具有Markov切换的脉冲递归过程的Levy逼近
Levy Approximation of Impulsive Recurrent Process with Markov Switching
摘要：
本文证明了在Levy逼近格式下具有Markov切换的脉冲递归过程的弱收敛性。对于相对紧性，R. Liptser的半鞅是用修改，其中我们申请的解决方案的奇异扰动问题，而不是一个遍历定理。
英文摘要：
In this paper, the weak convergence of impulsive recurrent process with Markov switching in the scheme of Levy approximation is proved. For the relative compactness, a method proposed by R. Liptser for semimartingales is used with a modification, where we apply a solution of a singular perturbation problem instead of an ergodic theorem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
