Abstract
In this paper, we propose a measure of weighted cumulative residual inaccuracy between survival function of the first-order statistic and parent survival function $\bar{F}$. We also consider weighted cumulative inaccuracy measure between distribution of the last- order statistic and parent distribution $F$. For these concepts, we obtain some reliability properties and characterization results such as relationships with other functions, bounds, stochastic ordering and effect of linear transformation. Dynamic versions of these weighted measures are considered.
Highlights
Let X denote the lifetime of a device or a system with probability density function f and cumulative distribution function F, respectively
The paper is organized as follows: In Section 2, we consider a measure of weighted cumulative residual inaccuracy (WCRI) between FX(1:n) and Fand study its properties
We discussed on concept of a weighted cumulative residual inaccuracy measure between FX(1:n) and Fand studied some properties of its
Summary
Let X denote the lifetime of a device or a system with probability density function (pdf) f and cumulative distribution function (cdf) F , respectively. A new information measure similar to CRE has been proposed by Di Crescenzo and Longobardi [7] as follows: CE(X) =. Analogous to (2), Misagh et al [12] proposed weighted cumulative residual entropy (WCRE) as. Thapliyal and Taneja [21] have introduced the measure of residual inaccuracy of order statistics and proved a characterization result for it. Tahmasebi and Daneshi [19] and Tahmasebi et al [20] have obtained some results of inaccuracy measures in record values. Daneshi et al [4] have proposed a weighted cumulative past (residual) inaccuracy of record values and studied its characterization results. The paper is organized as follows: In Section 2, we consider a measure of weighted cumulative residual inaccuracy (WCRI) between FX(1:n) and Fand study its properties.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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 callMore From: Statistics, Optimization & Information Computing
Disclaimer: 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.
