An Upper Bound for the Expected Range of a Random Sample
Abstract:We consider the expected range of a random sample of points chosen from the interval [0, 1] according to some probability distribution. We then use the notion of convexity to derive an upper bound for this expected range which is valid for all possible choices of this distribution. Finally we show that there is only one distribution for which this bound is achieved.
Document Type: Research Article
Publication date: January 1, 2010
More about this publication?
- The College Mathematics Journal is designed to enhance classroom learning and stimulate thinking regarding undergraduate mathematics. CMJ publishes articles, short Classroom Capsules, problems, solutions, media reviews and other pieces. All are aimed at the college mathematics curriculum with emphasis on topics taught in the first two years.
- Information for Authors
- Submit a Paper
- Subscribe to this Title
- Membership Information
- Information for Advertisers
- Terms & Conditions
- MAA Journals at ingentaconnect
- MAA Store
- ingentaconnect is not responsible for the content or availability of external websites