Ordered sample from two-parameter GEM distribution

✍ Scribed by Hajime Yamato; Masaaki Sibuya; Toshifumi Nomachi

• Book ID: 104301735
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 119 KB
• Volume: 55
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(01)00119-5

✦ Synopsis

Pitman's two-parameter GEM distribution is characterized by the product moments. Based on that fact, sampling distributions of some statistics of a random sample from the two-parameter GEM distribution are derived. The main statistics are the frequencies of categories in a sample in the order of appearance, the intervals between new categories, and number of distinct categories.