Nonparametric Estimation of Ratio of Scale Parameters
作者:
HelenT. Bhattacharyya,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1977)
卷期:
Volume 72,
issue 358
页码: 459-463
ISSN:0162-1459
年代: 1977
DOI:10.1080/01621459.1977.10481021
出版商: Taylor & Francis Group
关键词: Nonparametric;Ansari-Bradley test;Hodges-Lehmann procedures;Comparison of scale parameters
数据来源: Taylor
摘要:
LetX1, …,XmandY1, …,Ynbe independent random variables from two continuous distributionsF(σ1−1(x−v)) andF(σ2−1(x− η)), respectively, where ν and η are medians and σ1and σ2are scale parameters. Explicit forms of estimators of the ratio of scale parameters are obtained based on Ansari-Bradley, modified Ansari-Bradley, Siegel-Tukey, and modified Sukhatme tests. In the case where the Ansari-Bradley test is used, the limiting distribution of the estimator is obtained, assuming ν, η known or unknown. Numerical examples and a graphical method for obtaining the estimates are also given.
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