|
|
Strong law of large numbers for asymptotic circular second order Markov chains |
1.Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China; 2.Tianhua College, Shanghai Normal University, Shanghai 201800, China) |
|
|
Abstract The strong limit theorem of special nonhomogeneous Markov chains—asymptotic circular second order Markov chains was studied. Firstly, the definition of asymptotic circular second order Markov chains was introduced. Then according to the limit property of nonhomogeneous Markov chains ternary functions, the strong limit theorem of asymptotic circular second order Markov chains for states occurrence frequencies was established. Finally, the strong large numbers law of asymptotic circular second order Markov chains for states occurrence frequencies was obtained. The strong law of large numbers for second order nonhomogeneous Markov chains was extended as a corollary. The strong large numbers law for asymptotic circular second order Markov chains can be used for the source coding theory.
|
|
|
|
|
|
|
|