3 papers
stat.AP2024
Movement-based models for abundance data
Ricardo Carrizo Vergara, Marc Kéry, Trevor Hefley
We develop two statistical models for space-time abundance data based on a stochastic underlying continuous individual movement. In contrast to current models for abundance in stat…
math.PR2023
Function-measure kernels, self-integrability and uniquely-defined stochastic integrals
Ricardo Carrizo Vergara
In this work we study the self-integral of a function-measure kernel and its importance on stochastic integration. A continuous-function measure kernel over $D \subset \mathbb{…
math.FA2022
Necessary and sufficient conditions for a family of continuous functions to form a Karhunen-Loève basis
Ricardo Carrizo Vergara
Given an orthonormal system of consistent of continuous functions , with compact, and given a sequence of strictly positive coeff…