Mean Difference and Mean Deviation of Tukey Lambda Distribution

• 作者: Angela Maria D’Uggento Antonella Massari Fabio Manca Giovanni Girone
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Mean Difference Mean Deviation Tukey Lambda Distribution Variability Indexes’ Relationships
• 年，卷（期）: 2020,（8）
• 页码范围: 771-778
• 页数: 8页
• 分类号: O17

摘要

The purpose of this paper is to broaden the knowledge of mean difference and,<span><span><span style="font-family:;" "=""> </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">in particular, of an important distribution model known as Tukey lambda, which is generally used to choose a model to fit data.</span></span></span><span><span><span style="font-family:;" "=""> </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">We have obtained compact formulas, which are not yet reported in literature, of mean deviation and mean difference related to the said distribution model.</span></span></span><span><span><span style="font-family:;" "=""> </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">These results made it possible to analyze the relationships among variability indexes, namely standard deviation, mean deviation and mean difference, regarding Tukey lambda model.</span></span></span>