Sharma-Mittal Entropy Properties on Record Values

Jerin Paul () and Poruthiyudian Yageen Thomas ()
Additional contact information
Jerin Paul: University of Kerala, Trivandrum - India
Poruthiyudian Yageen Thomas: University of Kerala, Trivandrum - India

Statistica, 2016, vol. 76, issue 3, 273-287

Abstract: In this paper we derive Sharma-Mittal entropy of record values and analyse some of its important properties. We establish some bounds for the Sharma-Mittal entropy of record values. We generate a characterization result based on the properties of Sharma-Mittal entropy of record values for exponential distribution. We further establish some distribution free properties of Sharma-Mittal divergence information between distribution of a record value and the parent distribution. We extend the concept of Sharma-Mittal entropy to the concomitants of record values arising from a Farlie-Gumbel-Morgenstern (FGM) bivariate distribution. Also we consider residual Sharma-Mittal Entropy and used it to describe some properties of record values.

Keywords: Record values; Sharma-Mittal entropy; Maximum entropy principle; Characterization; Concomitants of record values; Residual Sharma-Mittal entropy (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:bot:rivsta:v:76:y:2016:i:3:p:273-287

Access Statistics for this article

Statistica is currently edited by Department of Statistics, University of Bologna

More articles in Statistica from Department of Statistics, University of Bologna Contact information at EDIRC.
Bibliographic data for series maintained by Giovanna Galatà ().