Talk slides: GitHub.

Past Courses

• STAT430 - PROBABILITY

  Discrete and continuous sample spaces and probability; random variables, distributions, independence; expectation and generating functions; Markov chains and recurrence theory.

• STAT510 - PROBABILITY

  Elements of matrix algebra. Discrete and continuous random variables and their distributions. Moments and moment generating functions. Joint distributions. Functions and transformations of random variables. Law of large numbers and the central limit theorem. Point estimation: sufficiency, maximum likelihood, minimum variance. Confidence intervals.

• STAT991 - SEM IN ADV APPL OF STAT

  This seminar will be taken by doctoral candidates after the completion of most of their coursework. Topics vary from year to year and are chosen from advance probability, statistical inference, robust methods, and decision theory with principal emphasis on applications.

• T.W. Anderson Theory of Statistics Dissertation Award, Department of Statistics, Stanford University, 2017
• Howard Hughes Medical Institute International Student Graduate Research Fellowship, 2015
• Stanford Department of Statistics Teaching Award, 2013
• Middleton Miller ’29 Prize for best independent work in mathematics, Princeton University, 2012
• Traian Lalescu Prize awarded by the Romanian Mathematical Society to the best student in the mathematical olympiads in Romania, 2008

This page has links to software implementing methods developed in my papers. The software is usually hosted on  GitHub. That page also contains software to reproduce the computational results of my publications.
Feel free to contact me if you are interested in using this software.

ePCA: github Matlab

Contains the ePCA method for principal component analysis of exponential family data, e.g. Poisson-modeled count data.
Implements methods for denoising individual datapoints. (with L.T. Liu)

Related paper: Liu et al., 2016;

EigenEdge: github Matlab

Contains methods for working with large random matrices, including

• The SPECTRODE method for computing eigenvalue distributions of covariance matrices (general Marchenko-Pastur distributions).
• Methods to compute moments and quantiles of these distributions.
• Optimal linear spectral statistics for testing in principal component analysis.
• Tools for spiked covariance models: spike and cosine descriptors, optimal shrinkers.

Related papers: Dobriban, 2015; Dobriban & Wager, 2015; Dobriban, 2016;

pweight/Princessp: CRAN. github R. github Matlab

Implements P-value weighting techniques for multiple hypothesis testing. These methods can improve power in multiple testing, if there is prior information about the individual effect sizes. Includes the iGWAS method designed for Genome-Wide Association Studies.

Related papers: Dobriban et al., 2015; Fortney et al., 2015; Dobriban, 2016;