Which of these statements is NOT a characteristic of the law of large numbers?

The law of large numbers is a fundamental principle in insurance that states that as the number of exposure units increases, the actual losses incurred will tend to converge on the expected losses based on past experience. This principle supports the predictability of losses when they are aggregated over a large number of policyholders.

The first three statements accurately reflect aspects of this concept:

• Individual losses reference the idea that while specific individual losses can be unpredictable, over time and with sufficient data, patterns can emerge that allow for better forecasting.
• Group losses highlight that when analyzing a larger pool of individuals or events, predictions about possible losses become increasingly reliable due to the averaging effect of large numbers.
• Higher accuracy in predicting losses in large groups captures the essence of the law, indicating that variability decreases as the sample size increases, leading to more reliable estimation of outcomes.

The statement regarding the calculation of rates to compensate for losses, though related to insurance practice, does not directly pertain to the law of large numbers itself. The law describes loss predictability, while the calculation of rates involves not just predictions but also considerations of expenses, profit margins, and market conditions, thereby making it distinct from the characteristics defined by the law of large numbers.