3 papers
cs.IT2018
The distributions of sliding block patterns in finite samples and the inclusion-exclusion principles for partially ordered sets
Hayato Takahashi
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 in…
cs.IT2011
Weak randomness and Kamae's theorem on normal numbers
Hayato Takahashi
A function from sequences to their subsequences is called selection function. A selection function is called admissible (with respect to normal numbers) if for all normal numbers,…
cs.IT2011
Some limits to nonparametric estimation for ergodic processes
Hayato Takahashi
A new negative result for nonparametric distribution estimation of binary ergodic processes is shown. The problem of estimation of distribution with any degree of accuracy is studi…