我们从累次极限换序定理出发来综合讨论分析运算换序定理，以便对这类问题有较为深刻的认识。
In this paper, starting from order exchange theorem of repeated limits, we synthetically discuss the above problems in order to understand them deeply.
本文的目的是要给出关于可列非齐次马尔可夫链M元状态序组出现频率的一类新形式的强极限定理，所得结论对任意可列非齐次马尔可夫链普遍成立。
The purpose of this paper is to present a class of new strong limit theorems on the frequency ofm-tuple of states for arbitrary countable non-homogeneous Markov chains.
利用一致极限概念，建立了累次极限的几类换序条件，得到若干结果。
By using the concept of uniform limit, several conditions for exchanging order of repeated limit were established and several results were also acquired.
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