On cumulative residual (past) inaccuracy for truncated random variables
Information Theory
2021-03-23 v1 math.IT
Probability
Statistics Theory
Statistics Theory
Abstract
To overcome the drawbacks of Shannon's entropy, the concept of cumulative residual and past entropy has been proposed in the information theoretic literature. Furthermore, the Shannon entropy has been generalized in a number of different ways by many researchers. One important extension is Kerridge inaccuracy measure. In the present communication we study the cumulative residual and past inaccuracy measures, which are extensions of the corresponding cumulative entropies. Several properties, including monotonicity and bounds, are obtained for left, right and doubly truncated random variables.
Keywords
Cite
@article{arxiv.2103.11021,
title = {On cumulative residual (past) inaccuracy for truncated random variables},
author = {Chanchal Kundu and Antonio Di Crescenzo and Maria Longobardi},
journal= {arXiv preprint arXiv:2103.11021},
year = {2021}
}
Comments
19 pages, 3 figures