Multifractal modelling and simulation of rain fields exhibiting spatial heterogeneity

Multifractal modelling and simulation of rain fields exhibiting spatial heterogeneity

Spatial multifractals are statistically homogeneous random fields. While being useful to model geophysical fields exhibiting a high degree of variability and discontinuity and including rainfall, they ignore the spatial trends embedded in the variability that are evident from large temporal aggregation of spatial fields. The modelling of rain fields using multifractals causes the information re...

Efficient Modelling and Simulation of Random Fields

The application of random fields to real-world problems, e.g. for assessing the robustness and reliability of structural components with geometrical or material tolerances, has gained much interest recently. However, the large number of random variables involved inhibits the use of accurate and efficient methods to compute failure probabilities. Several measures to handle the large dimension or...

Bayesian Modelling of Spatial Heterogeneity in Disease

The Spatial-temporal Statistics of Rain Rate Random Fields

Short Title: Spatial-Temporal Statistics of Rain. Abstract Rain rate near the ground can be interpreted as a collection of random variables forming a random field parameterised by three coordinates: two spatial coordinates and one temporal. Interest among the radio propagation community has been focused on the first order statistics of these random variables, principally on the average annual p...

Aspects of Multifractal Modelling

The Concentration-Area (C-A) method is applied to geochemical map patterns satisfying the model of De Wijs. Results derived for the spatial distribution of gold in altered Jurassic volcanic rocks in the MitchellSulphurets area of northwestern British Columbia confirm earlier multifractal modelling. However, the possibility of departures from the Pareto-type upper tail model of the frequency dis...