On a strongly consistent estimator of the squared L_2-norm of a function
Volume 23 / 1995
Applicationes Mathematicae 23 (1995), 279-284
DOI: 10.4064/am-23-3-279-284
Abstract
A kernel estimator of the squared $L_2$-norm of the intensity function of a Poisson random field is defined. It is proved that the estimator is asymptotically unbiased and strongly consistent. The problem of estimating the squared $L_2$-norm of a function disturbed by a Wiener random field is also considered.
