Parametric estimation of the covariance density for a stationary point process on \({\mathbb{R}}^ d\) (Q1077118)
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scientific article; zbMATH DE number 3956277
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parametric estimation of the covariance density for a stationary point process on \({\mathbb{R}}^ d\) |
scientific article; zbMATH DE number 3956277 |
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Parametric estimation of the covariance density for a stationary point process on \({\mathbb{R}}^ d\) (English)
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1986
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A stationary point process on d-dimensional Euclidean space is observed, whose covariance density depends on an unknown k-dimensional parameter vector \(\theta\). Conditions are given under which the minimum contrast estimator of \(\theta\) is weakly consistent, and conditions are given under which the minimum contrast estimator of \(\theta\) is asymptotically normally distributed.
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Brillinger-mixing
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stationary point process
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vague topology
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covariance density
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minimum contrast estimator
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weakly consistent
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asymptotically normally
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0.8002607822418213
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0.798443078994751
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0.7978481650352478
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