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Activity Number:
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510
- New Developments in Time Series Analysis and Change Point Detection
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Type:
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Contributed
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Date/Time:
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Wednesday, August 2, 2017 : 10:30 AM to 12:20 PM
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Sponsor:
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IMS
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Abstract #324478
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View Presentation
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Title:
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A Time Series Model for Boolean Random Sets
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Author(s):
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Khalil Shafie* and Mostafa Zahed
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Companies:
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University of Northern Colorado and University of Northern Colorado
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Keywords:
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Random closed set ;
, Boolean model, ;
Poisson Time Series ;
Maximum Likelihood
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Abstract:
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In this work, we consider a time series model for a series of Boolean random sets. In this model, the Poisson processes of the Boolean random sets are correlated through an autoregressive model of order p. The associated grains of the Boolean random sets are assumed to have a circular form with a random radius. We use the number of lower positive tangent points in a window W to find the maximum likelihood estimation of the parameters of the proposed model. In a simulation study, the large sample properties of estimators are evaluated. Finally, the model is used to analyze the Rocky Mountain Pine Beetle data.
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Authors who are presenting talks have a * after their name.
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