Inference for random sampling processes (Q1823601)
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scientific article; zbMATH DE number 4115791
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inference for random sampling processes |
scientific article; zbMATH DE number 4115791 |
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Inference for random sampling processes (English)
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1989
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Results of sequential analysis are extended to the set of point processes with a random number of summands independent of the sequence of summands, here called random sampling processes. The extension of sufficiency and completeness properties is used to obtain optimal estimators and hypotheses tests for the process parameters. The main results are based on the process parameters and on the proof that the total number of points is partially sufficient for the intensity parameter.
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nonhomogeneous Poisson processes
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Cox processes
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optimal tests
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partial sufficiency
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random sampling processes
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sufficiency
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completeness
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optimal estimators
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hypotheses tests
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intensity parameter
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