DOAJ Open Access 2016

Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees

Weicai Peng Jie Liu Yongchao Hou Peishu Chen Jueping Bu

Abstrak

Abstract In this paper, a kind of infinite, local finite tree T, named a controlled tree, is introduced. Some strong limit properties, such as the strong law of large numbers and the asymptotic equipartition property, for nonhomogeneous Markov chains indexed by T, are established. The outcomes are the generalizations of some well-known results.

Topik & Kata Kunci

Mathematics

Penulis (5)

Weicai Peng

Jie Liu

Yongchao Hou

Peishu Chen

Jueping Bu

Format Sitasi

APA MLA BibTeX

Peng, W., Liu, J., Hou, Y., Chen, P., Bu, J. (2016). Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees. https://doi.org/10.1186/s13660-016-1019-y

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.1186/s13660-016-1019-y

Informasi Jurnal

Tahun Terbit: 2016
Sumber Database: DOAJ
DOI: 10.1186/s13660-016-1019-y
Akses: Open Access ✓