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The progressively truncated estimating functions and estimators - MaRDI portal

The progressively truncated estimating functions and estimators (Q582755)

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scientific article; zbMATH DE number 4131448
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English
The progressively truncated estimating functions and estimators
scientific article; zbMATH DE number 4131448

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    The progressively truncated estimating functions and estimators (English)
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    1988
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    The PT (progressively truncated) estimators of an unknown parameter \(\theta \in R^ 1\) which are defined as estimators based on the PT estimating functions are considered as a generalization of the PT maximum likelihood estimators. It is verified that PT estimating functions converge to a Gaussian process under the true parameter \(\theta_ 0\). The uniform consistency of PT estimators and their weak convergence to a Gaussian process are proved.
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    progressively truncated estimating functions
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    progressively truncated likelihood estimating functions
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    maximum likelihood estimators
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    survival analysis
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    survivor function
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    progressive censoring
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    progressive truncation
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    martingale inequality
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    Gaussian process
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    uniform consistency
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    weak convergence
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