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Testing and Estimating Ratios of Scale Parameters

 

作者: GalenR. Shorack,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1969)
卷期: Volume 64, issue 327  

页码: 999-1013

 

ISSN:0162-1459

 

年代: 1969

 

DOI:10.1080/01621459.1969.10501032

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

LetX1, …,XmandY1, …,Ynbe independent random samples from populations having continuous d.f.'s Ψ((x-μ)/σ) and Ψ ((y-v)/τ) respectively. The classicalF-test of a hypothesis concerning λ = τ/σ is known to be non-robust. This paper examines several robust alternative procedures and compares them on the basis of Pitman a.r.e. and Monte Carlo studies of power functions. An approximate permutation test [13] and a “jackknife” procedure [9] are found to be most satisfactory; while a class of “rank-like” tests [10] are found to be “useful inefficient statistics”

 

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