On conditional hazard function estimate for functional mixing data

This paper considers the problem of nonparametric estimation of the conditional hazard function for functional mixing data. In particular, given a strictly stationary random variables $displaystyle Z_i=left(X_i, Y_iright)_{iinmathbb{N}}$, we investigate a kernel estimate of the conditional hazard function of univariate response variable $Y_i$ given the functional variable $X_i$. The mean squared convergence rate is given and the asymptotic normality of the proposed estimator is proven.