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Using the Continuous Spectrum to “Feel” Integrability: the Effect of Boundary Conditions
Test model integrability partial differential differential difference equations of continuous spectrum
2014/12/29
The scope of this work is to propose a method for testing the integrability of a model partial differential (PDE) and/or differential difference equation (DDE). For monoparametric families of PDE/DDE’...
Properties of neutrality tests based on allele frequency spectrum
Coalescent theory Site frequency spectrum Population genetics Statistical power Summary statistics
2010/11/9
One of the main necessities for population geneticists is the availability of statistical tools that enable to accept or reject the neutral Wright-Fisher model with high power.
The spectrum of kernel random matrices
spectrum kernel random matrices high-dimensional statisticalinference
2010/3/9
We place ourselves in the setting of high-dimensional statistical
inference where the number of variables p in a dataset of interest is
of the same order of magnitude as the number of observations n...
The paper deals with the study of a family of spectrum
trimming operations. In terms of thed operations a characterization of
the Pruitt classes of limit laws is established.
Gaussian semiparametric estimation for random fields with singular spectrum
Discrete Fourier transforms random fields singular spectrum Whittle semiparametric estimates
2009/9/21
We analyze the asymptotic behaviour of the tapered
discrete Fourier transforms far random fields with singular spectrum.
The results are used to establish consistency and asymptotic normality
for s...