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law of large numbers |
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law of large numbers n (Mathematics & Measurements / Statistics) the fundamental statistical result that the average of a sequence of n identically distributed independent random variables tends to their common mean as n tends to infinity, whence the frequency of the occurrence of an event in n independent repetitions of an experiment tends to its probability
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They happen frequently, and independently of each other, so the law of large numbers comes into play, and the insurer can reliably predict annual losses and set a premium that will cover them. If the law of large numbers exists and the primary concern of underwriting is profitability, underwriting should be conducted as a scientific discipline. Markov (1856-1922) extended the application area of the law of large numbers and of the central limiting theorem to dependent experiments and laid the groundwork for the theory of stochastic processes, etc. |
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