scholarly journals Adaptive estimation in the supremum norm for semiparametric mixtures of regressions

2020 ◽  
Vol 14 (1) ◽  
pp. 1816-1871
Author(s):  
Heiko Werner ◽  
Hajo Holzmann ◽  
Pierre Vandekerkhove
Keyword(s):  
Adaptive Estimation ◽  
Supremum Norm ◽  
Semiparametric Mixtures ◽  
Mixtures Of Regressions

scholarly journals Semiparametric mixtures of regressions

2012 ◽  
Vol 24 (1) ◽  
pp. 19-38 ◽  
Author(s):  
David R. Hunter ◽  
Derek S. Young
Keyword(s):  
Semiparametric Mixtures ◽  
Mixtures Of Regressions

A reliable adaptive estimation method for the installation error of optical angular encoder in outfield tests

Measurement ◽  
2021 ◽  
Vol 174 ◽  
pp. 109035
Author(s):  
Xuxing Zhao ◽  
Renjian Feng ◽  
Yinfeng Wu ◽  
Ning Yu ◽  
Xiaofeng Meng ◽  
...  
Keyword(s):  
Adaptive Estimation ◽  
Estimation Method

scholarly journals Adaptive Stochastic Filtration Based on the Estimation of the Covariance Matrix of Measurement Noises Using Irregular Accurate Observations

Inventions ◽  
2021 ◽  
Vol 6 (1) ◽  
pp. 10
Author(s):  
Sergey Sokolov ◽  
Arthur Novikov ◽  
Marianna Polyakova
Keyword(s):  
Covariance Matrix ◽  
Adaptive Estimation ◽  
Observation System ◽  
Mobile Object ◽  
New Approach ◽  
Measurement Systems ◽  
System Parameters ◽  
Traditional Scheme ◽  
Adaptive Filtration ◽  
Measurement Noises

In measurement systems operating under various disturbances the probabilistic characteristics of measurement noises are usually known approximately. To improve the observation accuracy, a new approach to the Kalman’s filter adaptation is proposed. In this approach, the Covariance Matrix of Measurement Noises (CMMN) is estimated by accurate measurements detected irregularly by the mobile object observation system (from radiofrequency identifiers, etalon reference, fixed points etc.). The problem of adaptive estimation of the observer’s noises covariance matrix in the Kalman filter is solved analytically for two cases: mutual noises correlation, and its absence. The numerical example for adaptive filtration of complexing navigation system parameters of a mobile object using irregular accurate measurements is given to illustrate the effectiveness of the proposed algorithm. Coordinate estimating errors have changed in comparison with the traditional scheme from 100 m to 2 m in latitude, and from 200 m to 1.5 m in longitude.

scholarly journals Solvability of an infinite system of integral equations on the real half-axis

2020 ◽  
Vol 10 (1) ◽  
pp. 202-216
Author(s):  
Józef Banaś ◽  
Weronika Woś
Keyword(s):  
Integral Equations ◽  
Measure Of Noncompactness ◽  
Infinite System ◽  
Main Tool ◽  
Supremum Norm ◽  
Nonlinear Integral Equations ◽  
Measures Of Noncompactness ◽  
System Of Integral Equations ◽  
The Real ◽  
Half Axis

Abstract The aim of the paper is to investigate the solvability of an infinite system of nonlinear integral equations on the real half-axis. The considerations will be located in the space of function sequences which are bounded at every point of the half-axis. The main tool used in the investigations is the technique associated with measures of noncompactness in the space of functions defined, continuous and bounded on the real half-axis with values in the space l∞ consisting of real bounded sequences endowed with the standard supremum norm. The essential role in our considerations is played by the fact that we will use a measure of noncompactness constructed on the basis of a measure of noncompactness in the mentioned sequence space l∞. An example illustrating our result will be included.

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