We give a new adaptive method for selecting the number of upper order statistics used in the estimation of the tail of a distribution function. Our approach is based on approximation by an exponential model. The selection procedure consists in consecutive testing for the hypothesis of homogeneity of the estimated parameter against the change-point alternative. The selected number of upper order...

We introduce a kernel-based method for change-point analysis within a sequence of temporal observations. Change-point analysis of an unlabelled sample of observations consists in, first, testing whether a change in the distribution occurs within the sample, and second, if a change occurs, estimating the change-point instant after which the distribution of the observations switches from one dist...

We propose a new method for the estimation of a 3D shape of non-convex object from an image sequence taken with the object rotating under a fixed light source. First, all the territory candidate of the object is prepared in voxel space. The empty voxels are selected by using the cross-section estimation using a silhouette that is the conventional method. In this method, we think a ray that conn...

Change-point methodologies applied to statistical process control are predicated on the possibility that a special cause induces a shift from an in-control statistical model to an out-ofcontrol statistical model, and so are particularly attractive for persistent special causes. Along with indications of a loss of control, they provide estimates of when the shift occurred, and (if needed) of the...

In the present paper, we develop a new efficient approach to detection of abrupt changes in a sequence of recognized digital images, which can be applied to a wide variety of practical problems of digital image processing. The principal idea of this approach consists in transforming an original sample of the observed data to a set of onedimensional statistics and measuring a distance from homog...

We tackle the change-point problem with data belonging to a general set. We propose a penalty for choosing the number of change-points in the kernel algorithm of Harchaoui and Cappé (2007). This penalty generalizes the one proposed for one dimensional signals by Lebarbier (2005). We prove it satisfies a non-asymptotic oracle inequality by showing new concentration results in Hilbert spaces. Exp...

No matter whether it is acoustic waves, quantum matter waves or optical waves of a laser—all kinds of waves can be in different states of oscillation, corresponding to different frequencies. Calculating these frequencies is part of the tools of the trade in theoretical physics. Recently, however, a special class of systems has caught the attention of the scientific community, forcing physicists...