Free area estimation in a dynamic germ-grain model with renewal dropping process

Free area estimation in a dynamic germ-grain model with renewal dropping process

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Article ID: iaor20084575
Country: United States
Volume: 2006
Issue: 50786
Start Page Number: 1
End Page Number: 14
Publication Date: Jan 2006
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors:
Keywords: stochastic processes
Abstract:

A partially observed dynamic germ-grain model with renewal dropping process is considered. The expected fraction of free area function is estimated by a product integral-type estimator. Uniform consistency and asymptotic Gaussianity of the estimator are proved. Confidence bands and simulation results are also provided.

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