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Theory and Method

Measurement Error Regression with Unknown Link: Dimension Reduction and Data Visualization

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Pages 1040-1050 | Received 01 Oct 1990, Published online: 27 Feb 2012

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Pian Chen & Aaron Smith. (2013) The nonlinear multidimensional relationship between stock returns and the macroeconomy. Applied Economics 45:35, pages 4985-4999.
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Lloyd J. Edwards. (1995) Effect of measurement error in testing separate linear models. Journal of Statistical Computation and Simulation 52:3, pages 205-216.
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Linh H. Nghiem, Francis K. C. Hui, Samuel Muller & A. H. Welsh. (2023) Likelihood-based surrogate dimension reduction. Statistics and Computing 34:1.
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Jinlin Fan, Yaowu Zhang & Liping Zhu. (2022) Independence tests in the presence of measurement errors: An invariance law. Journal of Multivariate Analysis 188, pages 104818.
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Li-Pang Chen & Grace Y. Yi. (2022) Sufficient dimension reduction for survival data analysis with error-prone variables. Electronic Journal of Statistics 16:1.
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Li-Pang Chen & Grace Y. Yi. (2020) Semiparametric methods for left-truncated and right-censored survival data with covariate measurement error. Annals of the Institute of Statistical Mathematics 73:3, pages 481-517.
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Li-Pang Chen. (2021) Ultrahigh-dimensional sufficient dimension reduction with measurement error in covariates. Statistics & Probability Letters 168, pages 108931.
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JooChul Lee, HaiYing Wang & Elizabeth D. Schifano. (2020) Online updating method to correct for measurement error in big data streams. Computational Statistics & Data Analysis 149, pages 106976.
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Y.H. Tu, Z.N. Fu, A. Tan, G. Huang, L. Hu, Y.S. Hung & Z.G. Zhang. (2018) A novel and effective fMRI decoding approach based on sliced inverse regression and its application to pain prediction. Neurocomputing 273, pages 373-384.
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Grace Y. YiGrace Y. Yi. 2017. Statistical Analysis with Measurement Error or Misclassification. Statistical Analysis with Measurement Error or Misclassification 395 410 .
Ker‐Chau Li. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
S. Girard & J. Saracco. (2015) An Introduction to Dimension Reduction in Nonparametric Kernel Regression. EAS Publications Series 66, pages 167-196.
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Alexandra L. Garnham & Luke A. Prendergast. (2013) A note on least squares sensitivity in single-index model estimation and the benefits of response transformations. Electronic Journal of Statistics 7:none.
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Jun Zhang, Li-Ping Zhu & Li-Xing Zhu. (2012) On a dimension reduction regression with covariate adjustment. Journal of Multivariate Analysis 104:1, pages 39-55.
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Benoît Liquet & Jérôme Saracco. (2007) Pooled marginal slicing approach via SIR α with discrete covariables. Computational Statistics 22:4, pages 599-617.
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Ker‐Chau Li. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Jérôme Saracco. (2005) Asymptotics for pooled marginal slicing estimator based on approach . Journal of Multivariate Analysis 96:1, pages 117-135.
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Ker‐Chau Li. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Ali Gannoun, Christiane Guinot & Jérôme Saracco. (2003) Reference curve estimation via alternating sliced inverse regression. Environmetrics 15:1, pages 81-99.
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Ursula Gather, Torsten Hilker & Claudia Becker. 2001. Statistics in Genetics and in the Environmental Sciences. Statistics in Genetics and in the Environmental Sciences 147 157 .
Zhu Lixing & Li Runze. (1998) Dimension-reduction type test for linearity of a stochastic regression model. Acta Mathematicae Applicatae Sinica 14:2, pages 165-175.
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