Difference between revisions of "Law of large numbers"

From TORI
Jump to: navigation, search
Line 16: Line 16:
 
</ref>.
 
</ref>.
   
  +
<!--
 
$\mathbb P$
 
$\mathbb P$
   
Line 21: Line 22:
   
 
$\displaystyle
 
$\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}
Line 28: Line 29:
 
=\erfc(t)
 
=\erfc(t)
 
$
 
$
  +
!-->
 
 
==References==
 
==References==
 
<references/>
 
<references/>

Revision as of 07:02, 1 December 2018

Law of large numbers is theorem from the course of [theory of probability. The theorem states that the sum of independent identically distributed random variable approaches the normal distribution.

The rate of this approach is determined by the Bernoulli law of large numbers (The formulation of the theorem is attributed to Jacob Bernoulli ) [1].

This article is to deal with some strange behavior of MathJax. While the technical error is analysed, use wikipedia [2].

References

  1. 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.
  2. http://en.wikipedia.org/wiki/Law_of_large_numbers