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Estimation of a monotone density in \(s\)-sample biased sampling models - MaRDI portal

Estimation of a monotone density in \(s\)-sample biased sampling models (Q1800796)

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scientific article; zbMATH DE number 6964328
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English
Estimation of a monotone density in \(s\)-sample biased sampling models
scientific article; zbMATH DE number 6964328

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    Estimation of a monotone density in \(s\)-sample biased sampling models (English)
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    24 October 2018
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    This paper deals with the estimation of a decreasing density function in a general \(s\)-sample biased sampling model. The authors determine the monotone maximum likelihood estimator and its asymptotic distribution, yielding existence, uniqueness and consistency under suitable assumptions.
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    density estimation
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    empirical process theory
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    Karush-Kuhn-Tucker conditions
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    nonparametric estimation
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    order statistics from multiple samples
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    self-induced characterization
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    shape-constrained problem
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    \(s\)-sample biased sampling
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