\input zb-basic \input zb-ioport \iteman{io-port 01264796} \itemau{Kitaeva, A.V.; Koshkin, G.M.} \itemti{Stable multidimensional intensity function: Stable nonparametric estimation with refined convergence rate.} \itemso{Autom. Remote Control 58, No.5, Pt. 2, 876-886 (1997); translation from Avtom. Telemekh. 1997, No.5, 202-214 (1997).} \itemab Summary: The kernel-type stable estimates derived for a multidimensional hazard function have improved convergence rate of mean-square error. An exact expression for the principal part of the asymptotic means-square error is derived, it is optimized, and the estimates are shown to be asymptotically normal. Theoretical results are corroborated in a simulation experiment. \itemrv{~} \itemcc{} \itemut{asymptotic normality; kernel density estimate; reliability index} \itemli{} \end