|  | 
			
             			 
		     | 摘要: | 
			 
		     | 在随机环境马氏链的研究领域,利用马氏链的性质,给出了双无限环境马氏环境马氏链的函数强大数定律推广成立的两个充分条件. | 
			
	         
				| 关键词:  随机环境  双无限环境  马氏环境  马氏链  强大数定律 | 
			 
                | DOI: | 
            
                | 分类号:O211.62 | 
			 
             
                | 基金项目: | 
          |  | 
           
                | Generalization of strong numbers for Markov Chains in double infinite environment | 
           
			
                | REN Min  WANG Zhi-pan | 
           
		   
             
                | Abstract: | 
			
                | The research field of Markov Chains in random environment is discussed.Two sufficient conditions of the generalization of strong number law of a function of Markov Chains in double infinite environment and Markov environment are given according to propert | 
	       
                | Key words:  random environment,double infinite environment,Markov environment,Markov Chains,strong number law |