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Some stochastic properties of random classical and Carlitz compositions
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http://hdl.handle.net/1860/309
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| Title: | Some stochastic properties of random classical and Carlitz compositions |
| Authors: | Kheyfets, Boris Leonid |
| Keywords: | Mathematics and computer science
Stochastic processes
Combinatorial analysis |
| Issue Date: | 10-Jun-2004 |
| Abstract: | Several stochastic parameters of random classical and Carlitz (adjacent parts are different) compositions of integer n are considered. An exact formula is obtained for the average multiplicity and the variance of the multiplicity of a given part size in the classical case. Furthermore, an asymptotic estimate of the average number of distinct part sizes of a given multiplicity for Carlitz compositions is established. An extension of the Problem of Wilf to the Carlitz case is also presented. |
| URI: | http://dspace.library.drexel.edu/handle/1860/309 |
| Appears in Collections: | Drexel Theses and Dissertations
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