Journal of Engineering and Applied Sciences

Estimators of the Degrees of Freedom of a Chi-Square Distribution Obtained from the Method of Moments Procedure

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.