Generally, it is not easy to find the exact tail-estimation for the distribution of the minimum value in partial sum sequence of a stationary ergodic Markov chain.
一般情况下对平稳遍历马尔可夫链部分和序列最小值分布进行精确尾估计是较困难的。
Once we could prove the equation(lim)n→∞S__n=S from dealing with the partialness sum {S__n} of the series ∑+∞[]n=0,the question will be solved.
利用对级数∑n=0an的部分和数列{Sn}进行各种变形处理,从而通过对求出nli→∞mSn=S,得到结论∑+∞,采用的做法有三角级数法、方程式法、子数列法,以及幂级数法。