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:
DMT Transmitter
View
DMT Transmitter
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
Transform Methods
(m23473)
Author:
Paul E Pfeiffer
Keywords:
Center of mass
,
Characteristic function
,
Generating function
,
Independence
,
Integral transforms
,
Laplace transform
,
Moment generating function
,
Moments
,
Operational properties
,
Simple random variables
,
Spread of the distribution
,
Transforms
,
Uncorrelated
Summary:
The mathematical expectation E[X] of a random variable locates the center of mass for the induced distribution, and the expectation of the square of the distance between X and E[X] measures the spread of the distribution about its center of mass. These quantities are also known, respectively, as ... random variables.
[Expand Summary]
The mathematical expectation E[X] of a random variable locates the center of mass for the induced distribution, and the expectation of the square of the distance between X and E[X] measures the spread of the distribution about its center of mass. These quantities are also known, respectively, as the mean (moment) of X and the variance or second moment of X about the mean. Other moments give added information. We examine the expectation of certain functions of X. Each of these functions involves a parameter, in a manner that completely determines the distribution. We refer to these as transforms. In particular, we consider three of the most useful of these: the moment generating function, the characteristic function, and the generating function for nonnegative, integervalued random variables.
[Collapse Summary]
Subject:
Mathematics and Statistics
Language:
English
Popularity:
76.28%
Revised:
20090918
Revisions:
8
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:
1631
Visit a random collection
Total Modules:
26812
Visit a random module