Bernoulli trials and permutation statistics

Several coin-tossing games are surveyed which, in a natural way, give rise to statistically induced probability measures on the set of permutations of {1,2,…,n} and on sets of multipermutations. The distributions of a general class of random variables known as binary tree statistics are also given....

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Main Author: Don Rawlings
Format: Article
Language:English
Published: Wiley 1992-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171292000371
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author Don Rawlings
author_facet Don Rawlings
author_sort Don Rawlings
collection DOAJ
description Several coin-tossing games are surveyed which, in a natural way, give rise to statistically induced probability measures on the set of permutations of {1,2,…,n} and on sets of multipermutations. The distributions of a general class of random variables known as binary tree statistics are also given.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1992-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-5d06eb6068a54671be84eb53bd6413ca2025-08-20T03:34:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115229131110.1155/S0161171292000371Bernoulli trials and permutation statisticsDon Rawlings0Mathematics Department, California Polytechnic State University, San Luis Obispo 93407, CA, USASeveral coin-tossing games are surveyed which, in a natural way, give rise to statistically induced probability measures on the set of permutations of {1,2,…,n} and on sets of multipermutations. The distributions of a general class of random variables known as binary tree statistics are also given.http://dx.doi.org/10.1155/S0161171292000371permutation statisticsprobability measurebinary free statistics and multi-permutations.
spellingShingle Don Rawlings
Bernoulli trials and permutation statistics
International Journal of Mathematics and Mathematical Sciences
permutation statistics
probability measure
binary free statistics and multi-permutations.
title Bernoulli trials and permutation statistics
title_full Bernoulli trials and permutation statistics
title_fullStr Bernoulli trials and permutation statistics
title_full_unstemmed Bernoulli trials and permutation statistics
title_short Bernoulli trials and permutation statistics
title_sort bernoulli trials and permutation statistics
topic permutation statistics
probability measure
binary free statistics and multi-permutations.
url http://dx.doi.org/10.1155/S0161171292000371
work_keys_str_mv AT donrawlings bernoullitrialsandpermutationstatistics