Alex Towell

Alex Towell has a masters in computer science and a masters in mathematics (statistics) from SIUe.

Bernoulli model

A general framework for constructing and working with Bernoulli models.

Bernoulli model

likelihood.model R package

An API for constructing and working with likelihood models; works well with algebraic.mle R package

likelihood.model R package

Rate-distorted perfect hash filter

A model of a second-order Bernoulli set with false positives and false negatives

Problem set solutions

I have a fairly broad interest in problem-solving, from problems in statistics to algorithms. Over the years, I’ve accumulated a collection of problem sets, which I will be refining and posting here every now and then.

Last updated on Mar 31, 2023 1 min read

Using GPT-4 to Build a Simple HTML File Search Interface

This blog post written by GPT-4. See conservation with GPT-4 that built it here. The interface to the browse/search is here. It’s really not fancy, but I’ve never had much of an interest in doing this kind of front-end work, but GPT-4 makes it pretty easy.

Last updated on Mar 31, 2023 2 min read

algebraic.mle R package

An API for algebraic maximum likelihood fitting

algebraic.mle R package

femtograd R package

An R package for backpropagation through a computational graph

femtograd R package

Model Selection in Weibull Series Systems

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.

Mar 29, 2023 Statistics, Data Science, Inference, Likelihood-Models

Reliability Estimation in Series Systems

Investigates maximum likelihood techniques to estimate component reliability from masked failure data in series systems. A simulation study is used to assess the sensitivity of the MLE to various parameters like sample size, masking probability, and other so on, using components with Weibull lifetimes arranged in series.

Reliability Estimation in Series Systems

wei.series.md.c1.c2.c3

R package in narrow support of my master’s project in reliability estimation for series systems from masked failure data like the component cause of failure being unknown or the failure being censored.

wei.series.md.c1.c2.c3