桶图：用于偏度和峰度比较的可视化工具

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Brazilian Journal of Probability and Statistics Pub Date : 2022-09-01 DOI:10.1214/22-bjps533

F. De Bastiani, D. Stasinopoulos, R. Rigby, G. Heller, Lucas A. Silva

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引用次数: 2

摘要

本文介绍了桶形图，一种用于检测连续分布随机变量的偏度和峰度的可视化工具。该图可应用于矩和百分位偏度和峰度。桶形图用于检测响应变量或拟合模型残差中的偏度和峰度，作为诊断工具，通过该工具评估拟合分布对响应变量的偏度和峰度的充分性。我们在9个模拟偏度和峰度场景中演示了桶形图，并在实际数据情况中展示了桶形图的实用性。

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Bucket plot: A visual tool for skewness and kurtosis comparisons

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.

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来源期刊

Brazilian Journal of Probability and Statistics STATISTICS & PROBABILITY-

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes. More specifically, the following types of contributions will be considered: (i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects. (ii) Original articles developing theoretical results. (iii) Articles that contain novel applications of existing methodologies to practical problems. For these papers the focus is in the importance and originality of the applied problem, as well as, applications of the best available methodologies to solve it. (iv) Survey articles containing a thorough coverage of topics of broad interest to probability and statistics. The journal will occasionally publish book reviews, invited papers and essays on the teaching of statistics.