An isotonic regression algorithm

DOI10.1016/0378-3758(81)90036-7zbMath0482.65036OpenAlexW2026372345MaRDI QIDQ1162796

Richard L. Dykstra

Publication date: 1981

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(81)90036-7

zbMATH Keywords

least squaresisotonic regressionquasi-ordermaximal violateeminimal violatorpooling algorithm

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) General nonlinear regression (62J02) Quadratic programming (90C20)

Related Items (10)

Forecasting at Scale ⋮ A geometrical approach to iterative isotone regression ⋮ Dual active-set algorithm for optimal 3-monotone regression ⋮ A semiparametric isotonic regression model for skewed distributions with application to DNA–RNA–protein analysis ⋮ The one-way analysis of variance with ordered alternatives: A modification of bartholomew's Ē²Test ⋮ On the Convergence of a Greedy Algorithm for the Solution of the Problem for the Construction of Monotone Regression ⋮ Iterative isotonic regression ⋮ Active set algorithms for isotonic regression; a unifying framework ⋮ A dual active set algorithm for optimal sparse convex regression ⋮ Estimation and inference for partial linear regression surfaces using monotone warped-plane splines

Cites Work

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• Minimizing integrals in certain classes of monotone functions
• An Empirical Distribution Function for Sampling with Incomplete Information
• Maximum Likelihood Estimates of Monotone Parameters
• The Problem of Negative Estimates of Variance Components
• Conditional Expectation Given A $\sigma$-Lattice and Applications
• The Isotonic Regression Problem and Its Dual

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