Find conditions on βn and kn such that the truncated datadependent partitioning estimate, which uses a partition defined by Gessaman’s rule (cf. end of Section 13.3), is strongly consistent for all...

Find conditions on βn and kn such that the truncated datadependent partitioning estimate, which uses a partition defined by Gessaman’s rule (cf. end of Section 13.3), is strongly consistent for all distributions of (X, Y ) where each component of X has a density and EY 2