Online Program Home
My Program

Abstract Details

Activity Number: 75 - Probability and Statistics
Type: Contributed
Date/Time: Sunday, July 28, 2019 : 4:00 PM to 5:50 PM
Sponsor: IMS
Abstract #305060 Presentation
Title: A New Approach to the Expected Euler Characteristic
Author(s): Khalil Shafie*
Companies: University of Northern Colorado
Keywords: Gaussian Random field; Euler Characteristic; Excursion set; Excursion probability; Point process

The expected Euler Characteristic (EC) of the excursion set for random fields is used to approximate the distribution of the maximum of the field. This expected value is derived for many random fields, mainly, using a generalized version of Rice's approach for one-dimensional fields. In this work, by considering the EC of the excursion set at the threshold level u, as a point process with the parameter u, the expected EC is derived for a centralized, unit variance Gaussian field. The suggested method can be used for other Gaussian related random fields.

Authors who are presenting talks have a * after their name.

Back to the full JSM 2019 program