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Theory and Methods

Generalized Fiducial Inference for Ultrahigh-Dimensional Regression

Pages 760-772 | Received 01 Apr 2013, Published online: 06 Jul 2015

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Read on this site (9)

Pengcheng Ren, Guanfu Liu & Xiaolong Pu. (2023) Simultaneous confidence intervals for mean differences of multiple zero-inflated gamma distributions with applications to precipitation. Communications in Statistics - Simulation and Computation 52:10, pages 4705-4716.
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Pengcheng Ren, Guanfu Liu & Xiaolong Pu. (2023) Generalized fiducial methods for testing the homogeneity of a three-sample problem with a mixture structure. Journal of Applied Statistics 50:5, pages 1094-1114.
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Zhenyu Wei & Thomas C. M. Lee. (2023) High-Dimensional Multi-Task Learning using Multivariate Regression and Generalized Fiducial Inference. Journal of Computational and Graphical Statistics 32:1, pages 226-240.
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Pengcheng Ren, Guanfu Liu, Xiaolong Pu & Yan Li. (2022) Generalized fiducial methods for testing quantitative trait locus effects in genetic backcross studies. Statistical Theory and Related Fields 6:2, pages 148-160.
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W. Jenny Shi, Jan Hannig, Randy C. S. Lai & Thomas C. M. Lee. (2021) Covariance estimation via fiducial inference. Statistical Theory and Related Fields 5:4, pages 316-331.
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Jonathan P Williams. (2021) Discussion of “A Gibbs Sampler for a Class of Random Convex Polytopes”. Journal of the American Statistical Association 116:535, pages 1198-1200.
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Qi Gao, Randy C. S. Lai, Thomas C. M. Lee & Yao Li. (2020) Uncertainty Quantification for High-Dimensional Sparse Nonparametric Additive Models. Technometrics 62:4, pages 513-524.
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Chenglong Ye, Yi Yang & Yuhong Yang. (2018) Sparsity Oriented Importance Learning for High-Dimensional Linear Regression. Journal of the American Statistical Association 113:524, pages 1797-1812.
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Jan Hannig, Hari Iyer, Randy C. S. Lai & Thomas C. M. Lee. (2016) Generalized Fiducial Inference: A Review and New Results. Journal of the American Statistical Association 111:515, pages 1346-1361.
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Articles from other publishers (14)

Zhao Yongchao, Liang Hua & Li Xinmin. (2023) Fiducial variable selection for the high-dimensional regression model. SCIENTIA SINICA Mathematica 53:6, pages 839.
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Fanbing Meng & Jun Yang. (2023) Process capability analysis of Taguchi index C pm based on generalized p ‐value . Quality and Reliability Engineering International.
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Yifan Cui & Min-ge Xie. 2023. Springer Handbook of Engineering Statistics. Springer Handbook of Engineering Statistics 575 592 .
Suofei Wu, Jan Hannig & Thomas C.M. Lee. (2022) Uncertainty quantification for honest regression trees. Computational Statistics & Data Analysis 167, pages 107377.
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Seungyong Hwang, Randy C. S. Lai & Thomas C. M. Lee. (2021) Generalized Fiducial Inference for Threshold Estimation in Dose–Response and Regression Settings. Journal of Agricultural, Biological and Environmental Statistics 27:1, pages 109-124.
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Yi Han & Thomas C. M. Lee. (2022) Uncertainty Quantification for Sparse Estimation of Spectral Lines. IEEE Transactions on Signal Processing 70, pages 6243-6256.
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Yi Su, Jan Hannig & Thomas C. M. Lee. (2022) Uncertainty Quantification in Graphon Estimation Using Generalized Fiducial Inference. IEEE Transactions on Signal and Information Processing over Networks 8, pages 597-609.
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Fanbing Meng, Jun Yang & Shuo Huang. (2020) Hypothesis testing of process capability index Cpk from the perspective of generalized fiducial inference. Quality and Reliability Engineering International 37:4, pages 1578-1598.
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Suofei WuJan HannigThomas C. M. Lee. (2021) Uncertainty quantification for principal component regression. Electronic Journal of Statistics 15:1.
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Ryan Martin. (2019) False confidence, non-additive beliefs, and valid statistical inference. International Journal of Approximate Reasoning 113, pages 39-73.
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Y Cui & J Hannig. (2019) Nonparametric generalized fiducial inference for survival functions under censoring. Biometrika 106:3, pages 501-518.
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Jonathan P. Williams & Jan Hannig. (2019) Nonpenalized variable selection in high-dimensional linear model settings via generalized fiducial inference. The Annals of Statistics 47:3.
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Piao Chen & Zhi-Sheng Ye. (2017) Random Effects Models for Aggregate Lifetime Data. IEEE Transactions on Reliability 66:1, pages 76-83.
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John T. Ormerod, Chong You & Samuel Müller. (2017) A variational Bayes approach to variable selection. Electronic Journal of Statistics 11:2.
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