On cumulative past information generating function

Santosh Kumar Chaudhary, Achintya Roy and Nitin Gupta

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 18, 5784-5805

Abstract: This article studies the cumulative past information-generating function (CPIG) and relative cumulative past information-generating function (RCPIG). We study its properties. We establish its relation with generalized cumulative past entropy (GCPE). We define the multivariate version of the CPIG function. We discuss its connection with system reliability for the k-out-of-n system. We define the CPIG stochastic order and its relation with dispersive order. We provide the results for the CPIG measure of convoluted random variables in terms of the measures of its components. We find some inequalities relating to Shannon entropy, CPIG, and GCPE. Some characterization and estimation results regarding CPIG are also discussed. We study CPIG based on SRS and RSS schemes. We define divergence measures between two random variables: Jensen-cumulative past information-generating function (JCPIG), Jensen fractional cumulative past entropy measure, cumulative past Taneja entropy, and Jensen cumulative past Taneja entropy information measure.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2024.2446397 (text/html)
Access to full text is restricted to subscribers.

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:taf:lstaxx:v:54:y:2025:i:18:p:5784-5805

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2024.2446397

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().