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Extended stirling family of discrete probability distributions |
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| Authors: | kazuo Nishimura Masaaki sibuya |
| Institution: | 1. Dept.Bus.Admin , Kamazawa University , Kamazwa 1. Seuagaya-Ku, Tokyo, 154, JAPAN E-mail: nishimura@math.kejo.ae.jp;2. Takachiho University of Commerce , Kamazwa 1. Seuagaya-Ku, Tokyo, 154, JAPAN E-mail: nishimura@math.kejo.ae.jp |
| Abstract: | In this paper. introduced is a family of discrete probability distributions. whose probability function includes explieitly the Striling-Carlitz polynomial of the first or the second kind. The new family extends the stirling family of distributions. Sibuya (1988) includes the conditional distributions of the orginal ones and enlarges the application area. |
| Keywords: | collisions coupon collecting new records occupancy random partitions Stirling numbers Striling-Carlitz polynomials urn models |