Journal article
PART-PRODUCTS OF S-RESTRICTED INTEGER COMPOSITIONS
Applicable analysis and discrete mathematics, v 7(1), pp 51-71
01 Apr 2013
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Abstract
If S is a cofinite set of positive integers, an "S-restricted composition of n" is a sequence of elements of S, denoted (lambda) over right arrow = (lambda(1), lambda(2), . . .), whose sum is n. For uniform random S-restricted compositions, the random variable B((lambda) over right arrow) = Pi(i) lambda(i) is asymptotically lognormal. (A precise statement of the theorem includes an error term to bound the rate of convergence.) The proof is based upon a combinatorial technique for decomposing a composition into a sequence of smaller compositions.
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Details
- Title
- PART-PRODUCTS OF S-RESTRICTED INTEGER COMPOSITIONS
- Creators
- Eric Schmutz - Drexel UniversityCaroline Shapcott - Indiana University South Bend
- Publication Details
- Applicable analysis and discrete mathematics, v 7(1), pp 51-71
- Publisher
- Univ Belgrade, Fac Electrical Engineering
- Number of pages
- 21
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000315982400004
- Scopus ID
- 2-s2.0-84874993789
- Other Identifier
- 991019169367304721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied