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Large deviations in quantum lattice systems: One-phase region
Gibbs - KMS quantum spin systems Fermi gases
2014/12/29
We give large deviation upper bounds, and discuss lower bounds, for the Gibbs-KMS state of a system of quantum spins or an interacting Fermi gas on the lattice. We cover general interactions and gener...
Asymptotics and optimal bandwidth selection for highest density region estimation
Density contour density level set kernel density estimator
2010/10/14
We study kernel estimation of highest-density regions (HDR). Our main contributions are two-fold. First, we derive a uniform-in-bandwidth asymptotic approximation to a risk that is appropriate for HD...
A comparison of parametric models for mortality graduation. Application to mortality data for the Valencia Region （Spain）
Gompertz-Makeham functions Heligman and Pollard’s laws parametric graduation
2009/2/23
The parametric graduation of mortality data has as its objective the satisfactory estimation of the death rates based on mortality data but using an age-dependent function whose parameters are adjuste...
Objective Bayesian point and region estimation in location-scale models
Confidence Intervals Credible Regions Decision Theory Intrinsic Discrepancy Intrinsic Loss Location-Scale Models Noninformative Prior Reference Analysis Region Estimation Point Estimation
2009/2/23
Point and region estimation may both be described as specific decision problems. In point estimation,the action space is the set of possible values of the quantity on interest; in region estimation, t...