Distribution-free properties of isotonic regression (Q2326057)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distribution-free properties of isotonic regression |
scientific article |
Statements
Distribution-free properties of isotonic regression (English)
0 references
4 October 2019
0 references
The authors proved a very general result, that the slopes of the greatest convex minorant are distributed as order statistics of the running averages assuming only that the walk has exchangeable increments. Furthermore, the paper points out some consequences of the proven result in the context of homoscedastic isotonic regression.
0 references
shape-constrained regression
0 references
statistical dimension
0 references
convex minorant
0 references
fluctuation theory
0 references
quantiles of stochastic processes
0 references