DOAJ Open Access 2005

Position of the maximum in a sequence with geometric distribution

Margaret Archibald

Lihat Sumber DOI

Abstrak

As a sequel to [arch04], the position of the maximum in a geometrically distributed sample is investigated. Samples of length n are considered, where the maximum is required to be in the first d positions. The probability that the maximum occurs in the first $d$ positions is sought for $d$ dependent on n (as opposed to d fixed in [arch04]). Two scenarios are discussed. The first is when $d=αn$ for $0 < α ≤ 1$, where Mellin transforms are used to obtain the asymptotic results. The second is when $1 ≤ d = o(n)$.

Topik & Kata Kunci

Mathematics

Penulis (1)

Margaret Archibald

Format Sitasi

APA MLA BibTeX

Archibald, M. (2005). Position of the maximum in a sequence with geometric distribution. https://doi.org/10.46298/dmtcs.3367

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.3367

Informasi Jurnal

Tahun Terbit: 2005
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.3367
Akses: Open Access ✓