A zero-redundancy estimator for the context tree weighting method with a finite window

A modification of the finite window context tree weighting (FWCTW) [H. Sakaguti, et al., 1997] lossless data compression algorithm is considered. First, we give an exposition of the basic framework of FWCTW. Next, we propose a zero-redundancy estimator for FWCTW and verify that our estimator, which is computed with finite precision actually encodes and decodes the data sequence.