Skip to content.

Skip to navigation
Log In
Contact Us
Report a Bug
Search Site
OpenStaxCNX
Sections
Home
Content
Lenses
About Us
Help
MyCNX
You are here:
Home
»
Content
Content similar to:
Box Plots
View
Box Plots
Browse Content

Search for Content
(What are
modules
and
collections
?)
Sort by:
Relevance
Popularity
Language
Revision Date
Title
Type
Results per page:
10
25
100
View:
Detail

Compact

Statistics
Convergence and the central Limit Theorem
(m23475)
Author:
Paul E Pfeiffer
Keywords:
Convergence of sequences of random variables
,
Relationships between types of convergence
,
Weak law of large numbers
Summary:
The central limit theorem (CLT) asserts that the sum of a large class of independent random variables, each with reasonable distributions,is approximately normally distributed. Various versions of this theorem have been studied intensively. On the other hand, certain common forms serve as the basis of an extraordinary amount of ... quite appropriate
[Expand Summary]
The central limit theorem (CLT) asserts that the sum of a large class of independent random variables, each with reasonable distributions,is approximately normally distributed. Various versions of this theorem have been studied intensively. On the other hand, certain common forms serve as the basis of an extraordinary amount of applied work. In the statistics of large samples, the sample average is approximately normalâ€”whether or not the population distribution is normal. In much of the theory of errors of measurement, the observed error is the sum of a large number of independent random quantities which contribute additively to the result. Similarly, in the theory of noise, the noise signal is the sum of a large number of random components, independently produced. In such situations, the assumption of a normal population distribution is frequently quite appropriate
[Collapse Summary]
Subject:
Mathematics and Statistics
Language:
English
Popularity:
80.93%
Revised:
20090918
Revisions:
6
Popularity is measured as percentile rank of page views/day over all time
My Account
Username
Password
Cookies are not enabled. You must
enable cookies
before you can log in.
Get an account
Forgot your password?
Repository
Total Collections:
1494
Visit a random collection
Total Modules:
24371
Visit a random module