A proposal of new disnormality indexes.

Uloženo v:
Podrobná bibliografie
Název: A proposal of new disnormality indexes.
Autoři: Girone, Giovanni, Massari, Antonella, Campobasso, Francesco, D'Uggento, Angela Maria, Marin, Claudia, Manca, Fabio
Zdroj: Communications in Statistics: Theory & Methods; 2023, Vol. 52 Issue 5, p1548-1563, 16p
Témata: WAREHOUSES, DISTRIBUTION (Probability theory), CONTINUOUS distributions, KURTOSIS
Abstrakt: In this paper, well known disnormality or kurtosis indexes are decomposed into contributions to the measure of disnormality of the center, sides and tails of distributions. The results of this study confirm that the above indexes measure mainly the length and thickness of distribution tails at the expense of the distribution center, which may be more or less peaked or flat. The nature of this decomposition suggests the adoption of new and more appropriate measures of disnormality to capture the various forms in which disnormality occurs. The purpose is to put forward new indexes which are able to measure the aspects of disnormality more appropriately. The proposed indexes are less biased when compared to the structure of well-known indexes and are able to value not only the tail characteristics of distributions, but also those of the sides and the center. [ABSTRACT FROM AUTHOR]
Copyright of Communications in Statistics: Theory & Methods is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Databáze: Complementary Index
Popis
Abstrakt:In this paper, well known disnormality or kurtosis indexes are decomposed into contributions to the measure of disnormality of the center, sides and tails of distributions. The results of this study confirm that the above indexes measure mainly the length and thickness of distribution tails at the expense of the distribution center, which may be more or less peaked or flat. The nature of this decomposition suggests the adoption of new and more appropriate measures of disnormality to capture the various forms in which disnormality occurs. The purpose is to put forward new indexes which are able to measure the aspects of disnormality more appropriately. The proposed indexes are less biased when compared to the structure of well-known indexes and are able to value not only the tail characteristics of distributions, but also those of the sides and the center. [ABSTRACT FROM AUTHOR]
ISSN:03610926
DOI:10.1080/03610926.2021.1930053