JSM 2004 - Toronto

Abstract #301271

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Activity Number: 312
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 8:30 AM to 10:20 AM
Sponsor: General Methodology
Abstract - #301271
Title: Residual Analysis of Multidimensional Point Process Models for Earthquake Occurrences and Goodness-of-fit Assessment Using a Weighted Analog of Ripley's K-function
Author(s): Alejandro Veen*+ and Frederic P. Schoenberg
Companies: University of California, Los Angeles and University of California, Los Angeles
Address: Dept. of Statistics, 8130 Math Sciences Bldg., Los Angeles, CA, 90095-1554,
Keywords: point process ; residual analysis ; K-function ; earthquakes
Abstract:

This work presents alternative approaches for assessing goodness of fit for multidimensional point process models. One new technique, based on an idea of P. Brémaud, involves augmenting the dataset with an additional dimension to create a residual point process. The procedure is applied to commonly used models for California earthquake occurrence data and the results are compared to other residual analysis methods as rescaling and thinning. Furthermore, a statistic which involves a weighted analog of Ripley's K-function is proposed for evaluating goodness of fit.

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