Applications of machine learning to some statistical inference problems

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Abstract/Contents

Abstract
With impressive statistical learning techniques, new solutions can be provided to challenging problems in statistics. Statistical questions regarding heterogeneous treatment effects and conditional densities are two such examples. Heterogeneous treatment effects describe the influence of a drug or policy with an emphasis on individual variability. I explored the possibilities of applying machine learning tools to the estimation, inference, and accuracy assessment of heterogeneous treatment effects. Conditional densities characterize how a response depends on a set of covariates and extends conditional means to incorporate information like scale and shape. I developed a series of statistical methods for the conditional density estimation borrowing strengths from decision trees and gradient boosting. Despite the maturity of existing machine learning algorithms, careful modifications are required to adapt standard approaches to non-classification and non-prediction queries with desirable statistical properties.

Description

Type of resource text
Form electronic resource; remote; computer; online resource
Extent 1 online resource.
Place California
Place [Stanford, California]
Publisher [Stanford University]
Copyright date 2022; ©2022
Publication date 2022; 2022
Issuance monographic
Language English

Creators/Contributors

Author Gao, Zijun
Degree supervisor Hastie, Trevor
Thesis advisor Hastie, Trevor
Thesis advisor Tibshirani, Robert
Thesis advisor Wager, Stefan
Degree committee member Tibshirani, Robert
Degree committee member Wager, Stefan
Associated with Stanford University, Department of Statistics

Subjects

Genre Theses
Genre Text

Bibliographic information

Statement of responsibility Zijun Gao.
Note Submitted to the Department of Statistics.
Thesis Thesis Ph.D. Stanford University 2022.
Location https://purl.stanford.edu/hb677ff7601

Access conditions

Copyright
© 2022 by Zijun Gao
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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