This paper introduces a multivariate circular–linear (or poly-cylindrical) distribution obtained
by combining the projected and the skew-normal. We show the flexibility of our proposal, its …

We consider modeling of angular or directional data viewed as a linear variable wrapped
onto a unit circle. In particular, we focus on the spatio-temporal context, motivated by a …

This article gives a comprehensive theoretical framework to the modeling, inference, and
applications of Gaussian random fields using what we term the hypertorus as an index set …

We consider Gaussian random fields on the product of spheres. We study the regularity and
the Hölder continuity of such random fields via their covariance function. Moreover, we …

The paper deals with multivariate Gaussian random fields defined over generalized product
spaces that involve the hypertorus. The assumption of Gaussianity implies the finite …

Floods caused by a confluence of forcing mechanisms, known as compound floods, are a
hazard of increasing importance and visibility. In many areas of the coastal zone, the …

In this paper, we propose a discrete circular distribution obtained by extending the wrapped
Poisson distribution. This new distribution, the Invariant Wrapped Poisson (IWP), enjoys …

We introduce a new multivariate circular linear distribution suitable for modeling direction
and speed in (multiple) animal movement data. To properly account for specific data …

Circular data arise naturally in many scientific fields, for example oceanography (wave
directions), meteorology (wind directions), biology (animal movement). Due to the circular …