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Algorithms for Sparse k-Monotone Regression
2018The problem of constructing k-monotone regression is to find a vector \(z\in \mathbb {R}^n\) with the lowest square error of approximation to a given vector \(y\in \mathbb {R}^n\) (not necessary k-monotone) under condition of k-monotonicity of z. The problem can be rewritten in the form of a convex programming problem with linear constraints. The paper
Sergei P. Sidorov +3 more
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A Kolmogorov-type test for monotonicity of regression
Statistics & Probability Letters, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized smooth monotonic regression
2005Common approaches to monotonic regression focus on the case of a unidimensional covariate and continuous dependent variable. Here a general approach is proposed that allows for additive and multiplicative structures where one or more variables have monotone influence on the dependent variable.
Tutz, Gerhard, Leitenstorfer, Florian
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Generalized Smooth Monotonic Regression in Additive Modeling
Journal of Computational and Graphical Statistics, 2007Gerhard Tutz
exaly
Invariant properties of logistic regression model in credit scoring under monotonic transformations
Communications in Statistics - Theory and Methods, 2017Guoping Zeng
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The Reduced Monotonic Regression Method
Journal of the American Statistical Association, 1997Michael Schell, Bahadur Singh
exaly
A smoothed monotonic regression via L2 regularization
Knowledge and Information Systems, 2018Oleg Sysoev +2 more
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Monotonic change point estimation of generalized linear model-based regression profiles
Communications in Statistics Part B: Simulation and Computation, 2017Amirhossein Amiri, Fatemeh Sogandi
exaly