Volume 14, Issue 4, December 2015, Pages 399 - 412
Dynamic Cumulative Residual and Past Inaccuracy Measures
Authors
Vikas Kumar, H.C. Taneja
Corresponding Author
Vikas Kumar
Received 15 April 2014, Accepted 12 March 2015, Available Online 1 December 2015.
- DOI
- 10.2991/jsta.2015.14.4.5How to use a DOI?
- Keywords
- Shannon entropy; Cumulative residual entropy; Cumulative inaccuracy measure; Mean residual life function; Proportional hazard model.
- Abstract
In this paper, we have developed measures of dynamic cumulative residual and past inaccuracy. We have studied characterization results under proportional hazard model in case of dynamic cumulative residual inaccuracy and under proportional reversed hazard model in case of dynamic cumulative past inaccuracy measure. We have characterized certain specific lifetime distributions using the measures proposed. Some generalized results have also been considered.
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Vikas Kumar AU - H.C. Taneja PY - 2015 DA - 2015/12/01 TI - Dynamic Cumulative Residual and Past Inaccuracy Measures JO - Journal of Statistical Theory and Applications SP - 399 EP - 412 VL - 14 IS - 4 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2015.14.4.5 DO - 10.2991/jsta.2015.14.4.5 ID - Kumar2015 ER -