Abstract
This study introduces the bucket plot, a visual tool to detect skew-ness 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 skew-ness 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.
Original language | English |
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Pages (from-to) | 421-440 |
Number of pages | 20 |
Journal | Brazilian Journal of Probability and Statistics |
Volume | 36 |
Issue number | 3 |
DOIs | |
Publication status | Published - Sept 2022 |
Keywords
- Centiles and moments
- GAMLSS
- leptokurtic
- platykurtic
- residual diagnostic plot
- skew exponential power type 3