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Normal period-loss dependence record

Document the joint construction before turning period moments into an aggregate normal-loss record.

Omni Finance AcademyBy Omni Finance Academy
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Use the two original constructions

Each of five period losses has marginal mean 2 and dispersion 10. The CSV compares independent periods with a shared standard normal shock. Both models sum period losses arithmetically; no compounding or position changes are assumed.

Record the aggregate basis

Independent periods give mean 10 and dispersion √5×10. A perfectly shared shock gives mean 10 and dispersion 50. The same period count and marginal moments therefore do not determine the same aggregate variance.

Retain dependence questions

Horizon record
FieldEvidence needed
AggregationAdditive losses or another definition?
PeriodsIdentical or differing parameters?
Joint lawIndependent normal, shared shock or another model?
CovarianceWhich cross-period terms?
ExposureStatic or changing loss construction?
StatusDeclared example or assessed data?

Keep the download’s role clear

The worksheet is a static review record, not a time-series estimator or a horizon-scaling service. If the supplied independence is unsupported, preserve the unresolved question instead of presenting one row as measured risk.

Further references