Advanced Short-Term Actuarial Mathematics

When to Use

Select and justify severity families (parametric tails, mixtures) and frequency models (Poisson, negative binomial, mixtures)
Build aggregate loss models: compound distributions, normal approximation limits, FFT/simulation concepts
Apply credibility (Bühlmann, Bühlmann-Straub, limited fluctuation) and experience rating math
Structure ratemaking: pure premium, loss ratio, trend, on-level, indicated change logic
Explain short-term reserving at the mathematical level (chain ladder factors, expected loss ratio)
Estimate parameters (MLE), run goodness-of-fit and diagnostics, interpret residuals and tail fit
Compute risk measures (VaR, TVaR) and relate them to capital concepts at a technical level
Connect modeling choices to pricing and reserving workflows; hand execution to actuarial-analyst