On weighted version of dynamic cumulative residual inaccuracy measure based on extropy

Morteza Mohammadi and Majid Hashempour ()
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Morteza Mohammadi: University of Zabol
Majid Hashempour: University of Hormozgan

Statistical Papers, 2024, vol. 65, issue 7, No 21, 4599-4629

Abstract: Abstract This paper introduces the concept of dynamic cumulative residual extropy inaccuracy (DCREI) by expanding on the existing dynamic cumulative residual extropy (DCRE) measure and proposes a weighted version of it. The paper then investigates a characterization problem for the proposed weighted dynamic extropy inaccuracy measure under the proportional hazard model and characterizes some well-known lifetime distributions using the weighted dynamic cumulative residual extropy inaccuracy (WDCREI) measure. Additionally, the study discusses the stochastic ordering of WDCREI and certain results based on it. Non-parametric estimations of the proposed measures based on kernel and empirical estimators are suggested. Results of a simulation study show that the kernel-based estimators perform better than the empirical-based estimator. Finally, applications of the proposed measures on model selection are provided.

Keywords: Characterization; Dynamic cumulative residual extropy; Proportional hazard model; Inaccuracy; Weighted cumulative residual extropy; 62N05; 62F10; 62E10; 94A17 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00362-024-01568-8

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