A class of strong convergence theorem for an arbitrarily adapted stochastic sequence without the non-decrease condition was established by using the truncation method of stochastic variables and the stop time.

 
  • 摘要引入了隨機變量的截尾和停時(shí)的概念,在定理條件及其證明過(guò)程中適當地定義隨機變量的截尾和停時(shí),并通過(guò)定義鞅差序列和利用鞅差序列的收斂定理,得到了一類(lèi)關(guān)于任意隨機適應序列的強收斂定理。
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