Ordered sample from two-parameter GEM distribution

Hajime Yamato, Masaaki Sibuya and Toshifumi Nomachi

Statistics & Probability Letters, 2001, vol. 55, issue 1, 19-27

Abstract: 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.

Keywords: C-number; Donnelly-Tavare-Griffiths; formula; GEM; distribution; Generalized; Stirling; numbers; Pitman; sampling; formula; Residual; allocation; model (search for similar items in EconPapers)
Date: 2001
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(01)00119-5
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:55:y:2001:i:1:p:19-27

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().