A novel yet simple extension of the symmetric logistic distribution is proposed by introducing a skewness parameter. It is shown how the three parameters of the ensuing skew logistic distribution may be estimated using maximum likelihood. The skew logistic distribution is then extended to the skew bi-logistic distribution to allow the modelling of multiple waves in epidemic time series data. The proposed model is validated on COVID-19 data from the UK.

翻译：通过引入一个斜度参数,提出了对称后勤分布的新颖而简单的延伸,并说明了随后的斜度后勤分布的三个参数如何尽可能估计,然后将斜度后勤分布扩大到斜线双逻辑分布,以便能够模拟流行病时间序列数据中的多波。