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2009•Unpublished venueRequires access

Likelihood ratio in estimating Chi-square parameter

Mezbahur Rahman

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Abstract

The most frequent use of the chi-square distribution is in the area of goodness-of-fit 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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What this paper is about

The most frequent use of the chi-square distribution is in the area of goodness-of-fit 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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Available abstract

The most frequent use of the chi-square distribution is in the area of goodness-of-fit 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.

Key concepts: Statistics, Likelihood-ratio test, Mathematics, Likelihood principle, Pearson's chi-squared test, Chi-square test, Likelihood function, Restricted maximum likelihood

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