I experiment with simple predictive / generative models to approximate Solomonoff induction for a relatiely simple synthetic data-generating process.

Various research projects for LLMs and foundation models.

In my paper, Reliability Estimation in Series Systems, I discarded a lot of research that may be interesting to pursue further. This one is about using homogeneous shape parameters for the Weibull series system, which can greatly simplify the analysis and reduce the number of parameters to estimate. It’s also quite reasonable for most well-designed systems.

This problem set covers the E-M algorithm for right-censored normal data with known variance.

This problem set covers sampling from a Gamma distribution using Metropolis-Hastings and acceptance-rejection methods.

This problem set covers multicollinearity in regression analysis and the marginal and partial effects of predictor variables, among other topics.

Problem sets and solutions for STAT 482 - Regression Analysis at SIUe.

Problem sets and solutions for STAT 575 - Computational Statistics at SIUe.