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Term: Credibility Theory

15 Feb 2015

Tools, policies, and procedures used by actuaries when examining data in order to estimate risk. Credibility theory uses mathematical models and methods for making experience-based estimates, in which “experience” refers to historical data.

Understanding the risks associated with providing coverage allows insurance companies to limit its exposure to claims and losses. Insurance companies and actuaries develop models based on historical losses, with the model taking into account a number of assumptions that have to be statistically tested in order to determine how credible they are. For example, an insurance company will examine losses previously incurred from insuring a particular group of policyholders in order to estimate how much it may cost to insure a similar group in the future.

When developing an estimate, actuaries will first select a base estimate. For example, a life insurance company may select a mortality table as the backbone of its base estimate, since claims only arise when the insured dies. Actuaries will use a variety of base estimates to cover the different aspects of type of policy, including the prices that the insurance company typically charges for coverage.

Once a base estimate is established, an actuary will then look through the insurance company’s historical experiences on a policy-by-policy basis. The actuary will study this historical data to see how the insurer’s experience may have differed from the experience of other insurance companies. The examination allows the actuary to create different weights based on variances.

Credibility theory ultimately relies on the combination of experience estimates from historical data as well as base estimates in order to develop formulas. The formulas are used to replicate past experiences, and are then tested against actual data. Actuaries may use a small data set when creating an initial estimate, but large data sets are ultimately preferred because they have greater statistical significance.

Covid-19 – Johns Hopkins University

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