# Reference request: law of large numbers

I am writing a paper, and I need to cite the law of large numbers.

Precisely, I want to use the statement that if $\{x_{1},...,x_{n}\}$ are independent random samples generated from a distribution with expectation $\mu$, then $$\lim_{n\to\infty} \sum_{i=1}^n \frac{x_{i}}{n} = \mu.$$

Which is the standard reference for this theorem?

• That there should be a standard reference is questionable. That there are myriad accessible references is evident from a Web search for weak law of large numbers
– whuber
Apr 10, 2018 at 20:03
• Which law of large numbers? Strong or weak? Apr 10, 2018 at 21:20