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Bayesian nonparametric monotone regression [PDF]
Environmetrics, 2020 AbstractIn many applications there is interest in estimating the relation between a predictor and an outcome when the relation is known to be monotone or otherwise constrained due to the physical processes involved. We consider one such application‐inferring time‐resolved aerosol concentration from a low‐cost differential pressure sensor. The objective
Jessica Tryner +2 more
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Monotone Regression: A Simple and Fast O(n) PAVA Implementation
Journal of Statistical Software, 2022 Efficient coding and improvements in the execution order of the up-and-down-blocks algorithm for monotone or isotonic regression leads to a significant increase in speed as well as a short and simple O(n) implementation.
Frank M. T. A. Busing
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Bayesian Estimation of Marginal Quantiles with Missing Data in a Multivariate Regression Framework [PDF]
EntropyIn this article, we propose and study a class of multivariate regression models that account for ignorable missing data in skewed, potentially heavy-tailed response vectors with positive components.
Raúl Alejandro Morán-Vásquez +2 more
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Monotone Percentile Regression
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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Monotone Regression and Covariance Structure
Annals of Statistics, 1979 The monotone regression of a variable $X$ on another variable $Y$ is of particular interest when $Y$ cannot be directly observed. The correlation of $X$ and $Y$ can be tested if at least high and low values of $Y$ can be recognized. If all the components of a random vector have monotone regression on a variable $Y$, and if they are all uncorrelated ...
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Semiparametric outcome regression-based estimator of Mann–Whitney-type causal effect [PDF]
BMC Medical Research MethodologyWe introduce a novel semiparametric estimator for Mann–Whitney-type causal effects based on the cumulative probability model (CPM). CPMs are rank-based, invariant to monotone transformations of the outcome, and offer flexible outcome regression under ...
Safiya S. Sani +11 more
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Using threshold Cox models to estimate change points in exposure-response relationships in an occupational epidemiological study of respirable crystalline silica and silicosis risk [PDF]
Frontiers in Public HealthIntroductionIn occupational epidemiology, accurately quantifying exposure-response relationships is crucial.MethodsWe introduce a threshold Cox model that includes a change point term to identify the optimal threshold.
Diezhang Wu, Kenneth A. Mundt, Jing Qian
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Dual active-set algorithm for optimal 3-monotone regression [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 The paper considers a shape-constrained optimization problem of constructing monotone regression which has gained much attention over the recent years. This paper presents the results of constructing the nonlinear regression with $3$-monotone constraints.
Gudkov, Alexandr A. +2 more
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Alexandria Engineering Journal, 2022 The log-normal, log-logistic and Weibull distributions are commonly utilized to model survival data. Unimodal (or non-monotone) failure rate functions are modeled using the log-normal and the log-logistic families, whereas monotone failure rate functions
Abdisalam Hassan Muse +5 more
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The Lookup Table Regression Model for Histogram-Valued Symbolic Data
Stats, 2022 This paper presents the Lookup Table Regression Model (LTRM) for histogram-valued symbolic data. We first transform the given symbolic data to a numerical data table by the quantile method.
Manabu Ichino
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