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Journal of Computational and Graphical Statistics Volume 7, 1998 - Issue 4
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Article

Testing Monotonicity of Regression

A. W. Bowman Department of Statistics, University of Glasgow, Glasgow, G12 8QQ, Scotland, U.K.
,
M. C. Jones Department of Statistics, The Open University, Milton Keynes, MK7 6AA, U.K.
&
I. Gijbels Institut de Statistique, Université Catholique de Louvain, 20 Voie du Roman Pays, 1348, Louvain-la-Neuve, Belgium
Pages 489-500 | Received 01 Jan 1997, Published online: 21 Feb 2012

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Jianhua Ding & Ping Yu. (2022) Test shape constraints in semiparametric model with Bernstein polynomials. Communications in Statistics - Simulation and Computation 51:5, pages 2667-2682.
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I. Gijbels, M. A. Ibrahim & A. Verhasselt. (2017) Shape testing in quantile varying coefficient models with heteroscedastic error. Journal of Nonparametric Statistics 29:2, pages 391-406.
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Eduardo L. Montoya & Wendy Meiring. (2016) An F-type test for detecting departure from monotonicity in a functional linear model. Journal of Nonparametric Statistics 28:2, pages 322-337.
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Gabriel Chandler & Wolfgang Polonik. (2012) Mode Identification of Volatility in Time-Varying Autoregression. Journal of the American Statistical Association 107:499, pages 1217-1229.
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Jin-Ting Zhang. (2004) A simple and efficient monotone smoother using smoothing splines. Journal of Nonparametric Statistics 16:5, pages 779-796.
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I. Gijbels & A-C. Goderniaux. (2004) Bootstrap test for change-points in nonparametric regression. Journal of Nonparametric Statistics 16:3-4, pages 591-611.
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Li-Shan Huang. (2001) Testing the adequacy of a linear model VIA critical smoothing. Journal of Statistical Computation and Simulation 68:3, pages 281-294.
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Christian Genest & Matthias Scherer. (2023) When copulas and smoothing met: An interview with Irène Gijbels. Dependence Modeling 11:1.
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Yanglei Song, Xiaohui Chen & Kengo Kato. (2023) Stratified incomplete local simplex tests for curvature of nonparametric multiple regression. Bernoulli 29:1.
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Moumita Chakraborty & Subhashis Ghosal. (2022) Rates and coverage for monotone densities using projection-posterior. Bernoulli 28:2.
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J. G. Scott, T. S. Shively & S. G. Walker. (2015) Nonparametric Bayesian testing for monotonicity. Biometrika 102:3, pages 617-630.
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Peter Hall & Ingrid Van Keilegom. (2005) Testing for monotone increasing hazard rate. The Annals of Statistics 33:3.
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Yannick Baraud, Sylvie Huet & Béatrice Laurent. (2005) Testing convex hypotheses on the mean of a Gaussian vector. Application to testing qualitative hypotheses on a regression function. The Annals of Statistics 33:1.
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Peter Hall & Li-Shan Huang. (2001) Nonparametric kernel regression subject to monotonicity constraints. The Annals of Statistics 29:3.
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Subhashis Ghosal, Arusharka Sen & Aad W. van der Vaart. (2000) Testing monotonicity of regression. The Annals of Statistics 28:4.
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Peter Hall & Nancy E. Heckman. (2000) Testing for monotonicity of a regression mean by calibrating for linear functions. The Annals of Statistics 28:1.
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Théophile Azomahou, Francois Laisney & Phu Nguyen Van. (2005) Economic Development and Co2 Emissions: A Nonparametric Panel Approach. SSRN Electronic Journal.
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Uri Simonsohn. (2018) SUPPLEMENT - Two-Lines: A Valid Alternative to the Invalid Testing of U-Shaped Relationships With Quadratic Regressions. SSRN Electronic Journal.
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Ruud H. Koning & Geert Ridder. (2002) Discrete Choice and Stochastic Utility Maximization. SSRN Electronic Journal.
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Uri Simonsohn. (2018) Two-Lines: A Valid Alternative to the Invalid Testing of U-Shaped Relationships with Quadratic Regressions. SSRN Electronic Journal.
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Scott Kostyshak. (2017) Non-Parametric Testing of U-Shapes, with an Application to the Midlife Satisfaction Dip. SSRN Electronic Journal.
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