Goodness-of-fit graphical assessment for a broad family of unimodal distributions

Pere Grima, José A. Sánchez-Espigares and Pedro Delicado

Communications in Statistics - Theory and Methods, 2022, vol. 53, issue 1, 396-418

Abstract: A Skewed Exponential Power Distribution is used to construct a bidimensional array of graphics in which kurtosis varies when moving horizontally and skewness when moving vertically. The Normal distribution lies in the center of the mosaic. Given a sample, the null hypotheses that it comes from each distribution in the mosaic are tested and the cell of each distribution is filled with a color that is a function of the obtained p-value. In this way, a dark area is obtained on the mosaic to indicate the distributions with which the sample is compatible.

Date: 2022
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DOI: 10.1080/03610926.2022.2082479

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