The first limit theorem in the history of probability theory belongs to Bernoulli, and later people call it "the law of large numbers". In probability theory, the law that the arithmetic mean of random variable sequence converges to the arithmetic mean of each mathematical expectation of random variable is discussed.

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Note that the law of large numbers is not an empirical law, but a theorem strictly proved under some additional conditions. It is a natural law, so it is usually not called a theorem, but a "law" of large numbers. The theorem of large numbers we talk about is usually proved by mathematicians and named after them, such as Bernoulli's theorem of large numbers.