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Likelihood ratios in asymptotic statistical theory

2010
This thesis deals with two topics in asymptotic statistics. A concept of asymptotic optimality for sequential tests of statistical hypotheses is introduced. Sequential Probability Ratio Tests are shown to have asymptotic optimality properties corresponding to their usual optimality properties. Secondly, the asymptotic power of Pearson's chi-square test
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Improved Likelihood Ratio Statistics for Covariance Selection Models

Biometrika, 1985
SUMMARY The expected value of the likelihood ratio statistic for covariance selection models, when this statistic has a closed form, is derived correct to terms of order n- 2, n being the sample size. Then a Bartlett-type correction factor is available for such statistics. By simulation, the practical use of such a correction factor is illustrated, and
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A Normal Approximation for the Multivariate Likelihood Ratio Statistics

1981
For many multivariate hypotheses, under the normality assumptions, the likelihood ratio tests are optimal in the sense of having maximal exact slopes. The exact distributions needed for implementing these tests are complex and their tabulation is limited in scope and accessibility.
Govind S. Mudholkar   +1 more
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Adjusting composite likelihood ratio statistics

2011
Composite likelihood may be useful for approximating likelihood based inference when the full likelihood is too complex to deal with. Stemming from a misspecified model, inference based on composite likelihood requires suitable corrections. Here we focus on the composite likelihood ratio statistic for a multidimensional parameter of interest, and we ...
PACE L   +2 more
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STATISTICAL BRIEFING: LIKELIHOOD RATIOS

Veterinary Radiology & Ultrasound, 2007
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