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On the Asymptotic Distribution of the Likelihood Ratio Statistic

Communications in Statistics - Theory and Methods, 2007
Likelihood ratio tests are among the most frequently used in practical statistics. Important references on this subject include Wilks (1962), Rao (1965, pp. 347–352), and Agresti (1990, pp. 434–435). We give proofs of some well-known results on the limiting distribution of D = −2log(λ), where λ is the likelihood ratio, under certain clearly-stated ...
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A note on the likelihood‐ratio statistic under model misspecification

Canadian Journal of Statistics, 1998
AbstractFollowing Viraswami and Reid (1996), higher‐order results under model misspecification are obtained for the likelihood‐ratio statistic and the adjusted likelihood‐ratio statistic, for the case of a scalar parameter. An improved version of the adjusted likelihood‐ratio statistic is suggested.
Viraswami, K., Reid, N.
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An empirical adjustment to the likelihood ratio statistic

Biometrika, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multivariate likelihood ratio ordering of conditional order statistics

Journal of Systems Science and Complexity, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yashi Wang, Peng Zhao 0012
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The signed likelihood ratio statistic

2000
The signed likelihood ratio statistic Consider a statistical model parameterized by a scalar parameter θ .
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Data-dependent probability matching priors for likelihood ratio and adjusted likelihood ratio statistics

Statistics, 2013
We consider likelihood ratio statistics based on the usual profile likelihood and the standard adjustments thereof proposed in the literature in the presence of nuisance parameters. The role of data-dependent priors in ensuring approximate frequentist validity of posterior credible regions based on the inversion of these statistics is investigated ...
In Hong Chang, Rahul Mukerjee
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Is the `Improved Likelihood Ratio Statistic' Really Improved in the Discrete Case?

Biometrika, 1989
Summary: On the basis of some numerical studies we argue that Bartlett adjustment of the likelihood ratio statistic for discrete data does not in general yield an improvement in the asymptotic error rate of the chi-squared approximation. Also we argue that the small-sample effect of the Bartlett adjustment is unclear and that it is in no way comparable
Frydenberg, Morten   +1 more
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Likelihood ratio ordering of order statistics

Journal of Statistical Planning and Inference, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Similar Tests and the Standardized Log Likelihood Ratio Statistic

Biometrika, 1986
When testing an affine hypothesis in an exponential family the 'ideal' procedure is to calculate the exact similar test, or an approximation to this, based on the conditional distribution given the minimal sufficient statistic under the null hypothesis.
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Small sample statistics for likelihood-ratio tests

The Journal of the Acoustical Society of America, 1979
Classification by likelihood ratio of a one-dimensional random variate drawn randomly and with equal probability from one of two independent Gaussian populations is known to be optimal if misclassification costs are equal and statistics (true means and variances) are available; the expected classification error is then a known function of the ...
L. Bahler, S. Moshier, T. Rey
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