Peng, Weicai; Xi, Xinyue Shannon-McMillan theorem and strong law of large numbers for Markov chains indexed by generalized spherically symmetric trees. (English) Zbl 07702523 Commun. Stat., Theory Methods 52, No. 8, 2562-2573 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{W. Peng} and \textit{X. Xi}, Commun. Stat., Theory Methods 52, No. 8, 2562--2573 (2023; Zbl 07702523) Full Text: DOI
Ding, Chengjun; Shi, Zhiyan; Yang, Weiguo The strong law of large numbers and Shannon-McMillan theorem for Markov chains indexed by an infinite tree with uniformly bounded degree in random environment. (English) Zbl 07531002 Commun. Stat., Theory Methods 50, No. 15, 3573-3585 (2021). MSC: 62-XX PDFBibTeX XMLCite \textit{C. Ding} et al., Commun. Stat., Theory Methods 50, No. 15, 3573--3585 (2021; Zbl 07531002) Full Text: DOI
Zhong, Pingping; Yang, Weiguo; Yang, Jie Strong law of large numbers of the delayed sums for Markov chains indexed by a Cayley tree. (English) Zbl 1511.60058 Commun. Stat., Theory Methods 49, No. 9, 2285-2294 (2020). MSC: 60F15 60J10 PDFBibTeX XMLCite \textit{P. Zhong} et al., Commun. Stat., Theory Methods 49, No. 9, 2285--2294 (2020; Zbl 1511.60058) Full Text: DOI
Huang, Huilin; Yang, Weiguo; Shi, Zhiyan The Shannon-McMillan theorem for Markov chains in Markovian environments indexed by homogeneous trees. (English) Zbl 1508.60075 Commun. Stat., Theory Methods 47, No. 21, 5286-5297 (2018). MSC: 60J10 60K35 60F15 PDFBibTeX XMLCite \textit{H. Huang} et al., Commun. Stat., Theory Methods 47, No. 21, 5286--5297 (2018; Zbl 1508.60075) Full Text: DOI
Dang, Hui The strong law of large numbers for non homogeneous M-bifurcating Markov chains indexed by a M-branch Cayley tree. (English) Zbl 1391.60052 Commun. Stat., Theory Methods 47, No. 9, 2110-2125 (2018). MSC: 60F15 60J10 PDFBibTeX XMLCite \textit{H. Dang}, Commun. Stat., Theory Methods 47, No. 9, 2110--2125 (2018; Zbl 1391.60052) Full Text: DOI
Peng, Weicai Conditional entropy, entropy density, and strong law of large numbers for generalized controlled tree-indexed Markov chains. (English) Zbl 1381.60079 Commun. Stat., Theory Methods 46, No. 23, 11880-11891 (2017). MSC: 60F15 60J10 PDFBibTeX XMLCite \textit{W. Peng}, Commun. Stat., Theory Methods 46, No. 23, 11880--11891 (2017; Zbl 1381.60079) Full Text: DOI
Shi, Zhiyan; Yang, Weiguo Strong laws of large numbers for the \(m\)th-order asymptotic odd-even Markov chains indexed by an \(m\)-rooted Cayley tree. (English) Zbl 1360.60070 Commun. Stat., Theory Methods 46, No. 4, 1855-1870 (2017). MSC: 60F15 60J10 PDFBibTeX XMLCite \textit{Z. Shi} and \textit{W. Yang}, Commun. Stat., Theory Methods 46, No. 4, 1855--1870 (2017; Zbl 1360.60070) Full Text: DOI
Huang, Huilin; Yang, Weiguo; Shi, Zhiyan Asymptotic equipartition property for second-order circular Markov chains indexed by a two-rooted Cayley tree. (English) Zbl 1379.60078 Commun. Stat., Theory Methods 46, No. 3, 1275-1289 (2017). MSC: 60J10 60C05 05C80 PDFBibTeX XMLCite \textit{H. Huang} et al., Commun. Stat., Theory Methods 46, No. 3, 1275--1289 (2017; Zbl 1379.60078) Full Text: DOI
Shi, Zhiyan; Yang, Weiguo The strong law of large numbers and the Shannon-McMillan theorem for the \(m\)th-order nonhomogeneous Markov chains indexed by an \(m\) rooted Cayley tree. (English) Zbl 1339.60024 Commun. Stat., Theory Methods 45, No. 7, 2045-2055 (2016). MSC: 60F15 60J10 PDFBibTeX XMLCite \textit{Z. Shi} and \textit{W. Yang}, Commun. Stat., Theory Methods 45, No. 7, 2045--2055 (2016; Zbl 1339.60024) Full Text: DOI
Hudgens, Michael G.; Kim, Hae-Young Optimal configuration of a square array group testing algorithm. (English) Zbl 1208.62115 Commun. Stat., Theory Methods 40, No. 3, 436-448 (2011). MSC: 62K05 62P10 PDFBibTeX XMLCite \textit{M. G. Hudgens} and \textit{H.-Y. Kim}, Commun. Stat., Theory Methods 40, No. 3, 436--448 (2011; Zbl 1208.62115) Full Text: DOI Link