In this Paper we show how to use an on-line algorithm based on a multi-processKalman-filterextending ideas described in Whittaker and Frühwirth-Sehnatter (J. Whittaker, Frühwirth-Sehnatter, Appl. Stat. 43 (4) (1994)) to detect sequential Change-Points in noisy time series. We focus on types of Change-Points typically arising in biomedical Signals, i.e. jumps or drifts in nonstationary time seri...

Whittaker, V. P. (1971a) Ann. N. Y. Acad. Sci. 183, 21 Whittaker, V. P. (1971b) Advan. Cytopharmacol. 1, 319 Whittaker, V. P. (1972) in Structure and Function of Synapses (Pappas, G. D. & Purpura, D. P., eds.), Raven Press, New York Whittaker, V. P. & Barker, L. A. (1971) Methods Neurochem. 2, 1 Whittaker, V. P. & Sheridan, M. N. (1965) J. Neurochem. 12, 363 Whittaker, V. P., Michaelson, I. A. ...

*Correspondence: [email protected] 1Department of Mathematical Sciences, University of Essex, Wivenhoe Park, CO4 3SQ Colchester, UK Full list of author information is available at the end of the article Abstract Background: In many applications where moderate to large datasets are used, plotting relationships between pairs of variables can be problematic. A large number of observations will pr...

Vegetation response to nutrient addition can vary across space, yet studies that explicitly incorporate spatial pattern into experimental approaches are rare. To explore whether there are unique spatial scales (grains) at which grass response to nutrients and herbivory is best expressed, we imposed a large (∼3.75 ha) experiment in a South African coastal grassland ecosystem. In two of six 60 × ...

The Scale transform is a new representation for signals, offering perspective different from the Fourier transform. In this paper, we introduce the notion of a scale periodic function. These functions are then represented through the discrete scale series. We also define the notion of a strictly scale limited signal. Analogous to the Shannon interpolation formula, we show that such signals can ...

We study generalized and degenerate Whittaker models for reductive groups over local fields of characteristic zero (archimedean or non-archimedean). Our main result is the construction of epimorphisms from the generalized Whittaker model corresponding to a nilpotent orbit to any degenerate Whittaker model corresponding to the same orbit, and to certain degenerate Whittaker models corresponding ...

We classify irreducible Whittaker modules for generalized Heisenberg Lie algebra t and irreducible Whittaker modules for Lie algebra t̃ obtained by adjoining m degree derivations d1, d2, . . . , dm to t. Using these results, we construct imaginary Whittaker modules for non-twisted extended affine Lie algebras and prove that the imaginary Whittaker modules of Z-independent level are always irredu...

In this paper, Whittaker modules for the W -algebra W (2, 2) are studied. We obtain analogues to several results from the classical setting and the case of the Virasoro algebra, including a classification of simple Whittaker modules by central characters and composition series for general Whittaker modules.