The Geospatial Web provides data as well as processing functionality using web interfaces. Typical examples of such processes are models and predictions for spatial data, known as spatial statistics. Such analyses are written by domain experts in scripting languages and rarely exposed as web services. We present a concept of script annotations for automatic deployment in server runtime environm...

in collaboration with Nicky Best and Katja Ickstadt 1 ' & $ % Moving Averages One common and flexible way of constructing stationary time series (discrete-time stochastic processes) is to begin with an i.i.d. X i ≡ j b j ζ i−j where j typically runs from 0 to some finite q ∈ N (or occasionally from 0 to ∞ or even from −∞ to ∞). It is straightforward to compute the mean and covariance of X i and...

In recent years, networks derived from complex systems have been studied not just in terms of global properties like degree distributions, but also in terms of motifs, small subgraphs whose appearances can be examined statistically. Motifs which occur more often than chance predicts are often presumed to indicate some feature of local structure which is preferred for biological, physical or geo...

Most early programs (and far too many recent ones) have taken a purely metric approach to the interpolation (or contouring) problem for arbitrarily distributed data points. They collected all data points within a given distance from the estimation point, or the nearest six, or other variants intended to select both a "reasonable" number of data points, and also to select a "surrounding" set. Mo...

We develop a novel method for detection of signals and reconstruction of images in the presence of random noise. The method uses results from percolation theory. We specifically address the problem of detection of multiple objects of unknown shapes in the case of nonparametric noise. The noise density is unknown and can be heavy-tailed. The objects of interest have unknown varying intensities. ...

The likelihood ratio spatial scan statistic has been widely used in spatial disease surveillance and spatial cluster detection applications. In order to better understand cluster mechanisms, an equivalent model-based approach is proposed to the spatial scan statistic that unifies currently loosely coupled methods for including ecological covariates in the spatial scan test. In addition, the uti...

Measurements on embryonic epithelial tissues in a diverse range of organisms have shown that the statistics of cell neighbor numbers are universal in tissues where cell proliferation is the primary cell activity. Highly simplified non-spatial models of proliferation are claimed to accurately reproduce these statistics. Using a systematic critical analysis, we show that non-spatial models are no...

1. Prove the results about the smoothness of the members of the Matèrn family. Proof. From the class we know that for small values of τ , we have K ν (τ) ≈ Γ(ν)2 ν−1 τ −ν. Also, for the derivatives we have that d dτ (τ ν K ν (τ)) = −τ ν K ν−1 (τ). If the Matèrn family has the correlation function ρ(τ) = 1 Γ(ν)2 ν−1 τ ν K ν (τ), then ρ (τ) = −1 Γ(ν)2 ν−1 τ ν K ν−1 (τ) Note that K ν (τ) = K −ν (τ...

From the known statistics of fiber-fiber contacts in random fiber networks, an analytic estimate is obtained for the variance of local porosity in random fiber suspensions and evolving filtrate networks. The variance of local porosity, and hence the distribution of projected areal density, seem to depend on fiber geometry only through the cube of mean diameter. Also, the coefficient of variatio...

Numerical models are a key component of methodologies used to estimate tsunami risk, and model predictions are essential for the development of tsunami hazard assessments (THAs). By better understanding model bias and variability and, if possible, minimizing them, more reliable THAs will result. In this study, the authors compare run-up height, inundation lines, and flow-velocity field measurem...