Relation between Relative Hazard Rates and Residual Divergence with some Applications to Reliability Analysis

N. Unnikrishnan Nair (), S. M. Sunoj () and Rajesh G. ()
Additional contact information
N. Unnikrishnan Nair: Cochin University of Science and Technology
S. M. Sunoj: Cochin University of Science and Technology
Rajesh G.: Cochin University of Science and Technology

Sankhya A: The Indian Journal of Statistics, 2023, vol. 85, issue 1, No 33, 784-802

Abstract: Abstract In the present work we discuss some new results and applications of the Kullback-Leibler residual divergence. It is shown that the residual divergence function is uniquely determined by the relative hazard rates of the constituent distributions. Some applications of this result in the series and parallel system reliability evaluations and in certain replacement policies are also suggested.

Keywords: Divergence of residual life; Relative hazard rate; Series and parallel systems; Dynamic proportional odds model; Replacement policies; 94A17; 62N07 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13171-021-00277-w 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:sankha:v:85:y:2023:i:1:d:10.1007_s13171-021-00277-w

Ordering information: This journal article can be ordered from
http://www.springer.com/statistics/journal/13171

DOI: 10.1007/s13171-021-00277-w

Access Statistics for this article

Sankhya A: The Indian Journal of Statistics is currently edited by Dipak Dey

More articles in Sankhya A: The Indian Journal of Statistics from Springer, Indian Statistical Institute
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().