Abstract
The present communication considers a discrete dynamic measure of inaccuracy between two residual and past lifetime distributions. Under the assumption that the true distribution F and reference distribution G satisfy the proportional hazard model (PHM) and proportional reversed hazard model (PRHM), it has been shown that the proposed measures determines the lifetime distribution uniquely. A relation between Kerridge inaccuracy, residual inaccuracy and past inaccuracy has been explored.
Highlights
Let X and Y be two non-negative random variables representing time to failure of two systems with p.d.f. respectively f (x) and g(x)
Nanda and Paul (2006) have extended this to entropy of order β and have studied their properties. In this communication we propose and study the measures of dynamic inaccuracy, when the distributions P and Q are discrete domain, and satisfy proportional hazard model (PHM), refer to Cox (1959), or proportional reversed hazard model (PRHM), refer to Gupta and Gupta (2007)
Real world life time is either observed in discrete time points or it is measured by discrete quantities
Summary
Let X and Y be two non-negative random variables representing time to failure of two systems with p.d.f. respectively f (x) and g(x). The modification of Shannon’s entropy as a measure of uncertainty in residual lifetime distribution for discrete random variable has drawn attention of many researchers. As residual lifetime information measure in discrete domain and showed that H(P; j) uniquely determines the distribution function F(t) and characterized the same. Nanda and Paul (2006) have extended this to entropy of order β and have studied their properties In this communication we propose and study the measures of dynamic (residual and past both) inaccuracy, when the distributions P and Q are discrete domain, and satisfy proportional hazard model (PHM), refer to Cox (1959), or proportional reversed hazard model (PRHM), refer to Gupta and Gupta (2007).
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
