Dual GLM Actuarial Engine

Motor insurance priced by actuarial mathematics, not generic averages

We decouple accident likelihood (Poisson Frequency) from claim cost (Gamma Severity), producing personalized, transparent, and auditable motor premiums.

Live Sample Rating

Model GLM-FR-V1

Calculated Final Premium

€340/ year

Predicted Frequency0.231 claims/yr
Predicted Severity€1,115
Pure Expected Loss€258
Composite Risk Score118.4
CentreSuburban Area CPetrol38 yrsBM 75Renault (B2)

783,573

policies modelled

46,090

claims observed

Dual GLM

Poisson × Gamma pipeline

22

French regions rated

Interactive Simulation

Test the pricing sensitivity in real time

See how small shifts in driver age, vehicle power, and no-claims bonus change the expected annual loss and premium.

Live Actuarial Sandbox

Instant Risk & Premium Estimator

Tweak the levers below to inspect how driver age and claims history shift the loss equation.

Rating Tier:Low Risk
Driver Age38 years
18y (Young Novice)40y85y
Claims Coefficient (Bonus-Malus)BM 75
50 (50% No-Claims Discount)100 (Neutral Base)180 (Surcharged)
Vehicle Category
Simulated RatePoisson-Gamma
Estimated Annual Premium
€214

Pure Expected Loss: €75

Predicted Claim Frequency:0.058 / yr
Expected Claim Severity:€1,291
Launch Full 10-Variable Rating

The Modeling Pipeline

Three rigorous stages behind every underwriting decision

01

Predict claim frequency (Poisson GLM)

A Poisson regression with log-exposure offset estimates the annual likelihood of a policy filing a claim, incorporating driver age, bonus-malus coefficient, and territorial density.

02

Predict claim severity (Gamma GLM)

A Gamma regression model with log link predicts the expected monetary cost per claim condition upon an accident occurring, sensitive to vehicle horsepower class and repair brand groups.

03

Pure premium & technical loadings

Pure Expected Loss = Frequency × Severity. The engine loads commercial expenses, taxes, and margin buffers, enforcing a stable actuarial minimum floor.

Actuarial Precision

Two drivers, two tailored premiums

Traditional insurers charge the group average. Our model isolates idiosyncratic behavioral and demographic factors.

Policyholder A

High Risk

21 · Novice Driver · Hot Hatchback

Area F (Metro)PetrolBM 110 (1 Claim)Power Class 14
Claim Frequency0.681 / yr
Claim Severity€1,730
Final Annual Premium€1,538

Policyholder B

Low Risk

45 · Experienced Commuter · Family Sedan

Area C (Suburban)DieselBM 50 (Max Discount)Power Class 7
Claim Frequency0.156 / yr
Claim Severity€490
Final Annual Premium€122

Policyholder B saves over 92% on the same underwriting baseline because actuarial models price risk exposure, not arbitrary market markups.

Platform Capabilities

Built for retail quotes and institutional portfolio re-rating

Deployable for direct-to-consumer digital brokerages, underwriter workbenches, and reinsurance capital modeling.

B2B Portfolio

High-Throughput Batch Rating

Price complete insurer portfolios containing 100,000+ policies in seconds using optimized vectorized Pandas pipelines.

Supabase Flywheel

Continuous Retraining Flywheel

Anonymized quotes automatically feed Supabase persistence tables, providing clean research data for longitudinal drift analysis.

Actuarial Stress

Geographic Stress Simulation

Stress-test policy books against urban congestion shocks (e.g. traffic surges and severe weather claim anomalies).

Governance Ready

Solvency II Audit Trail

Zero black-box risk. Pure premiums, relativity multipliers, and loadings are fully decomposable for regulatory reporting.

Frequently Asked Questions

Actuarial methodology & compliance

Clear answers to how the statistical models, data telemetry, and rating algorithms function.

In modern actuarial science and under regulatory regimes such as Solvency II and European insurance laws, pricing models must be transparent, auditable, and monotonic. Standard deep neural networks can produce non-monotonic pricing artifacts (e.g. charging an older driver randomly less than a slightly younger one without statistical justification). By separating claim frequency (Poisson regression with log-exposure offset) from claim severity (Gamma regression with log link), actuaries maintain full mathematical interpretability while achieving high statistical predictive power.

Ready to Price

Calculate your personalized rate today

Enter policyholder variables for an instant quote, or upload a complete insurer CSV portfolio for batch pricing.