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Let be an affine Weyl group, and let be a left, right, or two-sided Kazhdan-Lusztig cell in . Let be the set of all reduced expressions of elements of , regarded as a formal language in the sense of t...
On the arrangement of cells in planar STIT and Poisson line tessellations
Mark-correlation function neighbourhood of typical cell pair-correlation function Poisson line tessellation random tessellation spatial statistics STIT tessellation stochastic geometry
2011/6/21
It is well known that the distributions of the interiors of the typical cell of a
Poisson line tessellation and a STIT tessellation with the same parameters coincide.
In this paper, differences in t...
Bayesian Identification of Differential Gene Expression Induced by Metals in Human Bronchial Epithelial Cells
Bayesian latent variables MCMC dierential expression hierarchical model microarray macroarray toxicology model selection
2009/9/21
The study of genetics continues to advance dramatically with the
development of microarray technology. In light of the advancements, interesting
statistical challenges have arisen. Given that only o...
Maxima of the cells of an equiprobable multinomial
multinomial random vectors equiprobable cell independent interest
2009/3/23
Consider a sequence of multinomial random vectors with increasing number of equiprobable cells. We show that if the number of trials increases fast enough, the sequence of maxima of the cells after a ...
Algebraic Bayesian analysis of contingency tables with possibly zero-probability cells
Algebraic statistics Bayes factor Compatible priors Exponential family Log-linear model Model-instance
2010/4/27
In this paper we consider a Bayesian analysis of contingency tables allowing
for the possibility that cells may have probability zero. In this sense we
depart from standard log-linear modeling that ...