TY - JOUR AB - We address statistical inference for linear fractional diffusion processes with random effects in the drift. In particular, we investigate maximum likelihood estimators (MLEs) of the random effect parameters. First of all, we estimate the Hurst parameter H∈(0,1) from one single subject. Second, assuming that the Hurst index H∈(0,1) is known, we derive the MLEs and examine their asymptotic behavior as the number of subjects under study becomes large, with random effects being normally distributed. AU - Omari, M.E.* AU - Maroufy, H.E.* AU - Fuchs, C. C1 - 74052 C2 - 57309 CY - Tiergartenstrasse 17, D-69121 Heidelberg, Germany TI - Statistical inference for discretely observed fractional diffusion processes with random effects. JO - Commun. Math. Stat. PB - Springer Heidelberg PY - 2025 SN - 2194-6701 ER -