) of the random effectparameters. First of all, we estimate the Hurst parameter H from one singlesubject. Second, assuming the Hurst index H is known, we derive the MLE andexamine their asymptotic behavior as the number of subjects under study becomeslarge, with random effects normally distributed.

Statistical inference for fractional diffusion process with random effects at discrete observations