Characterization of continuous symmetric distributions using information measures of records

Jafar Ahmadi ()
Additional contact information
Jafar Ahmadi: Ferdowsi University of Mashhad

Statistical Papers, 2021, vol. 62, issue 6, No 5, 2603-2626

Abstract: Abstract In this paper, several characterizations of continuous symmetric distributions are provided. The results are based on the properties of some information measures of k-records. These include cumulative residual (past) entropy, Shannon entropy, Rényi entropy, Tsallis entropy, also some common Kerridge inaccuracy measures. It is proved that the equality of information in upper and lower k-records is a characteristic property of continuous symmetric distributions. Completeness properties of certain function sequences are also used to obtain some characterization results.

Keywords: Completeness properties; Cross entropy; Cumulative entropy; Kerridge inaccurac; k-Records; Rényi entropy; Symmetric distribution; Tsallis entropy; 62E10; 60E05; 62G30 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00362-020-01206-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:stpapr:v:62:y:2021:i:6:d:10.1007_s00362-020-01206-z

Ordering information: This journal article can be ordered from
http://www.springer. ... business/journal/362

DOI: 10.1007/s00362-020-01206-z

Access Statistics for this article

Statistical Papers is currently edited by C. Müller, W. Krämer and W.G. Müller

More articles in Statistical Papers from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().