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Generalized Barred Preferential Arrangements | ||
| Transactions on Combinatorics | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 11 اسفند 1390 اصل مقاله (481.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2022.130037.1894 | ||
| نویسندگان | ||
José A. Adell1؛ Beáta Bényi2؛ Venkat Murali3؛ Sithembele Nkonkobe  4
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| 1Departamento de Métodos Estadı́sticos, Facultad de Ciencias, Universidad Zaragoza, C. de Pedro Cerbuna, 12, 50009, Zaragoza, Spain | ||
| 2Faculty of Water Sciences, University of Public Service, Budapest, Hungary | ||
| 3Department of Mathematics, Rhodes University, Grahamstown, 6139, South Africa | ||
| 4Department of Mathematical Sciences, Sol Plaatje University, Kimberley, 8301, South Africa | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| barred preferential arrangements؛ generalized Stirling numbers؛ geometric polynomials؛ negative binomial process | ||
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آمار تعداد مشاهده مقاله: 48 تعداد دریافت فایل اصل مقاله: 56 |
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