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Hoeffding-type exponential inequalities are obtained for the distributiontails of canonical von Mises' statistics of arbitrary order based on samplesfrom a stationary sequence of random variables satisfying the {\varphi}-mixingcondition.  The present paper weakens the restrictions on the coefficient {\varphi}()which are contained in the paper "Exponential inequalities for thedistributions of canonical U- and V-statistics of dependent observations" byBorisov and Volodko (2009). At the same time, we correct the correspondingproof in this paper.

A note on exponential inequalities for the distribution tails of canonical von Mises' statistics of dependent observations