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Found 8 papers, 5 papers with code
A Cramér-von Mises test of uniformity on the hypersphere
Testing uniformity of a sample supported on the hypersphere is one of the first steps when analysing multivariate data for which only the directions (and not the magnitudes) are of interest.
Methodology 62H11, 62H15
On a projection-based class of uniformity tests on the hypersphere
We propose a projection-based class of uniformity tests on the hypersphere using statistics that integrate, along all possible directions, the weighted quadratic discrepancy between the empirical cumulative distribution function of the projected data and the projected uniform distribution.
Methodology Statistics Theory Statistics Theory 62H11, 62H15
Recent advances in directional statistics
Mainstream statistical methodology is generally applicable to data observed in Euclidean space.
Methodology 62H11
A goodness-of-fit test for the functional linear model with functional response
The Functional Linear Model with Functional Response (FLMFR) is one of the most fundamental models to asses the relation between two functional random variables.
Methodology 62G10, 62J05, 62G09
Discounted optimal stopping of a Brownian bridge, with application to American options under pinning
Mathematically, the execution of an American-style financial derivative is commonly reduced to solving an optimal stopping problem.
An overview of uniformity tests on the hypersphere
When modeling directional data, that is, unit-norm multivariate vectors, a first natural question is to ask whether the directions are uniformly distributed or, on the contrary, whether there exist modes of variation significantly different from uniformity.
Methodology 62H11, 62H15
Distance weighted discrimination of face images for gender classification
We illustrate the advantages of distance weighted discrimination for classification and feature extraction in a High Dimension Low Sample Size (HDLSS) situation.
On optimal tests for rotational symmetry against new classes of hyperspherical distributions
We prove that each test is locally asymptotically maximin, in the Le Cam sense, for one kind of the alternatives given by the new classes of distributions, both for specified and unspecified symmetry axis.
Methodology 62H11, 62H15, 62H05
