  In this paper we study the problem of semiparametric estimation for a class
of McKean-Vlasov stochastic differential equations. Our aim is to estimate the
drift coefficient of a MV-SDE based on observations of the corresponding
particle system. We propose a semiparametric estimation procedure and derive
the rates of convergence for the resulting estimator. We further prove that the
obtained rates are essentially optimal in the minimax sense.
