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Dissertation
Some stochastic properties of random classical and Carlitz compositions
Doctor of Philosophy (Ph.D.), Drexel University
May 2004
DOI:
https://doi.org/10.17918/etd-309
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.
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Details
- Title
- Some stochastic properties of random classical and Carlitz compositions
- Creators
- Boris Leonid Kheyfets - DU
- Contributors
- Pawel Hitczenko (Advisor) - Drexel University (1970-)
- Awarding Institution
- Drexel University
- Degree Awarded
- Doctor of Philosophy (Ph.D.)
- Publisher
- Drexel University; Philadelphia, Pennsylvania
- Resource Type
- Dissertation
- Language
- English
- Academic Unit
- College of Arts and Sciences; Drexel University; Mathematics
- Other Identifier
- 309; 991014632654804721