Difference between revisions of "Law of large numbers"
(Problem with formula..) |
(Formula is not shown..) |
||
| Line 6: | Line 6: | ||
[[Bulletin of theAmerican Mathematical Society, v.50, No.3, July 2013, p.373-390. |
[[Bulletin of theAmerican Mathematical Society, v.50, No.3, July 2013, p.373-390. |
||
</ref>. |
</ref>. |
||
| + | |||
| − | $$ |
||
| + | $\displaystyle |
||
\lim_{n_\rightarrow \infty |
\lim_{n_\rightarrow \infty |
||
\frac{1}{\ln(N)} |
\frac{1}{\ln(N)} |
||
\sum_{n=1}^{N} |
\sum_{n=1}^{N} |
||
\frac{1}{n} |
\frac{1}{n} |
||
| − | \mathbbI_{ |
||
| − | \{ |
||
... |
... |
||
| − | \} |
||
| − | } |
||
=\erfc(t) |
=\erfc(t) |
||
| − | + | $ |
|
==References== |
==References== |
||
Revision as of 18:03, 6 July 2013
Law of large numbers, or Bernoulli law of large numbers is theorem from the course of [theory of probability.
The formulation of the theorem is attributed to Jacob Bernoulli [1].
$\displaystyle \lim_{n_\rightarrow \infty \frac{1}{\ln(N)} \sum_{n=1}^{N} \frac{1}{n} ... =\erfc(t) $
References
- ↑ Manfred Denker. Tercentennial anniversary of Bernoulli's law of large numbers. [[Bulletin of theAmerican Mathematical Society, v.50, No.3, July 2013, p.373-390.
