# Likelihood ratio in estimating Chi-square parameter

• Rahman, Mezbahur (Department of Mathematics and Statistics, Minnesota State University)
• Published : 2009.05.31

#### Abstract

The most frequent use of the chi-square distribution is in the area of goodness-of-t of a distribution. The likelihood ratio test is a commonly used test statistic as the maximum likelihood estimate in statistical inferences. The recently revised versions of the likelihood ratio test statistics are used in estimating the parameter in the chi-square distribution. The estimates are compared with the commonly used method of moments and the maximum likelihood estimate.

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