Modern Techniques in Data Analysis, with Application to the Water Pollution

Abstract

This paper presents a comparison of most capable families of distributions for modelling asymmetry. Kum-normal, stable-symmetric normal family and two of the full families were chosen, where the quality of the fit, the flexibility and the amount of asymmetry parameters were factors used for comparison. The objective of this study was to generate data with increasing levels of asymmetry and to choose the best fit. The distributions were also compared in modelling two data sets of pollution of the drinking water in the El-Sharkia governorate in Egypt. Much of this paper is concerned with the distribution theory, exploring the properties of some new recent families of distributions and, where appropriate, extolling their virtues. Relatively, much of this paper is devoted to practical application.