Bucket plot: a visual tool for skewness and kurtosis comparisons

De Bastiani, Fernanda, Stasinopoulos, Dimitrios, Rigby, Robert A., Heller, Gillian Z. and Silva, Lucas A. (2022) Bucket plot: a visual tool for skewness and kurtosis comparisons. Brazilian Journal of Probability and Statistics, 36 (3). pp. 421-440. ISSN 0103-0752

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Official URL: https://doi.org/10.1214/22-BJPS533

Abstract / Description

This study introduces the bucket plot, a visual tool to detect skewness and kurtosis in a continuously distributed random variable. The plot can be applied to both moment and centile skewness and kurtosis. The bucket plot is used to detect skewness and kurtosis either in a response variable, or in the residuals from a fitted model as a diagnostic tool by which to assess the adequacy of a fitted distribution to the response variable regarding skewness and kurtosis. We demonstrate the bucket plot in nine simulated skewness and kurtosis scenarios, and the usefulness of the plot is shown in a real-data situation.

Item Type: Article
Additional Information: ** From Crossref journal articles via Jisc Publications Router
Uncontrolled Keywords: centiles and moments; GAMLSS; leptokurtic; platykurtic; residual diagnostic plot; skew exponential power type 3
Subjects: 500 Natural Sciences and Mathematics > 510 Mathematics
Department: School of Computing and Digital Media
SWORD Depositor: Pub Router
Depositing User: Pub Router
Date Deposited: 19 Oct 2022 09:51
Last Modified: 19 Oct 2022 09:51
URI: https://repository.londonmet.ac.uk/id/eprint/7951

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