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.
杨卫国, 汤莹. 第32卷渐近循环二阶马氏链的强大数定律[J]. 江苏大学学报（自然科学版）, 2011, 32(3): 369-372.
YANG Weiguo, TANG Ying. Strong law of large numbers for asymptotic circular second order Markov chains[J]. Journal of Jiangsu University(Natural Science Eidtion)
, 2011, 32(3): 369-372.
2011, Vol. 32 
