A Note on the Closed-Form Solution for the Longest Head Run Problem of Abraham de Moivre
| dc.contributor.author | Malinovsky, Yaakov | |
| dc.date.accessioned | 2020-11-17T19:59:01Z | |
| dc.date.available | 2020-11-17T19:59:01Z | |
| dc.date.issued | 2021-10-11 | |
| dc.description.abstract | The problem of the longest head run was introduced and solved by Abraham de Moivre in the second edition of his book Doctrine of Chances (de Moivre, 1738). The closed-form solution as a finite sum involving binomial coefficients was provided in Uspensky (1937). Since then, the problem and its variations and extensions have found broad interest and diverse applications. Surprisingly, a very simple closed form can be obtained, which we present in this note. | en_US |
| dc.description.uri | https://link.springer.com/article/10.1007/s00283-021-10125-2 | en_US |
| dc.format.extent | 6 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.genre | preprints | |
| dc.identifier | doi:10.13016/m2rdf9-bexo | |
| dc.identifier.citation | Malinovsky, Yaakov. “A Note on the Closed-Form Solution for the Longest Head Run Problem of Abraham de Moivre.” The Mathematical Intelligencer 44, no. 3 (September 1, 2022): 267–68. https://doi.org/10.1007/s00283-021-10125-2. | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s00283-021-10125-2 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Springer Nature | |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.title | A Note on the Closed-Form Solution for the Longest Head Run Problem of Abraham de Moivre | en_US |
| dc.type | Text | en_US |