Almost sure convergence: Difference between revisions
Jump to navigation
Jump to search
imported>Ragnar Schroder (Creating initial stub) |
imported>Ragnar Schroder (→Important cases of almost sure convergence: added Mr Greg Woodhouse 's deleted example from main article.) |
||
| Line 11: | Line 11: | ||
==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 08:15, 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