The distributions of sliding block patterns in finite samples and the inclusion-exclusion principles for partially ordered sets
Information Theory
2019-02-13 v2 math.IT
Abstract
In this paper we show the distributions of sliding block patterns for Bernoulli processes with finite alphabet, which is not based on the induction on sample size. We show a new inclusion-exclusion formula in multivariate generating function form on partially ordered sets, and show a simpler expression of generating functions of the number of pattern occurrences in finite samples. We show higher moments of the sliding block patterns and power of tests based on sliding block patterns.
Keywords
Cite
@article{arxiv.1811.12037,
title = {The distributions of sliding block patterns in finite samples and the inclusion-exclusion principles for partially ordered sets},
author = {Hayato Takahashi},
journal= {arXiv preprint arXiv:1811.12037},
year = {2019}
}
Comments
Probability Symposium 2018 RIMS K\^oky\^uroku