Title of article :
Generalized barred preferential arrangements
Author/Authors :
A. Adell ، José Departamento de Métodos Estadı́sticos - Universidad Zaragoza , Bényi ، Beáta Department of Hydraulic Engineering - Faculty of Water Sciences - University of Public Service Baja , Murali ، Venkat Department of Mathematics - Rhodes University , Nkonkobe ، Sithembele Department of Mathematical Sciences - Sol Plaatje University
Abstract :
We investigate a generalization of Fubini numbers. We present the combinatorial interpretation as barred preferential arrangements with some additional conditions on the blocks. We provide a proof for a generalization of Nelsen’s Theorem. We consider these numbers from a probabilistic view point and demonstrate how they can be written in terms of the expectation of random descending factorial involving the negative binomial process.
Keywords :
barred preferential arrangements , generalized Stirling numbers , geometric polynomials , negative binomial process
Journal title :
Transactions on Combinatorics
Journal title :
Transactions on Combinatorics
