Asymptotics for hazard regression

In hazard regression (HARE), the logarithm of the conditional haz­ ard function of a survival time given a covariate is modeled by a sum of polynomial splines and their tensor products. Under appropriate conditions, it has been shown that the (nonadaptive) HARE estimate of the conditional log-hazard function possesses an optimal L 2 rate of convergence. The current paper considers the L oo rates of convergence and the distributional properties of HARE estimates of the conditional hazard, cumulative hazard, survival and density functions. In partic­ ular, it will be shown that these estimates are asymptotically normal.

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