We consider the direction-of-arrival (DOA) problem for a wavefront whose amplitude and phase vary randomly along the array aperture. This phenomenon can for instance originate from propagation through an inhomogeneous medium. A simple and accurate DOA estimator is derived in the case of an uniform linear array of sensors. The estimator is based upon a reduced statistic obtained from the sub-dia...

It is shown that a method of robust estimation in a two way crossed classification mixed model, recently proposed by Bednarski and Zontek (1996), can be extended to a more general case of variance components model with commutative a covariance matrices.

In this paper location M estimator is used to inspect the over and under fill liquid level of bottle in machine vision system. Different optimal edge detection algorithms such as MarrHilderth algorithm LoG, Canny algorithm and Shen Castan algorithm are used for liquid level inspection in industry until now. The filling level in a bottle is computed as an average distance from a specific referen...

We consider a multi-phase random regression model, discontinuous in each changepoint, with an arbitrary error ε. In the case that the number of jumps is known, the M-estimator for the locations of the jumps and for the coefficient parameters are studied. These estimators are consistent and the distribution for the estimators of the coefficients is Gaussian. The estimators of the change-points c...

A new robust clustering algorithm, called generalized annealing M-estimator (GAM-estimator), is proposed. Initialized with multiple seeds, the GAM-estimator converges to several optimal cluster centers. Neither knowledge about the number of clusters nor scale is needed. The global optimal solution of clustering is achieved by minimization of an objective function. The algorithm is applied to un...

Suppose that in a stationary M/M/c queueing system with arrival rate and service rate , customers may be lost via either balking with probability $ or reneging at rate. All of , and the loss parameter $ or as applicable are unknown and are to be estimated from transactional data (i.e. the set of service initiation and service completion epochs) observed on a (long) time interval of length T. Th...

We propose estimating the scale parameter (mean of eigenvalues) scatter matrix an unspecified elliptically symmetric distribution using weights obtained by solving Tyler's M-estimator matrix. The proposed weights-based estimate (TWE) is then used to construct affine equivariant as a weighted sample covariance normalized weights. develop unified framework for unknown tail elliptical (such degree...

We consider the problem of robust state estimation in the presence of integrity attacks. There are m sensors monitoring a dynamical process. Subject to the integrity attacks, p out of m measurements can be arbitrarily manipulated. The classical approach such as the MMSE estimation in the literature may not provide a reliable estimate under this so-called (p,m)-sparse attack. In this work, we pr...