Discrete distributions with maximum expected value of the maximum

✍ Scribed by F. López-Blázquez

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 76 KB
• Volume: 70
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(97)00181-x

✦ Synopsis

We give an upper bound for the expected value of the largest order statistic of a simple random sample of size n from a discrete distribution on N points. We also characterize the distributions that attain such bound. In the particular case n = 2; we obtain a characterization of the discrete uniform distribution.