Generalized barred preferential arrangements
MTMT : 34032577
Date : 2023
Journal title : Transactions on Combinatorics
Journal volume : 12
Journal issue number : 1
Pages : 47-63
Document type : folyóiratcikk
Subject : Természettudományok, Természettudományok/Matematika- és számítástudományok
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.