On the convergence of the ensemble Kalman filterInstitute of Mathematics, Czech Academy of Sciences - Tập 56 - Trang 533-541 - 2012
Jan Mandel, Loren Cobb, Jonathan D. Beezley
Convergence of the ensemble Kalman filter in the limit for large ensembles to the Kalman filter is proved. In each step of the filter, convergence of the ensemble sample covariance follows from a weak law of large numbers for exchangeable random variables, the continuous mapping theorem gives convergence in probability of the ensemble members, and L
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Asymptotics of the regression quantile basic solution under misspecificationInstitute of Mathematics, Czech Academy of Sciences - Tập 53 - Trang 223-234 - 2008
Keith Knight
We consider the asymptotic distribution of covariate values in the quantile regression basic solution under weak assumptions. A diagnostic procedure for assessing homogeneity of the conditional densities is also proposed.
Identification problems for degenerate parabolic equationsInstitute of Mathematics, Czech Academy of Sciences - Tập 58 - Trang 389-404 - 2013
Fadi Awawdeh, Hamed M. Obiedat
This paper deals with multivalued identification problems for parabolic equations. The problem consists of recovering a source term from the knowledge of an additional observation of the solution by exploiting some accessible measurements. Semigroup approach and perturbation theory for linear operators are used to treat the solvability in the strong sense of the problem. As an important applicatio...... hiện toàn bộ
Unilateral dynamic contact of von Kármán plates with singular memoryInstitute of Mathematics, Czech Academy of Sciences - Tập 52 - Trang 515-527 - 2007
Igor Bock, Jiří Jarušek
The solvability of the contact problem is proved provided the plate is simply supported. The singular memory material is assumed. This makes it possible to get a priori estimates important for the strong convergence of gradients of velocities of solutions to the penalized problem.