Results 231 to 240 of about 390,909 (264)

On the Empirical Likelihood Ratio for Smooth Functions of M‐functionals

Scandinavian Journal of Statistics, 1997
It is known that the empirical likelihood ratio can be used to construct confidence regions for smooth functions of the mean, Fréchet differentiable statistical functionals and for a class of M‐functionals. In this paper, we argue that this use can be extended to the class of functionals which are smooth functions of M‐functionals.
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The Plausibility and Likelihood Functions

2003
The notion of likelihood is an important concept in modern statistics. In particular, the likelihood ratio has been used by several authors [19, 37] to measure the strength of the evidence represented by observations in statistical problems. This idea works fine when the goal is to evaluate the strength of the available evidence for a simple hypothesis
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A deviance function for the quasi-likelihood method

Biometrika, 1993
Summary: We introduce a deviance function that can be used in conjunction with the quasi-likelihood method. The need for such functions arises when the quasi-log likelihood function is not uniquely defined. The deviance is obtained by projecting a pair of centered likelihood ratios onto the direct sum of two Hilbert spaces spanned by the observations ...
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Entropies of Likelihood Functions

1992
We 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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Estimating Functions and Approximate Conditional Likelihood

Biometrika, 1987
The 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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Soft likelihood functions in combining evidence

Information Fusion, 2017
Abstract We develop an approach for flexible computation of likelihood functions of probabilistic evidence in the context of forensic crime investigations. An ordered weighted average (OWA) aggregation approach allows a softening of the strong likelihood constraint of requiring all such evidence.
Ronald R. Yager, Paul Elmore, Frederick E. Petry   +2 more
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Information from the maximized likelihood function

Biometrika, 1985
Suppose 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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Likelihood-enhanced fast rotation functions

Acta Crystallographica Section D Biological Crystallography, 2004
Experiences with the molecular-replacement program Beast have shown that maximum-likelihood rotation targets are more sensitive to the correct orientation than traditional targets. However, this comes at a high computational cost: brute-force rotation searches can take hours or even days of computation time on current desktop computers.
Laurent C, Storoni, Airlie J, McCoy, Randy J, Read   +2 more
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An approximation to the modified profile likelihood function

Biometrika, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Comparison of Parametric and Empirical Likelihood Functions

Biometrika, 1989
A detailed study of differences between parametric and empirical likelihood surfaces is made. In particular first- and second-order expansions for log likelihood functions are developed in nonparametric and parametric situations, where attention is confined to inference on a smooth function of an r-variate mean.
DiCiccio, Thomas J., Hall, Peter, Romano, Joseph P.   +2 more
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