Volume 17, Issue 1 (6-2018)                   JIRSS 2018, 17(1): 89-108 | Back to browse issues page

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University of Birjand
Abstract:   (1063 Views)

In this paper‎, ‎borrowing the intuition in Rao et al‎. ‎(2004)‎, ‎we introduce a cumulative version of inaccuracy measure (CIM)‎. ‎Also we obtain interesting and applicable properties of CIM for different cases based on residual‎, ‎past and interval lifetime random variables‎. ‎Relying on various application of stochastic classes in reliability and information theory field‎, ‎we study new classes of lifetime in terms of CIM along with their relations with other famous ageing classes‎. ‎Furthermore‎, ‎some characterization results are obtained under proportional reversed hazard rate model‎. ‎Finally‎ ‎an extension of CIM‎, ‎considering the time t changes in a range (t1,t2) called the interval cumulative residual (past) inaccuracy (ICR(P)I) is derived‎. ‎We investigate ICRI's relation with its analogous version based on Shannon entropy‎. 

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Type of Study: Original Paper | Subject: 94Axx: Communication, information
Received: 2017/01/27 | Accepted: 2017/07/11 | Published: 2017/07/11