25,873 research outputs found
Confidence Bands for Distribution Functions: A New Look at the Law of the Iterated Logarithm
We present a general law of the iterated logarithm for stochastic processes
on the open unit interval having subexponential tails in a locally uniform
fashion. It applies to standard Brownian bridge but also to suitably
standardized empirical distribution functions. This leads to new
goodness-of-fit tests and confidence bands which refine the procedures of Berk
and Jones (1979) and Owen (1995). Roughly speaking, the high power and accuracy
of the latter procedures in the tail regions of distributions are essentially
preserved while gaining considerably in the central region
Large-N_c operator analysis of 2-body meson-baryon counterterms in the chiral Lagrangian
The chiral SU(3) Lagrangian with the baryon octet and decuplet fields is
considered. The Q^2 counterterms involving the decuplet fields are constructed.
We derive the correlation of the chiral parameters implied by the 1/N_c
expansion at leading order in QCD.Comment: 20 pages, 3 figure
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