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:: Volume 14, Issue 2 (2-2021) ::
J. of Stat. Sci. 2021, 14(2): 389-408 Back to browse issues page
Inaccuracy Measure Based on Survival Copula
Seyede Toktam Hosseini , Jafar Ahmadi
Abstract:   (684 Views)
In this paper, using the idea of inaccuracy measure in the information theory, the residual and past inaccuracy measures in the bivariate case are defined based on copula functions. Under the assumption of radial symmetry, the equality of these two criteria is shown, also by the equality between these two criteria, radially symmetrical models are characterized. A useful bound is provided by establishing proportional (inverse) hazard rate models for marginal distributions. Also, the proportional hazard rate model in bivariate mode is characterized by assuming proportionality between the introduced inaccuracy and its corresponding entropy. In addition, orthant orders are used to obtain inequalities. To illustrate the results, some examples and simulations are presented.
Keywords: Copula, Entropy, Inaccuracy Measure, Orthant Orders, Proportional (Inverse) Hazard Rate Models, Radially Symmetric.
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Type of Study: Research | Subject: Probabilty and Applications
Received: 2019/05/11 | Accepted: 2020/04/3 | Published: 2021/02/28
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Hosseini S T, Ahmadi J. Inaccuracy Measure Based on Survival Copula. J. of Stat. Sci.. 2021; 14 (2) :389-408
URL: http://jss.irstat.ir/article-1-662-en.html


Volume 14, Issue 2 (2-2021) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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