Abstract
In this paper, we introduce the modified doubly truncated cumulative residual and past extropies, which are generalizations of corresponding cumulative extropies and their dynamic version. We study them in the context of reliability theory. Also, several properties including the proposed measures’ monotonicity, bounds, and uniqueness are investigated. Moreover, non-parametric estimators of the proposed measures are provided. Finally, an application on a real dataset is performed to verify the performance of the estimators.
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The authors thank the editor-in-chief, the associate editor, and the anonymous reviewers for their useful comments on the earlier version of this paper.
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Hashempour, M., Mohammadi, M., Jahanshahi, S.M.A. et al. Modified Cumulative Extropies of Doubly Truncated Random Variables. Sankhya B (2024). https://doi.org/10.1007/s13571-024-00328-w
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DOI: https://doi.org/10.1007/s13571-024-00328-w
Keywords
- Cumulative residual (past) extropy
- modified doubly truncated residual (past) extropy
- doubly truncated mean residual (past) life function
- empirical estimator
- generalized failure rate