Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2768

Recurrence relations for the moments of order statistics from uniform distribution

Muhammet Bekçi
  Ege University, Faculty of Science, Department of Statistics, B-Block, 35100, Bornova, Ä°zmir, Turkey
Email: [email protected]

  •  Accepted: 07 October 2009
  •  Published: 30 November 2009

Abstract

 

In this paper, certain recurrence relations for the single and product moments of the order statistics of a random sample of size n arising from uniform distribution are derived. The usefulness of these relations in evaluating the single and product moments of uniform order statistics is also discussed.

 

Key words: Order statistics, single and product moments, recurrence relations, Pearson’s correlation coefficient.