A winner's mean earnings in lottery and inverse moments of the binomial distribution (Q609695)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A winner's mean earnings in lottery and inverse moments of the binomial distribution |
scientific article; zbMATH DE number 5822150
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A winner's mean earnings in lottery and inverse moments of the binomial distribution |
scientific article; zbMATH DE number 5822150 |
Statements
A winner's mean earnings in lottery and inverse moments of the binomial distribution (English)
0 references
1 December 2010
0 references
Summary: We study the mean earnings of a lottery winner as a function of the number \(n\) of participants in the lottery and of the success probability \(p\). We show, in particular, that, for fixed \(p\), there exists an optimal value of \(n\) where the mean earnings are maximized. We also establish a relation with the inverse moments of a binomial distribution and suggest new formulas (exact and approximate) for them.
0 references
0 references
0 references
0 references
