We show, by the method of cumulants, that checking whether the central limit theorem for sums of Wick powers of a stationary sequence holds can be reduced to the study of an associated graph problem (see Corollary 1). We obtain thus central limit theorems under various integrability conditions on the cumulant spectral functions (Theorems 2, 3). 1 A. Introduction. Let X¡ be a zero mean stationar...

The spectral moments of the edge adjacency matrix recently have been successfully employed in quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR) studies of alkanes, alkyl halides, benzyl alcohols, and cycloalkanes.1-3 In this work we examined spectral moments of the edge adjacency matrix of benzenoid hydrocarbons. We designed combinatoria...

This paper describes a novel method for recovering the perspective geometry of textured surfaces from local spectral moments. It commences by computing the Fourier power spectrum at each of a series of local neighbourhoods. We illustrate how the vanishing point of the global perspective geometry can be estimated from local spectral moments. This is a two-step process. We commence by identifying...

The present study examines the temporal and spectral characteristics of Greek fricatives (duration and spectral moments, i.e. mean, variance, skewness, kurtosis) as distinctive cues for their place of articulation. The effects of voicing, speaker’s gender and post-fricative vowel on both duration and spectral moments are also investigated. The results indicate that noise duration does not disti...

Hidden semi-Markov models (HSMMs) are latent variable models which allow latent state persistence and can be viewed as a generalization of the popular hidden Markov models (HMMs). In this paper, we introduce a novel spectral algorithm to perform inference in HSMMs. Unlike expectation maximization (EM), our approach correctly estimates the probability of given observation sequence based on a set...