pip install pemtest

When performing data analysis, sometimes people come across a problem of checking null hypothesis for normality without knowing parameters of the distribution. In this case we should use tests like "Parameters Elimination Method". PEM test allows us to get rid of mu and sigma and move from performing a test for normality to performing a test for uniform distribution with parameters 0, 1.

Yes. You can read full documentation on the algorithm based on PEM test here.

Yes, here's an interactive notebook with examples: https://colab.research.google.com/drive/15SR2hJpejqQ8G-I0SXk-WZMZUpsbUdAC?usp=sharing

turkunov @ Github (me). The algorithm is based on the research done by Sarkadi K. in "On testing for normality" (1960) [p. 269-275].