5 papers
Spatial constraints improve filtering of measurement noise from animal tracks
Alexandre Delporte, Susanne Ditlevsen, Adeline Samson
Advances in tracking technologies for animal movement require new statistical tools to better exploit the increasing amount of data. Animal positions are usually calculated using t…
Strang splitting estimator for nonlinear multivariate stochastic differential equations with Pearson-type multiplicative noise
Predrag PilipoviÄ, Adeline Samson, Susanne Ditlevsen
Multivariate Pearson diffusions are characterized by a linear drift and a diffusion matrix that is quadratic in the state variables. We derive closed-form expressions for the mean…
A time warping model for seasonal data with application to age estimation from narwhal tusks
Lars Nørtoft Reiter, Adam Gorm Hoffmann, Mads Peter Heide-Jørgensen +3
Signals with varying periodicity frequently appear in real-world phenomena, necessitating the development of efficient modelling techniques to map the measured nonlinear timeline t…
Varying coefficients correlated velocity models in complex landscapes with boundaries applied to narwhal responses to noise exposure
Alexandre Delporte, Susanne Ditlevsen, Adeline Samson
Narwhals in the Arctic are increasingly exposed to human activities that can temporarily or permanently threaten their survival by modifying their behavior. We examine GPS data fro…
Strang Splitting for Parametric Inference in Second-order Stochastic Differential Equations
Predrag Pilipovic, Adeline Samson, Susanne Ditlevsen
We address parameter estimation in second-order stochastic differential equations (SDEs), which are prevalent in physics, biology, and ecology. The second-order SDE is converted to…