It is a general practice to use robust estimates improve ratio estimators using functions of the parameters an auxiliary variable. In this study, new class based upon minimum covariance determinant (MCD) and volume ellipsoid (MVE) have been suggested for estimating population variance in presence outlier values data set simple random sampling. The expression mean square error (MSE) proposed der...

In this work, we propose a novel formulation for the solution of partial differential equations using finite element methods on unfitted meshes. The proposed relies discrete extension operator in aggregated method. This is robust with respect to location boundary/interface within cell. One can prove enhanced stability results, not only physical domain, but whole active mesh. However, constants ...

For a class of second order underactuated mechanical systems, a robust finite time control strategy is developed in this paper. The robust finite time controller is to drive the tracking error to be zero at the fixed final time. In order to assure system stability, we present a generalized Lyapunov stability proof for the second order underactuated mechanical system. By utilizing a Lyapunov sta...