| Authors | Mohammad Khorashadizadeh |
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| Journal | Reliability: Theory and Applications |
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| Page number | 448-464 |
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| Serial number | 19 |
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| Volume number | 1 |
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| Paper Type | Full Paper |
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| Published At | 2024 |
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| Journal Type | Electronic |
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| Journal Country | Iran, Islamic Republic Of |
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| Journal Index | Scopus |
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| Keywords | Doubly truncated (inter val) Tsallis entr opy, Doubly truncated (inter val) cumulative residual Tsallis entr opy (ICRT), Doubly truncated (inter val) cumulativ e past Tsallis entr opy (ICPT), Hazar d rate, Reversed hazar d rate, Mean residual life, Mean past life, Nonparametric estimators |
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Abstract
In this paper, we first study doubly truncated (interval) Tsallis entropy and suggest doubly truncated
(interval) cumulative residual Tsallis entropy (ICRT), which is an extension of cumulative residual
Tsallis entropy (CRT) and the dynamic CRT defined by the aid of Sati and Gupta and of Kumar, respectively. We investigate some properties and characterization of this measure, such as its relation with
doubly truncated Shannon entropy, mean residual (past) life, and hazard rate (or reversed hazard rate).
Also, the twin measure, doubly truncated (interval) cumulative past Tsallis entropy, is determined, and
some of its properties are studied. Moreover, their monotonicity and related aging classes of distributions
are expressed, and the upper (lower) bound for them is acquired. In the end, we propose four nonparametric estimators and compare their performance by utilizing simulation data. Also, being based on the
best-proposed estimator, a real data set is additionally examined.
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