8 research outputs found
On right conjugacy closed loops of twice prime order
The right conjugacy closed loops of order 2p, where p is an odd prime, are
classified up to isomorphism.Comment: Clarified definitions, added some remarks and a tabl
Development of particle multiplicity distributions using a general form of the grand canonical partition function and applications to L3 and H1 Data
Various phenomenological models of particle multiplicity distributions are
discussed using a general form of a unified model which is based on the grand
canonical partition function and Feynman's path integral approach to
statistical processes. These models can be written as special cases of a more
general distribution which has three control parameters which are , ,
. The relation to these parameters to various physical quantities are
discussed. A connection of the parameter with Fisher's critical exponent
is developed. Using this grand canonical approach, moments, cumulants
and combinants are discussed and a physical interpretation of the combinants
are given and their behavior connected to the critical exponent . Various
physical phenomena such as hierarchical structure, void scaling relations, KNO
scaling features, clan variables, and branching laws are shown in terms of this
general approach. Several of these features which were previously developed in
terms of the negative binomial distribution are found to be more general. Both
hierarchical structure and void scaling relations depend on the Fisher exponent
. Applications of our approach to the charged particle multiplicity
distribution in jets of L3 and H1 data are given. It is shown that just looking
at the mean and fluctuation of data is not enough to distinguish these
distributions or the underlying mechanism. The mean, fluctuation and third
cummulant of distribution determine three parameters , , . We find
that a generalized random work model fits the data better than the widely used
negative binomial model.Comment: 7 figures include
Confidence bands from censored samples
Several types of asymptotic confidence bands have been proposed in the literature when the data are randomly censored on the right. Introducing new classes of bands, we place the old bands and their relationship to one another within a comprehensive theory of bands. A thorough analysis yields narrower bands and two kinds of modifications which are asymptotically distribution‐ and censor‐free. One of these is useful when the interval on which the bands are constructed is predetermined and the width of the bands is random; the other, when there is a predetermined bound on the width and the interval is random. We illustrate our bands on the Szeged pacemaker data. These methods also provide a general modification of the Kolmogorov band in the uncensored case. Copyrigh