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Dynamic Quantile Inaccuracy Measure between Two Past Lifetimes
Afsaneh Shokrani , Mohammad Khorashadizadeh
Abstract:   (705 Views)

This paper first introduces the Kerridge inaccuracy measure as an extension of the Shannon entropy and then the measure of past inaccuracy has been rewritten based on the concept of quantile function. Then, some characterizations results for lifetimes with proportional reversed hazard model property based on quantile past inaccuracy measure are obtained. Also, the class of lifetimes with increasing (decreasing) quantile past inaccuracy property and some of its properties are studied. In addition, via an example of real data, the application of quantile inaccuracy measure is illustrated.

Keywords: Shannon entropy, Quantile function, Kerridge's inaccuracy measure, Past inaccuracy measure, Proportional reversed hazard model
Full-Text [PDF 5779 kb]   (136 Downloads)    
Type of Study: Applied | Subject: Reliability
Received: 2016/09/18 | Accepted: 2018/04/19 | Published: 2018/04/19
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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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