Manuscript

High-dimensional Sobolev tests on hyperspheres
We derive the limit null distribution of the class of Sobolev tests of uniformity on the hypersphere when the dimension and the sample …
Cite DOI
A family of toroidal diffusions with exact likelihood inference
We provide a class of diffusion processes for continuous time-varying multivariate angular data with explicit transition probability …
Cite DOI
A new flexible class of kernel-based tests of independence
Spherical and hyperspherical data are commonly encountered in diverse applied research domains, underscoring the vital task of …
Cite DOI
A note on the geodesic normal distribution on the sphere
This paper presents an alternative formulation of the geodesic normal distribution on the sphere, building on the work of Hauberg …
Cite DOI
Bootstrap confidence intervals: A comparative simulation study
Bootstrap is a widely used technique that allows estimating the properties of a given estimator, such as its bias and standard error. …
Cite DOI
Eigenvalues approximation of integral covariance operators with applications to weighted $L^2$ statistics
Finding the eigenvalues connected to the covariance operator of a centred Hilbert-space valued Gaussian process is genuinely considered …
Cite DOI
fsemipar: An R package for SoF semiparametric regression
Functional data analysis has become a tool of interest in applied areas such as economics, medicine, and chemistry. Among the …
Cite DOI
Kernel density estimation with polyspherical data and its applications
A kernel density estimator for data on the polysphere $\mathbb{S}^{d_1}\times\cdots\times\mathbb{S}^{d_r}$, with $r,d_1,\ldots,d_r\geq …
Cite DOI
Mode-based estimation of the center of symmetry
In the mean-median-mode triad of univariate centrality measures, the mode has been overlooked for estimating the center of symmetry in …
Cite DOI
On a class of Sobolev tests for symmetry of directions, their detection thresholds, and asymptotic powers
We consider a class of symmetry hypothesis testing problems including testing isotropy on $ℝ^d$ and testing rotational symmetry on the …
Cite DOI