Journal of Engineering and Applied Sciences
Estimators of the Degrees of Freedom of a Chi-Square Distribution Obtained from the Method of Moments Procedure
Authors : Abdul Rahman Othman, Chin Ee Laine and Teh Sin Yin
Abstract: When skewed data is generated, the Chi-square distribution is often used. Skewness in the
Chi-square distribution is represented by the degrees of freedom. As the degrees of freedom increase, the
skewness becomes less apparent and the Chi-square distribution will approach normality. This study shows
the estimation of the degrees of freedom of the Chi-square distribution using the method of moments. The
procedure shows 
as the first sample moment and 
as the second central moment.
The mean square error and consistency for both U and V were evaluated. From this, the first moment estimator
U was concluded to be the better of the two estimators.
How to cite this article:
Abdul Rahman Othman, Chin Ee Laine and Teh Sin Yin, 2018. Estimators of the Degrees of Freedom of a Chi-Square Distribution Obtained from the Method of Moments Procedure. Journal of Engineering and Applied Sciences, 13: 6939-6943.