First neighbourhood of the diagonal, and geometric distributions

2002/06/07 by Anders Kock, Kock, Anders
Mathematics · #51K10 #58A03 #58A30 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:51K10 #msc:58A03 #msc:58A30

paper · pdf · doi:10.48550/arxiv.math/0206065

arxiv created 2002/06/07 · arxiv updated 2009/11/30

Abstract

We describe the geometric notion of distribution in synthetic terms, utilizing the notion of "first neighbourhood of the diagonal" from algebraic geometry. We characterize involutive distributions in combinatorial terms.

Related

• Weighted geometric distribution with a new characterisation of geometric distribution
• Characterizations of the Extended Geometric, Harris, Negative Binomial and Gamma Distributions
• On a geometric mean and power-law statistical distributions
• Telescoping Sums, Permutations, and First Occurrence Distributions
• Independence of Linear Statistics with Random Coefficients and Characterizations of Geometric and Poisson Distributions