Columbia’s Ph.D. in Statistics offers rigorous training in mathematical statistics and data science applications. These dissertation topics span theoretical and applied domains including causal inference, high-dimensional data, Bayesian models, and AI reliability.
Bayesian Nonparametric Models for Dynamic Risk Forecasting
High-Dimensional Variable Selection in Genomic Data
Statistical Inference for Reinforcement Learning Algorithms
Multilevel Causal Inference with Unmeasured Confounding
Sparse Estimation Techniques in Functional Data Analysis
Robust Estimation in the Presence of Heavy-Tailed Distributions
Statistical Frameworks for Federated Biomedical Learning
Inference in Network Models with Missing Edges
Statistical Foundations of Deep Generative Models
Change-Point Detection in Streaming Time Series Data
Density Ratio Estimation for Distribution Shift Scenarios
Uncertainty Quantification in Ensemble Learning Models
Semiparametric Approaches for Instrumental Variable Analysis
Bootstrap Methods for Spatially Correlated Observations
Optimal Experimental Design in Adaptive Clinical Trials
Graph-Based Testing Procedures for Large-Scale Social Networks
Fairness-Aware Statistical Modeling for Policy Evaluation
Calibration and Coverage of Conformal Prediction Regions
Hierarchical Bayesian Models for Small Area Estimation
Double Robust Estimators in Causal Mediation Analysis
Covariate Balancing Techniques for Observational Studies
Scalable Variational Inference for Large-Scale Gaussian Processes
Nonparametric Hypothesis Testing in Manifold Spaces
Bias-Variance Tradeoff in Modern Ensemble Forecasting
Statistical Methodologies for Multi-Omics Data Integration
Tensor Regression Models in Spatiotemporal Epidemiology
Selective Inference After Model Selection Procedures
Randomization-Based Inference in Clustered Designs
Adaptive Shrinkage Priors for Hierarchical Modeling
Time-Varying Coefficient Models in Financial Forecasting
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