On fractional uniform order statistics

Jones, M. C. (2002). On fractional uniform order statistics. Statistics & Probability Letters, 58(1) pp. 93–96.

DOI: https://doi.org/10.1016/S0167-7152(02)00119-0

Abstract

The fractional uniform order statistics of Stigler [J. Amer. Statist. Assoc. 72 (1977) 544] are shown to correspond to a randomised version of the alternative fractional uniform order statistics defined by taking convex combinations of consecutive uniform order statistics.

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About

• Item ORO ID
• 22667
• Item Type
• Journal Item
• ISSN
• 0167-7152
• Keywords
• beta distribution; generalised arc-sine distribution; linear combinations of order statistics
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2002 Elsevier Science B.V.
• Depositing User
• Sarah Frain