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Marginal likelihood, conditional likelihood and empirical likelihood: Connections and applications
Biometrika, 2005Marginal likelihood and conditional likelihood are often used for eliminating nuisance parameters. For a parametric model, it is well known that the full likelihood can be decomposed into the product of a conditional likelihood and a marginal likelihood. This property is less transparent in a nonparametric or semiparametric likelihood setting.
Jing Qin, Biao Zhang
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Empirical Likelihood Comparison of Absolute Risks
Biometrical JournalABSTRACT In the competing risks setting, the ‐year absolute risk for a specific time (e.g., 2 years), also called the cumulative incidence function at time , is often interesting to estimate. It is routinely estimated using the nonparametric Aalen–Johansen estimator. This estimator handles right‐censored data and
Paul Blanche, Frank Eriksson
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A review of recent advances in empirical likelihood
Wiley Interdisciplinary Reviews: Computational Statistics, 2023Yichuan Zhao
exaly
On empirical composite likelihoods
2010Composite likelihood functions are convenient surrogates for the ordinary likelihood, when the latter is too difficult or even impractical to compute, and they may be more robust to model misspecication. One drawback of composite likelihood methods is that the composite likelihood analogue of the likelihood ratio statistic does not have the standard 2 ...
LUNARDON, NICOLA +2 more
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Empirical Likelihood with Applications
2017The maximum likelihood method for regular parametric models has many optimality properties. As a result, it is one of the most popular methods in statistical inference. However, model mis-specification is a big concern since a misspecified model may lead to bias results.
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Parametric Empirical Bayes Inference: Theory and Applications
Journal of the American Statistical Association, 1983Carl N Morris
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Connections Among Marginal Likelihood, Conditional Likelihood and Empirical Likelihood
2017In this Chapter we present the results by Qin and Zhang (Biometrika 92:251–270, 2005) and Li and Qin (JASA 496:1476–1484, 2011) on the connection between marginal likelihood, conditional likelihood and empirical likelihood.
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