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Parametric statistics

About: Parametric statistics is a research topic. Over the lifetime, 39200 publications have been published within this topic receiving 765761 citations.


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Journal ArticleDOI
TL;DR: The methodology is compared with standard algorithms such as the computed torque method and is shown to combine in practice improved performance with simpler and more tractable controller designs.
Abstract: A new scheme is presented for the accurate tracking control of robot manipulators. Based on the more general suction control methodology, the scheme addresses the following problem: Given the extent of parametric uncertainty (such as imprecisions or inertias, geometry, loads) and the frequency range of unmodeled dynamics (such as unmodeled structural modes, neglected time delays), design a nonlinear feedback controller to achieve optimal tracking performance, in a suitable sense. The methodology is compared with standard algorithms such as the computed torque method and is shown to combine in practice improved performance with simpler and more tractable controller designs.

689 citations

Journal ArticleDOI
TL;DR: Guaranteed cost control is a method of synthesizing a closed-loop system in which the controlled plant has large parameter uncertainty as mentioned in this paper, and it can be incorporated into an adaptive system by either online measurement and evaluation or prior knowledge on the parametric dependence of a certain easily measured situation parameter.
Abstract: Guaranteed cost control is a method of synthesizing a closed-loop system in which the controlled plant has large parameter uncertainty This paper gives the basic theoretical development of guaranteed cost control, and shows how it can be incorporated into an adaptive system The uncertainty in system parameters is reduced first by either: 1) on-line measurement and evaluation, or 2) prior knowledge on the parametric dependence of a certain easily measured situation parameter Guaranteed cost control is then used to take up the residual uncertainty It is shown that the uncertainty in system parameters can be taken care of by an additional term in the Riccati equation A Fortran program for computing the guaranteed cost matrix and control law is developed and applied to an airframe control problem with large parameter variations

688 citations

Journal ArticleDOI
TL;DR: The occurrence of time‐locked activations is formulated in terms of the general linear model, i.e., multiple linear regression, which permits the use of established statistical techniques that correct for multiple comparisons in the context of spatially smooth and serially correlated data.
Abstract: We present a method for detecting event-related responses in functional magnetic resonance imaging (fMRI). The occurrence of time-locked activations is formulated in terms of the general linear model, i.e., multiple linear regression. This permits the use of established statistical techniques that correct for multiple comparisons in the context of spatially smooth and serially correlated data. Responses are modelled using event-related temporal basis functions. Inferences are then made about all components of the model, using the F-ratio at all voxels in the image, to produce a statistical parametric map (SPM{F}). This method allows for the experimental design to relate the timing of events to the acquisition of data to give a temporal resolution (with respect to the event-related response) far better than the scanning repeat time.

688 citations

Journal ArticleDOI
TL;DR: In this paper, the existence, support size, likelihood equations, and uniqueness of the estimator are revealed to be directly related to the properties of the convex hull of the likelihood set and the support hyperplanes of that hull.
Abstract: In this paper certain fundamental properties of the maximum likelihood estimator of a mixing distribution are shown to be geometric properties of the likelihood set. The existence, support size, likelihood equations, and uniqueness of the estimator are revealed to be directly related to the properties of the convex hull of the likelihood set and the support hyperplanes of that hull. It is shown using geometric techniques that the estimator exists under quite general conditions, with a support size no larger than the number of distinct observations. Analysis of the convex dual of the likelihood set leads to a dual maximization problem. A convergent algorithm is described. The defining equations for the estimator are compared with the usual parametric likelihood equations for finite mixtures. Sufficient conditions for uniqueness are given. Part II will deal with a special theory for exponential family mixtures.

674 citations

Journal ArticleDOI
TL;DR: Numerical results support this approach, as validated by the use of these algorithms on complex sequences, and two robust estimators in a multi-resolution framework are developed.

673 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20252
20242
20233,966
20227,822
20211,968
20202,033