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Results and applications of a new inaccuracy measure based on cumulative Tsallis entropy.
- Source :
-
Communications in Statistics: Theory & Methods . 2024, Vol. 53 Issue 12, p4334-4353. 20p. - Publication Year :
- 2024
-
Abstract
- Non-additive measures are important for many applications. In this paper we propose an extension of the non-additive measure using the concept of Kerridge inaccuracy and cumulative Tsallis entropy. Several properties including non-linear transformation, bounds and characterizations are obtained using this measure. We also study different properties of the quantile version of the proposed measure. Finally, we numerically illustrate the usefulness of the measure and its quantile form using kernel density estimators. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ENTROPY
*FUZZY measure theory
*QUANTILE regression
*PROBABILITY density function
Subjects
Details
- Language :
- English
- ISSN :
- 03610926
- Volume :
- 53
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Communications in Statistics: Theory & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 177117388
- Full Text :
- https://doi.org/10.1080/03610926.2023.2179371