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Limit Theory in Monotone Function Estimation
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DOI：10.1214/18-STS664.png)
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Abstract
En 中文
We give an overview of the different concepts and methods that are commonly used when studying the asymptotic properties of isotonic estimators. After introducing the inverse process, we illustrate its use in establishing weak convergence of the estimators at a fixed point and also weak convergence of global distances, such as the L-p-distance and supremum distance. Furthermore, we discuss the developments on smooth isotonic estimation.
Keywords:
Cox model
current status model
isotonic estimation
limit theory
L-p-distance
maximum likelihood estimators
monotone density
monotone failure rate
monotone regression
supremum distance
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