In a recent paper, Tanner (1983) proves pointwise consistency of a variable bandwidth kernel estimator for the hazard function. In the present note, a simplified proof of uniform consistency of a data-adaptive kernel estimator with certain additional advantages is given.
"A Note on Data-Adaptive Kernel Estimation of the Hazard and Density Function in the Random Censorship Situation." Ann. Statist. 13 (2) 818 - 820, June, 1985. https://doi.org/10.1214/aos/1176349560