Spherical Process Models for Global Spatial Statistics

Properties of Spatial Cox Process Models

Probabilistic properties of Cox processes of relevance for statistical modeling and inference are studied. Particularly, we study the most important classes of Cox processes, including log Gaussian Cox processes, shot noise Cox processes, and permanent Cox processes. We consider moment properties and point process operations such as thinning, displacements, and superpositioning. We also discuss...

Spherical Statistics and Spatial Correlation for Multielement Antenna Systems

The well-known assumption of horizontal plane wave propagation is investigated and evidence suggests that elevation plays a crucial role in defining the spatial correlation between signals on adjacent antenna array elements. To augment previously published studies, an explicit relationship between the distribution of scatterers in three-dimensional (3D) space and the spatial correlation is form...

Spatial statistics: Methods, models & computation

a Department of Finance & Economics, Texas State University, United States b School of Public Health, University of Minnesota, United States c Institute for Economic Geography and GIScience, Vienna University of Economics and Business Administration, Austria d Centre for Statistics, Queen Mary, University of London, United Kingdom e Department of Geography, Queen Mary, University of London, Uni...

Multivariate Spatial Process Models

Global Statistics in Proximity Weighting Models

Information retrieval systems often use proximity or term dependence models to increase the effectiveness of document retrieval. Many of the existing proximity models examine document-level local statistics, such as the frequencies that pairs of query terms occur within fixed-size windows of each document, before applying standard or adapted weighting functions – for instance Markov Random Fiel...