The average position of the first maximum in a sample of geometric random variables

We consider samples of n geometric random variables $(Γ _1, Γ _2, \dots Γ _n)$ where $\mathbb{P}\{Γ _j=i\}=pq^{i-1}$, for $1≤j ≤n$, with $p+q=1$. The parameter we study is the position of the first occurrence of the maximum value in a such a sample. We derive a probability generating function for th...

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Autors principals: Margaret Archibald, Arnold Knopfmacher
Format: Article
Idioma:English
Publicat: Discrete Mathematics & Theoretical Computer Science 2007-01-01
Col·lecció:Discrete Mathematics & Theoretical Computer Science
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Accés en línia:https://dmtcs.episciences.org/3523/pdf