AUTHOR=Qin Ximei , Rui Zhaobiao , Chen Shu , Peng Weicai TITLE=Small deviation properties concerning arrays of non-homogeneous Markov information sources JOURNAL=Frontiers in Physics VOLUME=11 YEAR=2023 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1156610 DOI=10.3389/fphy.2023.1156610 ISSN=2296-424X ABSTRACT=

In this study, we first define the logarithmic likelihood ratio as a measure between arbitrary generalized information sources and non-homogeneous Markov sources and then establish a class of generalized information sources for small deviation theorems, strong limit theorems, and the asymptotic equipartition property. The present outcomes generalize some existing results.