Counting process intensity estimation by orthogonal wavelet methods

Abstract

In recent years wavelet-based methods have been proposed to estimate density and regression functions, most often in settings with independent and identically distributed observations. An attractive feature of these methods is that the rate of convergence is unaffected by the presence of discontinuities in the function being estimated. We provide structure and mean-square analyses of wavelet-based estimators of counting process intensities in the context of the multiplicative intensity model.