Free area estimation in a partially observed dynamic germ-grain model

Marcello De Giosa and Rosa Maria Mininni

International Journal of Stochastic Analysis, 2002, vol. 15, 1-21

Abstract:

The estimation problem of the expected local fraction of free area function S for a partially observed dynamic germ-grain model is presented. Properties of the estimators are proved by martingale and product integral methods. Confidence bounds are provided. Furthermore, an estimator of the hazard rate α ( t ) = − d S ( t ) / ( S ( t ) d t ) is obtained by the kernel function method and asymptotic properties of the estimator are proved and used to find confidence intervals. By a simulated illustrative example, the qualitative behavior of the estimators is shown.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:207018

DOI: 10.1155/S1048953302000254

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