5,284,187 research outputs found
Notes on sum-tests and independence tests
We study statistical sum-tests and independence tests, in particular for computably enumerable semimeasures on a discrete domain. Among other things, we prove that for universal semimeasures every Sigma0/1-sum-test is bounded, but unbounded Pi0/1-sum-tests exist, and we study to what extent the latter can be universal. For universal semimeasures, in the unary case of sum-test we leave open whether universal Pi0/1-sum-tests exist, whereas in the binary case of independence tests we prove that they do not exist
Electroweak Precision Tests
Precision measurements of electroweak observables provide stringent tests of
the Standard Model structure and an accurate determination of its parameters.
An overview of the present experimental status is presented.Comment: 11 pages, 9 figures. Invited talk at the International Workshop
``Particles in Astrophysics and Cosmology: from Theory to Observation''
(Valencia, 3-8 May 1999
Tests of Gaussianity
We review two powerful methods to test the Gaussianity of the cosmic
microwave background (CMB): one based on the distribution of spherical wavelet
coefficients and the other on smooth tests of goodness-of-fit. The spherical
wavelet families proposed to analyse the CMB are the Haar and the Mexican Hat
ones. The latter is preferred for detecting non-Gaussian homogeneous and
isotropic primordial models containing some amount of skewness or kurtosis.
Smooth tests of goodness-of-fit have recently been introduced in the field
showing some interesting properties. We will discuss the smooth tests of
goodness-of-fit developed by Rayner and Best for the univariate as well as for
the multivariate analysis.Comment: Proceedings of "The Cosmic Microwave Background and its
Polarization", New Astronomy Reviews, (eds. S. Hanany and K.A. Olive), in
pres
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