Optimal R-estimation of a spherical location
نویسندگان
چکیده
منابع مشابه
Optimal R-Estimation of a Spherical Location
In this paper, we provide R-estimators of the location of a rotationally symmetric distribution on the unit sphere of R. In order to do so we first prove the local asymptotic normality property of a sequence of rotationally symmetric models; this is a non standard result due to the curved nature of the unit sphere. We then construct our estimators by adapting the Le Cam one-step methodology to ...
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We tackle the classical two-sample spherical location problem for directional data by having recourse to the Le Cam methodology, habitually used in classical “linear” multivariate analysis. More precisely we construct locally and asymptotically optimal (in the maximin sense) parametric tests, which we then turn into semi-parametric ones in two distinct ways. First, by using a studentization arg...
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ژورنال
عنوان ژورنال: Statistica Sinica
سال: 2013
ISSN: 1017-0405
DOI: 10.5705/ss.2011.206