The Min-Max algorithm and isotonic regression

DOI10.1214/aos/1176346153zbMath0521.62060OpenAlexW1976334997MaRDI QIDQ1055123

Chu-In Charles Lee

Publication date: 1983

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176346153

zbMATH Keywords

global minimumorder restrictionslocal maximumMin-Max algorithmpartially ordered isotonic regression

Mathematics Subject Classification ID

Linear inference, regression (62J99) Probabilistic methods, stochastic differential equations (65C99)

Related Items (16)

Strictly monotone and smooth nonparametric regression for two or more variables ⋮ The structure of isotonic regression class for LAD problems with quasi- order constraints ⋮ Maximum likelihood estimation for ordered expectations of correlated binary variables ⋮ A segmentation-based algorithm for large-scale partially ordered monotonic regression ⋮ A geometrical approach to iterative isotone regression ⋮ Hypothesis tests for normal means constrained by linear inequalities ⋮ A semiparametric isotonic regression model for skewed distributions with application to DNA–RNA–protein analysis ⋮ Estimation of parameters in the tree order restriction by a randomized decision ⋮ Efficient regularized isotonic regression with application to gene-gene interaction search ⋮ The one-way analysis of variance with ordered alternatives: A modification of bartholomew's Ē²Test ⋮ Iterative isotonic regression ⋮ Active set algorithms for isotonic regression; a unifying framework ⋮ Efficient algorithms for the inverse sorting problem with bound constraints under the \(l_{\infty }\)-norm and the Hamming distance ⋮ Bootstrap estimation of the variance of the error term in monotonic regression models ⋮ Extension of the pool-adjacent-violators algorithm ⋮ The analysis of contingency tables under inequality constraints

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