Bootstrap Sampling Distribution
March 05, 2020
This note is based on Lehmann, E. L., & Romano, J. P. (2005). Testing statistical hypotheses (3rd ed). Springer.
Common Functional Principal Components
February 29, 2020 (Update: )
This post is based on Benko, M., Härdle, W., & Kneip, A. (2009). Common functional principal components. The Annals of Statistics, 37(1), 1–34.
Common Principal Components
February 28, 2020
This post is based on Flury (1984).
Bernstein-von Mises Theorem
February 24, 2020
I came across the Bernstein-von Mises theorem in Yuling Yao’s blog, and I also found a quick definition in the blog hosted by Prof. Andrew Gelman, although this one is not by Gelman. By coincidence, the former is the PhD student of the latter!
Equicorrelation Matrix
February 22, 2020 (Update: )
kjytay’s blog summarizes some properties of equicorrelation matix, which has the following form,
Multiple Isotonic Regression
February 20, 2020
The first two sections are based on a good tutorial on the isotonic regression, and the third section consists of the slides for the talk given by Prof. Cun-Hui Zhang at the 11th ICSA International Conference on Dec. 21st, 2019.
Statistical Inference with Unnormalized Models
February 10, 2020 (Update: )
This post is based on the talk given by T. Kanamori at the 11th ICSA International Conference on Dec. 22nd, 2019.
Registration Problem in Functional Data Analysis
January 21, 2020 (Update: )
This post is based on the seminar, Data Acquisition, Registration and Modelling for Multi-dimensional Functional Data, given by Prof. Shi.
Generalized Matrix Decomposition
January 17, 2020 (Update: )
This post is based on the talk given by Dr. Yue Wang at the Department of Statistics and Data Science, Southern University of Science and Technology on Jan. 04, 2020.
Rademacher Complexity
January 16, 2020 (Update: )
This post is based on the material of the second lecture of STAT 6050 instructed by Prof. Wicker, and mainly refer some more formally description from the book, Mehryar Mohri, Afshin Rostamizadeh, Ameet Talwalkar - Foundations of Machine Learning-The MIT Press (2012).
Classification with Imperfect Training Labels
January 15, 2020
This post is based on the talk, given by Timothy I. Cannings at the 11th ICSA International Conference on Dec. 22th, 2019, the corresponding paper is Cannings, T. I., Fan, Y., & Samworth, R. J. (2019). Classification with imperfect training labels. ArXiv:1805.11505 [Math, Stat]
NGS for NGS
January 11, 2020 (Update: )
This post is based on the talk, Next-Generation Statistical Methods for Association Analysis of Now-Generation Sequencing Studies, given by Dr. Xiang Zhan at the Department of Statistics and Data Science, Southern University of Science and Technology on Jan. 05, 2020.
Concentration Inequality for Machine Learning
January 09, 2020
This post is based on the material of the first lecture of STAT6050 instructed by Prof. Wicker.
Gradient-based Sparse Principal Component Analysis
January 05, 2020 (Update: )
This post is based on the talk, Gradient-based Sparse Principal Component Analysis, given by Dr. Yixuan Qiu at the Department of Statistics and Data Science, Southern University of Science and Technology on Jan. 05, 2020.
DNA copy number profiling: from bulk tissue to single cells
January 02, 2020
This post is based on the talk given by Yuchao Jiang at the 11th ICSA International Conference on Dec. 20th, 2019.
Quantitative Genetics
December 21, 2019 (Update: )
This post is based on the Pao-Lu Hsu Award Lecture given by Prof. Hongyu Zhao at the 11th ICSA International Conference on Dec. 21th, 2019.
CEASE
December 20, 2019 (Update: )
This post is based on the Peter Hall Lecture given by Prof. Jianqing Fan at the 11th ICSA International Conference on Dec. 20th, 2019.
Group Inference in High Dimensions
December 17, 2019 (Update: )
This post is based on the slides for the talk given by Zijian Guo at The International Statistical Conference In Memory of Professor Sik-Yum Lee
Lagrange Multiplier Test
December 17, 2019
This post is based on Peter BENTLER’s talk, S.-Y. Lee’s Lagrange Multiplier Test in Structural Modeling: Still Useful? in the International Statistical Conference in Memory of Professor Sik-Yum Lee.
Conditional Quantile Regression Forests
December 12, 2019
This note is based on the slides of the seminar, Dr. ZHU, Huichen. Conditional Quantile Random Forest.
Quantile Regression Forests
December 10, 2019
This post is based on Meinshausen, N. (2006). Quantile Regression Forests. 17. since a coming seminar is related to such topic.
Fantastic Generalization Measures and Where to Find Them
December 06, 2019
The post is based on Jiang, Y., Neyshabur, B., Mobahi, H., Krishnan, D., & Bengio, S. (2019). Fantastic Generalization Measures and Where to Find Them. ArXiv:1912.02178 [Cs, Stat].which was shared by one of my friend in the WeChat Moment, and then I took a quick look.
Combining $p$-values in Meta Analysis
December 04, 2019
I came across the term meta-analysis in the previous post, and I had another question about nominal size while reading the paper of the previous post, which reminds me Keith’s notes. By coincidence, I also find the topic about meta-analysis in the same notes. Hence, this post is mainly based on Keith’s notes, and reproduce the power curves by myself.
Controlling bias and inflation in EWAS/TWAS
December 04, 2019 (Update: )
Union-intersection tests and Intersection-union tests
December 02, 2019 (Update: )
This post is based on section 8.3 of Casella and Berger (2001).
Gaussian DAGs on Network Data
November 19, 2019 (Update: )
This post is based on Li, H., & Zhou, Q. (2019). Gaussian DAGs on network data. ArXiv:1905.10848 [Cs, Stat].
Active Contours
November 12, 2019
This post is based on Ray, N., & Acton, S. T. (2002). Active contours for cell tracking. Proceedings Fifth IEEE Southwest Symposium on Image Analysis and Interpretation, 274–278.
Multivariate Mediation Effects
November 04, 2019 (Update: )
This note is based on Huang, Y.-T. (2019). Variance component tests of multivariate mediation effects under composite null hypotheses. Biometrics, 0(0).
The Cost of Privacy
November 01, 2019
This note is based on Cai, T. T., Wang, Y., & Zhang, L. (2019). The Cost of Privacy: Optimal Rates of Convergence for Parameter Estimation with Differential Privacy. ArXiv:1902.04495 [Cs, Stat].
MM algorithm for Variance Components Models
November 01, 2019
The post is based on Zhou, H., Hu, L., Zhou, J., & Lange, K. (2019). MM Algorithms for Variance Components Models. Journal of Computational and Graphical Statistics, 28(2), 350–361.