Affordable Access

The laws of the iterated logarithm for two kinds of PP statistics

Authors

Abstract

Motivated by recent work on exploratory Projection Pursuit (PP), we define the smoothing PP Kolmogorov-Smirnov statistics and the smoothing PP Crámer-von Mises statistics based on one-dimensional projections. We demonstrate the Laws of the Iterated Logarithm (LIL) for the PP Kolmogorov-Smirnov statistics, the PP Crámer-von Mises statistics hold. The conditions and results of the LIL in this paper are same as those of the LIL in one-dimensional empirical processes.

There are no comments yet on this publication. Be the first to share your thoughts.