A new skew-bimodal distribution with applications

作者：Braga Altemir da Silva^*; Cordeiro Gauss M; Ortega Edwin M M

来源：Communications in Statistics - Theory and Methods, 2018, 47(12): 2950-2968.

DOI：10.1080/03610926.2017.1343851

• Log-logistic distribution
• maximum-likelihood estimation
• mean deviation
• skew bimodality
• skew distribution

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.

• 出版日期2018