TL;DR
The paper introduces a generalized multinomial marking process and its multivariate extension involving re-marking, which relate to linear transformations of random vectors, broadening understanding of marking processes.
Contribution
It presents a new multivariate marking model with re-marking, extending the multinomial marking framework and analyzing its properties.
Findings
Multinomial marking generalizes binomial thinning.
Re-marking leads to properties similar to linear transformations.
The model provides a new perspective on marking and re-marking processes.
Abstract
A random number of items each independently marked with one of a collection of colours gives rise to the multinomial marking, which generalises binomial thinning. A multivariate version, where previously marked items are then re-marked, has similar properties to taking a linear transformation of a random vector.
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Taxonomy
TopicsQuasicrystal Structures and Properties · Theoretical and Computational Physics · Computational Geometry and Mesh Generation