Almost sure convergence: Difference between revisions
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==Important cases of almost sure 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 <math>\scriptstyle n \rightarrow \infty | |||
</math>. | |||
This is an example of the [[strong law of large numbers]]. | |||
==References== | ==References== | ||
Revision as of 09:15, 5 July 2007
Almost sure convergence is one of the 4 main modes of stochastic convergence.
Examples
Basic example
Intermediate example
Definition
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 .
This is an example of the strong law of large numbers.
References
See also
- Stochastic convergence
- Convergence in distribution
- Convergence in probability
- Convergence in rth order mean