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SB-robust estimators of the parameters of the wrapped normal distribution
(Communications in Statistics: Theory & Methods, 2013)
In this article, we study the SB-robustness of various estimators of the mean direction (μ) and the concentration parameter (ρ) of the wrapped normal distribution. The functional corresponding to the sample mean direction ...
SB-robustness of directional mean for circular distributions
(2011-09-07)
In this paper we study the robustness of the directional mean (a.k.a. circular mean) for
different families of circular distributions. We show that the directional mean is robust
in the sense of finite standardized gross ...
Note on Robust Statistical Methods
(2010-09-02)
In this note we introduce the notion of robustness which plays an important role in real life analysis of data. Two robust estimates of location, namely the trimmed mean and the M-estimation are discussed. The Influence ...
SB-robust estimator for the concentration parameter of the circular normal distribution
(Statistical Papers, 2012)
In this paper we discuss robust estimation of the concentration parameter ( κ) of the circular normal (CN) distribution. It is known that the MLE of the concentration parameter is not B-robust at the family of all circular ...
Robustness of tests for directional mean
(Taylor & Francis, 2015)
In this paper we study the robustness of the likelihood ratio, circular mean and circular trimmed mean test functionals in the context of tests of hypotheses regarding the mean direction of circular normal and wrapped ...
SB-robust estimation of mean direction for some new circular distributions
(Springer, 2016)
The most often used distribution for modelling directional data has been the
circular normal (CN) (a.k.a. von-Mises) distribution. Recently Kato and Jones (K–J)
introduced a family of distribution which includes the CN ...