O'Reilly logo

Simulation for Data Science with R by Matthias Templ

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

The weak law on large numbers

The questions from the previous section led us to limit theorems. The most important limit theorems are the (weak) law of large numbers, the theorem of (Glivenko, 1933) and (Cantelli, 1933), and the central limit theorem.

First we will have a look at the weak law of large numbers. The strong law of weak numbers is mathematically more sophisticated, but tells (almost) the same story.

The weak law of large numbers is a very intuitive concept; Jakob Bernoulli even thought this 20 years after he published it in 1713, as the golden theorem. But if we take a closer look at this law, we jump into a whole world of mathematical statistics.

The weak law of large numbers is applied in betting offices, in financial assessments and ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required