advanced-short-term-actuarial-mathematics

What problem does it solve?

Guides advanced short-term actuarial mathematics aligned with SOA ASTAM and P&C/health-adjacent modeling—severity and frequency distributions, aggregate and compound loss models, Bühlmann and Bühlmann-Straub credibility, ratemaking and experience rating, short-term reserving at the math level, MLE and goodness-of-fit, and risk measures (VaR, TVaR). Tool-agnostic and concept-first. Use when the user mentions advanced short-term actuarial mathematics, ASTAM, severity model, frequency model, aggregate loss, compound distribution, Bühlmann credibility, experience rating, ratemaking, pure premium, negative binomial frequency, tail factor, TVaR, or short-term actuarial models—not life contingencies (life-health-insurance), Excel workpapers only (actuarial-analyst), appointed actuary sign-off (actuary, appointed-chief-actuary), assumption governance (assumption-setting), P&C legal/operations depth (property-casualty-insurance), or general ML (data-scientist, quantitative-researcher).

Core Features & Use Cases

• Guides practitioners through severity and frequency modeling, aggregate loss formation, credibility, and ratemaking concepts for short-term horizons.
• Provides ASTAM-aligned workflows and diagnostics to support MLE, GOF, and risk-measures interpretation in non-life lines.
• Illustrates how to structure mathematical reasoning for pricing, reserving, and experience-rating decisions with clear limitations.

Quick Start

Use the skill to initiate a basic short-term actuarial model by selecting a severity family and a frequency model to estimate pure premium.