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Project Ideas for Doctor of Philosophy in Statistics

Advanced theory and data-centric innovation for uncertainty quantification.

🏛 Introduction

Northwestern’s Statistics PhD trains theorists and data scientists to push boundaries in Bayesian computation, high-dimensional inference, and causal discovery. Students prove risk bounds for federated learning, develop MCMC on GPU clusters, and consult for biomedical researchers, hedge funds, and civic-tech groups.

💡 Suggested Project Titles

Derive minimax rates for graphon estimation under node sampling

Implement Rao-Blackwellized particle filters for stochastic volatility models

Construct doubly robust estimators for heterogeneous treatment effects

Develop scalable Hamiltonian Monte Carlo for large neural-network posteriors

Analyze fairness constraints in uplift modeling for public-health interventions

Create a nonparametric test for change-points in streaming data

Model epidemic tipping points with branching-process approximations

Design adaptive experimental designs minimizing regret in A/B testing

Build a probabilistic programming framework integrating symbolic algebra

Estimate extreme quantiles of climate-risk losses via peaks-over-threshold

Prove oracle inequalities for sparse additive models with group lasso

Quantify uncertainty in network community detection using Bayesian SBM

Develop causal discovery algorithms leveraging invariant risk minimization

Simulate adaptive survey designs reducing bias in hidden populations

Write an R package implementing PAC-Bayesian bounds visualization

Northwestern University – PhD in Statistics

Advance statistical theory and impactful data science with Northwestern.

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