DETERMINATION OF THE GOODNESS OF FIT OF A DISTRIBUTION TO A SET OF EXPERIMENTAL DATA

Document Type : Original Article

Author

Associate Professor, Electrical Eng. Dept., Military Technical College, Cairo, Egypt.

Abstract

Abstract
Many systems of interest involve phenomena that exhibit unpredictable variation and
randomness. For example, communication systems must provide continuous and error free
communication over channels that are subject to random noise. Probability models are one of
the tools that enable the designer to successfully build systems that are efficient and reliable.
Processing of random signals postulates a probability model that is defined by the probability
density function of the random signal. In this paper, we propose a method to determine the
goodness of fit of a distribution to a set of experimental data. The proposed method depends
on the chi-square test. It is applied to different examples of different probability density
functions. The proposed method is proved to be efficient.

Keywords