| 摘要: | 
			 
		     | 本文研究了非线性自回归模型的随机稳定性.通过建立恰当的Foster-Lyapunov条件,得到了非线性自回归模型几何非常返的充分条件. | 
			
	         
				| 关键词:  几何非常返  非线性自回归模型  Foster-Lyapunov条件 | 
			 
                | DOI: | 
            
                | 分类号:O211.62;O211.9 | 
			 
             
                | 基金项目:Supported by National Natural Science Foundation of China (11426219;11501576). | 
          |  | 
           
                | GEOMETRIC TRANSIENCE FOR NON-LINEAR AUTOREGRESSIVE MODELS | 
           
			
                | SONG Yan-hong | 
           
		   
		   
                | School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China | 
		   
             
                | Abstract: | 
			
                | In the paper, we study the stochastic stability for non-linear autoregressive models. By establishing an appropriate Foster-Lyapunov criterion, a sufficient condition for geometric transience is presented. | 
	       
                | Key words:  geometric transience  non-linear autoregressive model  Foster-Lyapunov criterion |