Testing circular symmetry

By Arthur Pewsey. 2002

71 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Environmental Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/8d8bab98c9e6b825f8db3bf00b78edaeedf1dac0

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In Artificial Intelligence

In Environmental Engineering

In Statistics and Probability

Citations in the corpus

A Family of Distributions on the Circle With Links to, and Applications Arising From, Möbius Transformation (2010, background): “The residuals appear to be asymmetrically distributed; however, the large-sample test of circular symmetry of Pewsey (2002) leads to the statistic T = b2/ √ v̂ar(b2) = −1.70, with P(|T| ≥ 1.70) 0.0891; similar p-values arise from bootstrap and randomization versions of the test.”
New Families of Wrapped Distributions for Modeling Skew Circular Data (2004, methodology): “Pewsey (2002) considered grouped data on the frequencies of thunder during various times of the day recorded at Kew (England) during the summers of 1910–1935 (see Table 1.3 in Mardia, 1972).”
On Optimal Tests for Rotational Symmetry Against New Classes of Hyperspherical Distributions (2017, methodology): “…about a specified θ have been considered by Schach (1969), using a linear rank test, and Mardia and Jupp (2000), using sign-based statistics, whereas Pewsey (2002) introduced a test based on second-order trigonometric moments for unspecified θ. Ley and Verdebout (2014) and Meintanis and Verdebout…”
Sine-skewed circular distributions (2011, methodology): “Unsurprisingly, symmetry of the underlying distribution is rejected outright for these data by the test of Pewsey (2002) ( p-value = 0.0010).”
A tractable, parsimonious and flexible model for cylindrical data, with applications (2015, background): “Moreover, [11] have shown that, on basis of the Pewsey test of symmetry (see [16]), the circular part of the data is asymmetric.”