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of 7
pro vyhledávání: '"Vergara, Ricardo Carrizo"'
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 statistical ecology, our models exploit the explicit connection between mo
Externí odkaz:
http://arxiv.org/abs/2407.13384
Autor:
Vergara, Ricardo Carrizo
In this work we study the self-integral of a function-measure kernel and its importance on stochastic integration. A continuous-function measure kernel $K$ over $D \subset \mathbb{R}^{d}$ is a function of two variables which acts as a continuous func
Externí odkaz:
http://arxiv.org/abs/2303.04282
Autor:
Vergara, Ricardo Carrizo
Given an orthonormal system of $L^{2}(D)$ consistent of continuous functions $(f_{n})_{n}$, with $D \subset \mathbb{R}^{d}$ compact, and given a sequence of strictly positive coefficients $(\lambda_{n})_{n}$ forming a convergent series, we prove that
Externí odkaz:
http://arxiv.org/abs/2208.14779
Autor:
Vergara, Ricardo Carrizo
We present an orthogonal expansion for real regular second-order finite random measures over $\mathbb{R}^{d}$. Such expansion, which may be seen as a Karhunen-Lo\`eve decomposition, consists in a series expansion of deterministic real finite measures
Externí odkaz:
http://arxiv.org/abs/2203.14202
Autor:
Vergara, Ricardo Carrizo
In this work we study first-order linear parabolic evolution PDEs over $\mathbb{R}^{d}\times\mathbb{R}$ and $\mathbb{R}^{d}\times\mathbb{R}^{+}$ comprising a spatial operator defined through a symbol function and a source term such that its spatial F
Externí odkaz:
http://arxiv.org/abs/1906.04145
This paper presents theoretical advances in the application of the Stochastic Partial Differential Equation (SPDE) approach in geostatistics. We show a general approach to construct stationary models related to a wide class of linear SPDEs, with appl
Externí odkaz:
http://arxiv.org/abs/1806.04999
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