A new skew-bimodal distribution with applications

Altemir da Silva Braga, Gauss M. Cordeiro and Edwin M. M. Ortega

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 12, 2950-2968

Abstract: 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.

Date: 2018
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DOI: 10.1080/03610926.2017.1343851

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