Generalized barred preferential arrangements
نویسندگان
1 Department of Hydraulic Engineering, Faculty of Water Sciences, H-6500, Bajcsy-Zsilinszky utca 12–14, University of Public Service Baja, Hungary
2 Department of Mathematical Sciences, Sol Plaatje University, Kimberley, 8301, South Africa
3 Departamento de Métodos Estadı́sticos, Facultad de Ciencias, Universidad Zaragoza, C. de Pedro Cerbuna, 12, 50009, Zaragoza, Spain
4 Department of Mathematics, Rhodes University, Grahamstown, 6139, South Africa
doi
10.22108/toc.2022.130037.1894چکیده
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.
