<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this article, we present a novel approach to measuring inaccuracy, introducing a two-parametric weighted generalized inaccuracy measure of order <italic>α</italic> and type <italic>β</italic>, along with its residual version. Our proposed measure depends on the proportional hazard rate model (PHRM) to uniquely determine the survival function, and we have derived a characterization result for this measure. Through our analysis under the PHRM framework, we have studied various properties of the proposed measure and their interrelationships.</p>
</abstract>

In this article, we present a novel approach to measuring inaccuracy, introducing a two-parametric weighted generalized inaccuracy measure of order α and type β, along with its residual version. Our proposed measure depends on the proportional hazard rate model (PHRM) to uniquely determine the survival function, and we have derived a characterization result for this measure. Through our analysis under the PHRM framework, we have studied various properties of the proposed measure and their interrelationships.

A new two-parametric weighted generalized inaccuracy measure

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"A new two-parametric weighted generalized inaccuracy measure"}

In this article, we present a novel approach to measuring inaccuracy, introducing a two-parametric weighted generalized inaccuracy measure of order α and type...

A new two-parametric weighted generalized inaccuracy measure

Published Online: Jan 06, 2024

Page range: 57 - 73

DOI: https://doi.org/10.2478/jamsi-2023-0010

Keywords
Characterization results, Distribution function, Inaccuracy measure, Renyi entropy, Shannon entropy, Weighted inaccuracy measure

© 2023 A. Fayaz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A new two-parametric weighted generalized inaccuracy measure

Published Online: Jan 06, 2024

Page range: 57 - 73

DOI: https://doi.org/10.2478/jamsi-2023-0010

KeywordsCharacterization results, Distribution function, Inaccuracy measure, Renyi entropy, Shannon entropy, Weighted inaccuracy measure

© 2023 A. Fayaz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Characterization results, Distribution function, Inaccuracy measure, Renyi entropy, Shannon entropy, Weighted inaccuracy measure