115,774 research outputs found
The REFLEX Galaxy Cluster Survey VII: Omega_m and sigma_8 from cluster abundance and large-scale clustering
For the first time the large-scale clustering and the mean abundance of
galaxy clusters are analysed simultaneously to get precise constraints on the
normalized cosmic matter density and the linear theory RMS
fluctuations in mass . A self-consistent likelihood analysis is
described which combines, in a natural and optimal manner, a battery of
sensitive cosmological tests where observational data are represented by the
(Karhunen-Lo\'{e}ve) eigenvectors of the sample correlation matrix. This method
breaks the degeneracy between and . The cosmological tests
are performed with the ROSAT ESO Flux-Limited X-ray (REFLEX) cluster sample.
The computations assume cosmologically flat geometries and a non-evolving
cluster population mainly over the redshift range . The REFLEX sample
gives the cosmological constraints and their random errors of
and . Possible systematic errors are evaluated by estimating the
effects of uncertainties in the value of the Hubble constant, the baryon
density, the spectral slope of the initial scalar fluctuations, the mass/X-ray
luminosity relation and its intrinsic scatter, the biasing scheme, and the
cluster mass density profile. All these contributions sum up to total
systematic errors of and
.Comment: 10 pages, 7 figures, accepted for publication in Astronomy and
Astrophysic
Bayesian computation via empirical likelihood
Approximate Bayesian computation (ABC) has become an essential tool for the
analysis of complex stochastic models when the likelihood function is
numerically unavailable. However, the well-established statistical method of
empirical likelihood provides another route to such settings that bypasses
simulations from the model and the choices of the ABC parameters (summary
statistics, distance, tolerance), while being convergent in the number of
observations. Furthermore, bypassing model simulations may lead to significant
time savings in complex models, for instance those found in population
genetics. The BCel algorithm we develop in this paper also provides an
evaluation of its own performance through an associated effective sample size.
The method is illustrated using several examples, including estimation of
standard distributions, time series, and population genetics models.Comment: 21 pages, 12 figures, revised version of the previous version with a
new titl
Goodness-of-Fit Test: Khmaladze Transformation vs Empirical Likelihood
This paper compares two asymptotic distribution free methods for
goodness-of-fit test of one sample of location-scale family: Khmaladze
transformation and empirical likelihood methods. The comparison is made from
the perspective of empirical level and power obtained from simulations. When
testing for normal and logistic null distributions, we try various alternative
distributions and find that Khmaladze transformation method has better power in
most cases. R-package which was used for the simulation is available online.
See section 5 for the detail
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