Almost sure convergence: Difference between revisions

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'''Almost sure convergence''' is one of the 4 main modes of [[stochastic convergence]].
'''Almost sure convergence''' is one of the four main modes of [[stochastic convergence]].
 


==Examples==
==Examples==
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==Definition==
==Definition==


==Important cases of almost sure convergence==
==Important cases of almost sure convergence==
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*[[Convergence in probability]]
*[[Convergence in probability]]
*[[Convergence in rth order mean]]
*[[Convergence in rth order mean]]


==Related topics==
==Related topics==
*[[Stochastic variables]]
*[[Stochastic variable]]
*[[Stochastic process|Stochastic processes]]
*[[Stochastic process]]
*[[Stochastic diffential equations]]
*[[Stochastic diffential equation]]





Revision as of 15:28, 7 July 2007

Almost sure convergence is one of the four 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

Related topics


External links