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J. Mach. Learn. Res., 2020 We consider so-called univariate unlinked (sometimes \decoupled,"or \shuffled") regression when the unknown regression curve is monotone. In standard monotone regression, one observes a pair (X; Y ) where a response Y is linked to a covariate X through the model Y = m0(X) + ϵ, with m0 the (unknown) monotone regression function and ϵ the unobserved ...
Balabdaoui, Fadoua +2 more
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TESTING GENERALIZED REGRESSION MONOTONICITY [PDF]
Econometric Theory, 2018 We propose a test for a generalized regression monotonicity (GRM) hypothesis. The GRM hypothesis is the sharp testable implication of the monotonicity of certain latent structures, as we show in this article. Examples include the monotonicity of the conditional mean function when only interval data are available for the dependent variable and the ...
Hsu, Yu-Chin, Liu, Chu-An, Shi, Xiaoxia
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Monotone Percentile Regression
The Annals of Statistics, 1976 Suppose that for each number $t$ in [0, 1] there is a distribution with distribution function $F_t(\bullet)$ which has $p$th percentile $\xi(t)$. Consider the problem of estimating $\xi(\bullet)$ under the assumption that $\xi(\bullet)$ is monotone.
Casady, Robert J., Cryer, Jonathan D.
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Mixture Modeling of Time-to-Event Data in the Proportional Odds Model
Mathematics, 2022 Subgroup analysis with survival data are most essential for detailed assessment of the risks of medical products in heterogeneous population subgroups. In this paper, we developed a semiparametric mixture modeling strategy in the proportional odds model ...
Xifen Huang +4 more
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On Consistency in Monotonic Regression
The Annals of Statistics, 1973 For each $t$ in some subset $T$ of $N$-dimensional Euclidean space let $F_t$ be a distribution function with mean $m(t)$. Suppose $m(t)$ is non-decreasing in each of the coordinates of $t$. Let $t_1, t_2,\cdots$ be a sequence of points in $T$ and let $Y_1, Y_2,\cdots$ be an independent sequence of random variables such that the distribution function of
Hanson, D. L. +2 more
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International Conference on Acoustics, Speech, and Signal Processing, 1993 The concept of local monotonicity appears in the study of the set of root signals of the median filter and provides a measure of the smoothness of the signal. The median filter is a suboptimal smoother under this measure of smoothness, since a filter pass does necessarily yield a locally monotonic output; even if a locally monotonic output does result,
Alfredo Restrepo, Alan Conrad Bovik
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Testing monotonicity of regression
The Annals of Statistics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghosal, Subhashis +2 more
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The Annals of Mathematical Statistics, 1972 Suppose that for each real number $t$ in [0, 1] we have a distribution with distribution function $F_t(\bullet)$, mean $\mu(t)$ and median $m(t) (\mu(t)$ and $m(t)$ are referred to as regression functions). Consider the problems of estimating $\mu(\bullet)$ and $m(\bullet)$.
Cryer, J. D. +3 more
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Spatio-Temporal Forecasting of Global Horizontal Irradiance Using Bayesian Inference
Applied Sciences, 2022 Accurate global horizontal irradiance (GHI) forecasting promotes power grid stability. Most of the research on solar irradiance forecasting has been based on a single-site analysis.
Caston Sigauke +2 more
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Efficient computation of locally monotonic regression [PDF]
Revista de Ingeniería, 1996 Locally monotonic regression provides a way of smoothing signals under the smoothness criterion of local monotonicity, which sets a restriction on how often a signal may change trend (increasing to decreasing, or vice versa). So far, the applicability of locally monotonic regression has been limited by the high computational costs of the available ...
Ramiro de la Vega +1 more
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