It is shown that the (empirically determined) mode of the kernel estimate uniformly converges to the conditional mode function under the rho -mixing condition over an increasing sequence of compact sets which increases to IR^d.
"Estimation of the Mode Function for e-mixing Observations,"
Journal of Statistics Applications & Probability: Vol. 1
, Article 4.
Available at: https://dc.naturalspublishing.com/jsap/vol1/iss3/4