A new skew-bimodal distribution with applications

被引：9

作者：

Braga, Altemir da Silva ^{[1
]}

Cordeiro, Gauss M. ^{[2
]}

Ortega, Edwin M. M. ^{[1
]}

机构：

[1] Univ Sao Paulo, Dept Ciencias Exatas, Piracicaba, SP, Brazil

[2] Univ Fed Pernambuco, Dept Estat, Recife, PE, Brazil

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2018年 / 47卷 / 12期

关键词：

Log-logistic distribution; maximum-likelihood estimation; mean deviation; skew bimodality; skew distribution; FAMILY; MODELS;

D O I：

10.1080/03610926.2017.1343851

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The modeling and analysis of experiments is an important aspect of statistical work in a wide variety of scientific and technological fields. We introduce and study the odd log-logistic skew-normal model, which can be interpreted as a generalization of the skew-normal distribution. The new distribution can be used effectively in the analysis of experiments data since it accommodates unimodal, bimodal, symmetric, bimodal and right-skewed, and bimodal and left-skewed density function depending on the parameter values. We illustrate the importance of the new model by means of three real data sets in analysis of experiments.

引用

页码：2950 / 2968

页数：19

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