Sandbox method for factorial moments and anomalous fractal dimensions

Factorial moments of point processes

We derive joint factorial moment identities for point processes with Papangelou intensities. Our proof simplifies previous combinatorical approaches to the computation of moments for point processes. We also obtain new explicit sufficient conditions for the distributional invariance of point processes with Papangelou intensities under random transformations.

Factorial moments of continuous order.

The normalized factorial moments Fq are continued to noninteger values of the order q, satisfying the condition that the statistical fluctuations remain filtered out. That is, for Poisson distribution Fq = 1 for all q. The continuation procedure is designed with phenomenology and data analysis in mind. Examples are given to show how Fq can be obtained for positive and negative values of q. With...

Evaluation of fractal dimensions for analysis of aggregate stability

FONT DISCRIMINATIO USING FRACTAL DIMENSIONS

One of the related problems of OCR systems is discrimination of fonts in machine printed document images. This task improves performance of general OCR systems. Proposed methods in this paper are based on various fractal dimensions for font discrimination. First, some predefined fractal dimensions were combined with directional methods to enhance font differentiation. Then, a novel fractal dime...

MC Sandbox - Tool Support for Method Configuration

Method configuration (MC) has been presented as a particular kind of method engineering (ME). ME in general is often a tedious and time consuming task and method configuration is no exception. Consequently, tool support is often required. In this paper we present an operationalization of the Method for Method Configuration into the tool support MC Sandbox. The functionality in MC Sandbox emphas...