Existence of an Unbiased Consistent Entropy Estimator for the Special Bernoulli Measure

Let \(\Omega = A^N\) - be a space of right-sided infinite sequences drawn from a finite alphabet \(A = \{0,1\}\), \(N = {1,2,\dots} \), \[\rho(\boldsymbol{x},\boldsymbol{y}) = \sum_{k=1}^{\infty}|x_{k} - y_{k}|2^{-k} \] - a metric on \(\Omega\), and \(\mu\) - a probability measure on \(\Omega\). Let...

Full description

Bibliographic Details
Main Author: Evgeniy A. Timofeev
Format: Article
Language:English
Published: Yaroslavl State University 2019-06-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/1217