Actuarial & Insurance

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Credibility Weighting

Blend own experience with the wider average by a credibility factor.

Formula

P = Z\bar{x} + (1-Z)\mu

Variables

PBlended estimate

ZCredibility factor

x̄Own experience

μPopulation mean

Example

Z=0.6, own $500, market $400: P = $460

Did You Know?

Credibility theory tells insurers how much to trust a small client's own claims history versus the broader book.

actuarial credibility pricing

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