Goodness-Of-Fit Test For Standard Logistic Distribution With Outliers

The book "Goodness-Of-Fit Test For Standard Logistic Distribution With Outliers" offers a comprehensive analysis of the robustness of the R-squared MAD coefficient compared to the traditional R-squared OLS. It examines the effects of outliers on the goodness of fit in the standard logistic distribution and provides valuable insights into the symmetry of the sample distribution of the R-squared MAD as well as its confidence intervals. By introducing contaminations, the resilience of the R-squared MAD is tested in various scenarios. The authors present critical values for samples from the standard logistic distribution and conduct a performance study demonstrating that the test statistic ZMAD is capable of distinguishing between different distributions. This specialized book is aimed at professionals and students in the fields of mathematics and natural sciences who are engaged with statistical methods and their applications in data analysis.