Almost sure convergence

Almost sure convergence is one of the 4 main modes of stochastic convergence.

Important cases of almost sure convergence

If we flip a coin n times and record the percentage of times it comes up heads, the result will almost surely approach 50% as $\scriptstyle n\rightarrow \infty$.

This is an example of the strong law of large numbers.

See also

• Stochastic convergence
• Convergence in distribution
• Convergence in probability
• Convergence in rth order mean

Related topics

• Stochastic variables
• Stochastic processes
• Stochastic diffential equations