通过对QBD过程某些条件的限定，应用马尔可夫更新定理，得出在一定合理的条件下，当水平趋于无穷时的尾概率的几何衰变。
Applying the Markov renewal theorem, it is shown that certain reasonable conditions of the QBD process lead to the geometric decay of the tail probabilities as the level goes to infinity.
主要研究任意随机序列在随机选择系统中的随机条件概率其调和平均的强极限定理。
The strong limit theorems on the arbitrary stochastic convergence for the harmonic mean of the random conditional probabilities in the random selection system is studied.
研究了函数序列关于弱收敛概率测度序列积分的极限定理，给出了概率测度弱收敛的若干新的等价条件，得到了期望泛函序列上图收敛的一个充分条件。
Some new equivalent conditions of weak convergence of probability measure are presented and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.
研究了函数序列关于弱收敛概率测度序列积分的极限定理，给出了概率测度弱收敛的若干新的等价条件，得到了期望泛函序列上图收敛的一个充分条件。
Some new equivalent conditions of weak convergence of probability measure are presented and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.
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