Teaching
Teaching assistant at the Faculty of Sciences, UNAM (Aug 2023 – present): 13 course sections across 6 subjects of the statistics track
I lead the twice-weekly lab and problem sessions that accompany the professor’s lectures: I work through the theory with students, write the R code for each topic, and build case studies on real data so the methods are learned on questions that matter. Since 2023 I have assisted in 13 course sections with about 360 enrolled students.
Courses
| Subject (UNAM name) | Sections | What the course covers | Material |
|---|---|---|---|
| Probability II (Probabilidad II) | 1 | Joint distributions, transformations of random vectors, conditional expectation, generating functions, limit theorems | — |
| Statistical Inference (Inferencia Estadística) | 3 | Sampling distributions, point estimation and maximum likelihood, confidence intervals, hypothesis testing | Case study: pedestrian crashes in Mexico City · code |
| Nonparametric and Regression Models (Modelos No Paramétricos y de Regresión) | 3 | Rank and goodness-of-fit tests, contingency tables, simple and multiple linear regression, diagnostics, model selection, ANOVA and ANCOVA | Case study: mortgage pricing · code |
| Multivariate Analysis (Análisis Multivariado) | 3 | Multivariate normal and Hotelling’s T², principal components, factor analysis, correspondence analysis, multidimensional scaling, clustering, discriminant analysis; complementary SVM and k-NN | code |
| Survival and Time Series Models (Modelos de Supervivencia y de Series de Tiempo) | 2 | Censoring, Kaplan–Meier, log-rank, parametric and Cox models; stationarity, smoothing, ARIMA and forecasting | code · applied in mortgage credit risk |
| Stochastic Simulation (Simulación Estocástica) | 1 | Random variate generation, Monte Carlo integration and variance reduction, MCMC, EM, bootstrap | code · applied in mortgage credit risk |
By semester
| Semester | Courses |
|---|---|
| 2024-1 (Aug–Dec 2023) | Statistical Inference · Probability II |
| 2024-2 (Jan–May 2024) | Statistical Inference |
| 2025-1 (Aug–Dec 2024) | Multivariate Analysis · Nonparametric and Regression Models |
| 2025-2 (Jan–May 2025) | Multivariate Analysis · Nonparametric and Regression Models |
| 2026-1 (Aug–Dec 2025) | Survival and Time Series Models (two sections) |
| 2026-2 (Jan–May 2026) | Multivariate Analysis · Nonparametric and Regression Models |
| 2027-1 (Aug–Dec 2026) | Statistical Inference · Stochastic Simulation |
How I teach
- One real question per course. Inference is taught around a single claim tested end to end (is someone hit by a car every 30 minutes?); regression around whether mortgage brokers charge more.
- Check the assumptions before the conclusion. Every method comes with its diagnostics and with an example where ignoring them gives the wrong answer.
- Code anyone can rerun. All material is in R, organised by the official syllabus, in the teaching-notes repository.