UNIFORM CONVERGENCE OF A NONPARAMETRIC ESTIMATE OF POISSON REGRESSION WITH AN APPLICATION TO GOODNESS-OF-FIT

Kernel-type nonparametric estimates of Poisson regression function are considered. We establish the conditions of uniform consistency and the limit theorems for continuous functionals connected with this function on \(C[a,1-a]\) $C[a,1-a]$ , \(0<a<\frac{1}{2}\) $0<a<\frac{1}{2}$ .