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 |
|---|---|
| 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
Fingerprint
Dive into the research topics of 'Bucket plot: A visual tool for skewness and kurtosis comparisons'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver