The Generalized t-Distribution on the Circle

• Siew Hai-Yen

  Department of Statistical Science, The Graduate University for Advanced Studies

• Kato Shogo

  Department of Mathematics, Keio University

• Shimizu Kunio

  Department of Mathematics, Keio University

Abstract

An extended version of t -distribution on the unit circle is generated by conditioning a normal mixture distribution, which is broadened to include not only unimodality and symmetry, but also bimodality and asymmetry, depending on the values of parameters. After reparametrization, the distribution contains four circular distributions as special cases: symmetric Jones-Pewsey, generalized von Mises, generalized cardioid and generalized wrapped Cauchy distributions. As an illustrative example, the proposed model is fitted to the number of occurrences of the thunder in a day.

Journal

• Ouyou toukeigaku

  Ouyou toukeigaku 37 (1), 1-16, 2008

  Japanese Society of Applied Statistics

Keywords

• Cardioid distribution
• Directional statistics
• Generalized von Mises distribution
• Normal mixture distribution
• Wrapped Cauchy distribution

Details

• CRID: 1390282679419772544
• NII Article ID: 10021979419
• NII Book ID: AN00330942
• DOI: 10.5023/jappstat.37.1
• ISSN: 18838081
• ISSN: 02850370
• NDL BIB ID: 9501563
• Web Site: http://id.ndl.go.jp/bib/9501563
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9501563
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed