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Free area estimation in a dynamic germ-grain model with renewal dropping process. (English) Zbl 1106.62104

Summary: A partially observed dynamic germ-grain model with renewal dropping process is considered. The expected fraction of free area functions 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.

MSC:

62M30 Inference from spatial processes
60K05 Renewal theory
62G20 Asymptotic properties of nonparametric inference
62M09 Non-Markovian processes: estimation
62M99 Inference from stochastic processes

Software:

spatial
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References:

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