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Sequential estimation for the parameters of a stationary auto regressive model

 

作者: Sangyeol Lee,  

 

期刊: Sequential Analysis  (Taylor Available online 1994)
卷期: Volume 13, issue 4  

页码: 301-317

 

ISSN:0747-4946

 

年代: 1994

 

DOI:10.1080/07474949408836311

 

出版商: Marcel Dekker, Inc.

 

关键词: Sequential estimation;fixed accuracy confidence set;asymptotic risk eficiency;stationary autoregressive process

 

数据来源: Taylor

 

摘要:

This paper considers the problem of sequential point estimation and fixed accuracy confidence set procedures of autoregressive parameters in a ρ-th order stationary autoregressive model. The sequential estimator proposed here is based on the least squares estimator and is shown to be risk efficient as the cost of estimation error tends to infinity. Furthermore, the proposed procedure for fixed-width confidence set is shown to be both asymptotically consistent and asymptotically efficient as the width approaches zero.

 

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