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A Central Limit Theorem for the Sum of Generalized Linear and Quadratic Forms

 

作者: R. L. Eubank,   Suojin Wang,  

 

期刊: Statistics  （Taylor Available online 1999）
卷期: Volume 33, issue 1  

页码: 85-91

 

ISSN:0233-1888

 

年代: 1999

 

DOI:10.1080/02331889908802683

 

出版商: Gordon & Breach Science Publishers

 

关键词: Central limit theorem;dependent sum;generalized quadratic;forms;linear forms

 

数据来源: Taylor

 

摘要:

A central limit theorem is established for the sum of stochastically dependent generalized linear and quadratic forms which is often seen in statistical applications. It is shown that a mild correlation type condition is sufficient to ensure that Liapounoff type conditions on the linear and quadratic forms individually will imply asymptotic normality of their sum.

 

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