%0 Journal Article
%T Generalized barred preferential arrangements
%J Transactions on Combinatorics
%I University of Isfahan
%Z 2251-8657
%A A. Adell, José
%A Bényi, Beáta
%A Murali, Venkat
%A Nkonkobe, Sithembele
%D 2023
%\ 03/01/2023
%V 12
%N 1
%P 47-63
%! Generalized barred preferential arrangements
%K barred preferential arrangements
%K generalized Stirling numbers
%K geometric polynomials
%K negative binomial process
%R 10.22108/toc.2022.130037.1894
%X 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.
%U https://toc.ui.ac.ir/article_26337_53dca73077c31cf7d02921c47a1f0b5d.pdf