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The method of maximum likelihood
1998Abstract Consider a random variable x distributed according to a p.d.f. f(x; θ). Suppose the functional form of f(x; θ) is known, but the value of at least one parameter θ (or parameters θ = (θ 1, … , θ m)) are not known. That is, f ( x; θ) represents a composite hypothesis for the p.d.f. (cf. Section 4.1).
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Maximum‐likelihood estimation for the removal method
Canadian Journal of Statistics, 1994AbstractWe prove that the profile log‐likelihood function for the removal method of estimating population size is unimodal. The result is obtained by a variation‐diminishing property of the Laplace transform. An implication of this result is that the likelihood‐ratio confidence region for the population size is always an interval.
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A maximum likelihood method for fitting colour-magnitude diagrams
, 2006We present a maximum-likelihood method for fitting two-dimensional model distributions to stellar data in colour–magnitude space. This allows one to include (for example) binary stars in an isochronal population.
T. R. Jeffries
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1974
In den vorausgegangenen Kapiteln wurden Parameterschatzmethoden behandelt, bei denen keine besonderen Annahmen uber die Verteilungsdichte des Storsignals oder Fehlersignals gemacht werden musten. Die Annahme von Modellen, deren Fehlersignal linear in den Parametern ist, erlaubte dann bei der nichtrekursiven Methode der kleinsten Quadrate eine direkte ...
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In den vorausgegangenen Kapiteln wurden Parameterschatzmethoden behandelt, bei denen keine besonderen Annahmen uber die Verteilungsdichte des Storsignals oder Fehlersignals gemacht werden musten. Die Annahme von Modellen, deren Fehlersignal linear in den Parametern ist, erlaubte dann bei der nichtrekursiven Methode der kleinsten Quadrate eine direkte ...
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Estimating unknown parameters in uncertain differential equation by maximum likelihood estimation
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2022Yang Liu, Baoding Liu
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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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1974
In dealing with the problem of estimating the parameters of a structural system of equations, we had not, in previous chapters, explicitly stated the form of the density of the random terms appearing in the system. Indeed, the estimation aspects of classical least squares techniques and their generalization to systems of equations are distribution free,
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In dealing with the problem of estimating the parameters of a structural system of equations, we had not, in previous chapters, explicitly stated the form of the density of the random terms appearing in the system. Indeed, the estimation aspects of classical least squares techniques and their generalization to systems of equations are distribution free,
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Maximum-Likelihood Methods for Phylogeny Estimation
2005Maximum-likelihood (ML) estimation of phylogenies has reached a rather high level of sophistication because of algorithmic advances, improvements in models of sequence evolution, and improvements in statistical approaches and application of cluster computing.
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Die Maximum-Likelihood-Methode
2019In Kap. 5 haben wir Schatzer bezuglich gewisser Gutekriterien untersucht. Beispielsweise haben wir gesehen, dass im Kontext des Bernoullimodells die relative Haufigkeit \(\hat{p}\) ein sinnvoller Schatzer fur die Erfolgswahrscheinlichkeit p ist, denn \(\hat{p}\) ist konsistent, erwartungstreu und asymptotisch normalverteilt, vgl. Beispiel 4.4.
Michael Messer, Gaby Schneider
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Evolutionary trees from DNA sequences: A maximum likelihood approach
Journal of Molecular Evolution, 2005J. Felsenstein
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