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Information from the maximized likelihood function
Biometrika, 1985Suppose x = (x1, ..., xj) is a random sample of either scalar or vector observations from a density f(x, c(), where w( E Q is partitioned into a set 0 = (01, ..., Or) of parameters of direct interest and 4 = (4 1, ..., 4,q) of nuisance parameters.
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On empirical likelihood statistical functions
Journal of Econometrics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zheng, G, Yuan, A, Xu, J
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Estimating Functions and Approximate Conditional Likelihood
Biometrika, 1987The approximate conditional likelihood method proposed by \textit{D. R. Cox} and \textit{N. Reid}, J. R. Stat. Soc., Ser. B 49, 1-39 (1987; Zbl 0616.62006) is applied to the estimation of a scalar parameter \(\theta\), in the presence of nuisance parameters.
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STATISTICAL INFERENCE WITH SIMULATED LIKELIHOOD FUNCTIONS
Econometric Theory, 1999Summary: This paper considers classical test statistics, namely, the likelihood ratio, efficient score, and Wald statistics, for econometric models under simulation estimation. The simulated likelihood ratio, simulated efficient score, and simulated Wald test statistics are shown to be asymptotically equivalent.
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Inferential estimation, likelihood, and maximum likelihood linear estimation functions
1991Abstract The purpose of’inferential’ estimation, as contrasted with ‘point’ estimation, is to make estimation statements. An estimation statement is a quantitative statement of uncertainty about μ using all the information supplied by X.
S R Chamberlin, D A Sprott
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Factoring the likelihood function
1996Abstract The likelihood function provides an overall assessment of the relative merits of different members of a given family of statistical models, although this must be balanced against their relative complexity. However, as we saw in Section 3.6.3, we often require measures of precision of the estimates of individual parameters in the
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Entropies of Likelihood Functions
1992We show that the normalized likelihood function needed to get from a prior probability vector to the posterior that results from the minimum cross-entropy inference process has the highest entropy among all probability vectors satisfying an appropriate set of linear constraints. We regard the domains of the entropy and cross-entropy functions as groups.
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Maximum Likelihood Transfer Function Modelling
1992A state-space realization of the transfer-function model of Box and Jenkins (1976) is used to compute the exact Gaussian likelihood of the stationary input-output series, (X t’ Y t),t = 1,…,n, and to compute the exact linear mean-square predictor of the output Y t+h based on (X t’ Y t),t = 1,…,n. We show how to use the state-space formulation for model
P. J. Brockwell, R. A. Davis, H. Salehi
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EMPIRICAL LIKELIHOOD AND DIFFERENTIABLE FUNCTIONALS
2016Empirical likelihood (EL) is a recently developed nonparametric method of statistical inference. It has been shown by Owen (1988,1990) and many others that empirical likelihood ratio (ELR) method can be used to produce nice confidence intervals or regions. Owen (1988) shows that -2logELR converges to a chi-square distribution with one degree of freedom
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Refinement of macromolecular structures by the maximum-likelihood method.
Acta Crystallographica Section D: Biological Crystallography, 1997G. Murshudov, A. Vagin, E. Dodson
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