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Efficient Emulators of Computer Experiments Using Compactly Supported Correlation Functions, With an Application to Cosmology
Efficient Emulators Correlation Functions Cosmology
2011/7/19
Statistical emulators of computer simulators have proven to be useful in a variety of applications. The widely adopted model for emulator building, using a Gaussian process model with strictly positiv...
Constrained probability distributions of correlation functions
cosmology gravitational lensing large scale structure of the Universe galaxies statistics Methods statistical
2011/6/21
Two-point correlation functions are used throughout cosmology as a measure for the statistics of random fields. When used
in Bayesian parameter estimation, their likelihood function is usually replac...
The Dagum family of isotropic correlation functions
Bernstein function completely monotonic function Dagum family isotropy logarithmically completely monotonic function Stieltjes transform
2010/4/29
A function : [0,∞)→(0, 1] is a completely monotonic function if and only if (kxk2) is positive definite on Rd for all d and thus it represents the correlation function of a weakly stationary and is...