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Imputation models sometimes use auxiliary variables that, though not part of the planned analysis, can improve the accuracy of imputed values and the efficiency of point estimates. A recent article, using evidence from simulations, argued…

Methodology · Statistics 2013-11-22 Paul von Hippel , Jamie Lynch

Supplementary Material for "Estimation of a Multiplicative Correlation Structure in the Large Dimensional Case"

Statistics Theory · Mathematics 2019-05-23 Christian M. Hafner , Oliver B. Linton , Haihan Tang

Correction to Annals of Probability 28 (2000) 277--302 [doi:10.1214/aop/1019160120].

Probability · Mathematics 2007-05-23 S. Sethuraman

We provide guidance on multiple imputation of missing at random treatments in observational studies. Specifically, analysts should account for both covariates and outcomes, i.e., not just use propensity scores, when imputing the missing…

Methodology · Statistics 2025-01-23 Joseph Feldman , Jerome P. Reiter

Assessing causal effects in the presence of unobserved confounding is a challenging problem. Existing studies leveraged proxy variables or multiple treatments to adjust for the confounding bias. In particular, the latter approach attributes…

Methodology · Statistics 2023-10-17 Yong Wu , Mingzhou Liu , Jing Yan , Yanwei Fu , Shouyan Wang , Yizhou Wang , Xinwei Sun

This document is an internet supplement to my book "Partially Observed Markov Decision Processes - From Filtering to Controlled Sensing" published by Cambridge University Press in 2016. This internet supplement contains exercises, examples…

Optimization and Control · Mathematics 2016-04-28 Vikram Krishnamurthy

We correct the statements and proofs of the (auxiliary) Propositions 4.1 and 4.2 of our paper `Evaluation of motivic functions, non-nullity, and integrability in fibers' in Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29…

Algebraic Geometry · Mathematics 2026-05-11 Raf Cluckers , Immanuel Halupczok

In attempts to develop sample-efficient and interpretable algorithms, researcher have explored myriad mechanisms for collecting and exploiting feature feedback (or rationales) auxiliary annotations provided for training (but not test)…

Computation and Language · Computer Science 2022-10-18 Anurag Katakkar , Clay H. Yoo , Weiqin Wang , Zachary C. Lipton , Divyansh Kaushik

Consider a situation with two treatments, the first of which is randomized but the second is not, and the multifactor version of this. Interest is in treatment effects, defined using standard factorial notation. We define estimators for the…

This text consists of additions to the book "Foundations of Garside Theory", EMS Tracts in Mathematics, vol. 22 (2015) -- see introduction and table of contents in arXiv:1309.0796 -- namely skipped proofs and solutions to selected…

Group Theory · Mathematics 2014-12-18 Patrick Dehornoy , Francois Digne , Eddy Godelle , Daan Krammer , Jean Michel

This addendum devotes to a detailed proof for the inequality (9.14) in our joint work: Arithmetic exponent pairs for algebraic trace functions and applications, with an appendix by Will Sawin, arXiv:1603.07060 [math.NT], which will appear…

Number Theory · Mathematics 2021-04-30 Jie Wu , Ping Xi

This note is an addendum to the paper ''Mahler's method in several variables and finite automata''. It strengthens part (i) of Theorem 1.1 of the aforementioned paper.

Combinatorics · Mathematics 2024-07-29 Colin Faverjon , Boris Adamczewski

This technical report accompanies the manuscript "Conditional Modeling and the Jitter Method of Spike Re-sampling." It contains further details, comments, references, and equations concerning various simulations and data analyses presented…

In clinical trials, inferences on clinical outcomes are often made conditional on specific selective processes. For instance, only when a treatment demonstrates a significant effect on the primary outcome, further analysis is conducted to…

Methodology · Statistics 2025-04-15 Tianyu Pan , Vivek Charu , Ying Lu , Lu Tian

Recent theoretical work in causal inference has explored an important class of variables which, when conditioned on, may further amplify existing unmeasured confounding bias (bias amplification). Despite this theoretical work, existing…

Methodology · Statistics 2020-03-20 Tyrel Stokes , Russell Steele , Ian Shrier

This is supplementary material to "Realizations of a special class of admittances with strictly lower complexity than canonical forms" [1], which presents the detailed proofs of some results. For more background information, refer to…

Optimization and Control · Mathematics 2015-01-20 Michael Z. Q. Chen , Kai Wang , Zhan Shu , Chanying Li

We develop asymptotic approximations that can be applied to sequential estimation and inference problems, adaptive randomized controlled trials, and related settings. In batched adaptive settings where the decision at one stage can affect…

Econometrics · Economics 2025-02-25 Keisuke Hirano , Jack R. Porter

Genetic association studies are becoming an important component of medical research. To cite one instance, pharmacogenomics which is gaining prominence as a useful tool for personalized medicine is heavily reliant on results from genetic…

Applications · Statistics 2018-03-13 Majnu John , Todd Lencz , Anil K Malhotra , Christoph U Correll , Jian-Ping Zhang

This work addresses the problem of conducting valid inference for additive and linear mixed models after model selection. One possible solution to overcome overconfident inference results after model selection is selective inference, which…

Methodology · Statistics 2020-12-22 David Rügamer , Philipp F. M. Baumann , Sonja Greven

Attrition is a common and potentially important threat to internal validity in treatment effect studies. We extend the changes-in-changes approach to identify the average treatment effect for respondents and the entire study population in…

Econometrics · Economics 2024-03-29 Dalia Ghanem , Sarojini Hirshleifer , Désiré Kédagni , Karen Ortiz-Becerra