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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Bibliographic Details
Main Author:	Don Rawlings
Format:	Article
Language:	English
Published:	Hindawi Limited 1992-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	permutation statistics probability measure binary free statistics and multi-permutations.
Online Access:	http://dx.doi.org/10.1155/S0161171292000371

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spelling	doaj-5d06eb6068a54671be84eb53bd6413ca2020-11-25T00:29:25ZengHindawi LimitedInternational 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.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Don Rawlings
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.
author_facet	Don Rawlings
author_sort	Don Rawlings
title	Bernoulli trials and permutation statistics
title_short	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_sort	bernoulli trials and permutation statistics
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1992-01-01
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.
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
_version_	1725331387620261888

Bernoulli trials and permutation statistics

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