0000000000133091

AUTHOR

N. G. Ushakov

showing 2 related works from this author

Estimation of orientation characteristic of fibrous material

2001

A new statistical method for estimating the orientation distribution of fibres in a fibre process is suggested where the process is observed in the form of a degraded digital greyscale image. The method is based on line transect sampling of the image in a few fixed directions. A well-known method based on stereology is available if the intersections between the transects and fibres can be counted. We extend this to the case where, instead of the intersection points, only scaled variograms of grey levels along the transects are observed. The nonlinear estimation equations for a parametric orientation distribution as well as a numerical algorithm are given. The method is illustrated by a real…

Statistics and ProbabilityMathematical optimizationOrientation (computer vision)Applied Mathematics010102 general mathematicsGeometry01 natural sciencesGrayscaleIntersection (Euclidean geometry)010104 statistics & probabilityNonlinear systemDigital imageLine (geometry)0101 mathematicsTransectMathematicsParametric statisticsAdvances in Applied Probability
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A consistent modification of a test for independence based on the empirical characteristic function

1998

A modification of a test for independence based on the empirical characteristic function is investigated. The initial test is not consistent in the general case. The modification makes the test always consistent and asymptotically distribution free. It is based on a special transformation of the data.

Statistics and ProbabilityDistribution freeTransformation (function)Characteristic function (probability theory)Applied MathematicsGeneral MathematicsMathematical analysisApplied mathematicsEmpirical characteristic functionIndependence (probability theory)MathematicsTest (assessment)Journal of Mathematical Sciences
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