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Data Analysis and Statistics for Geography, Environmental Science, and Engineering
book

Data Analysis and Statistics for Geography, Environmental Science, and Engineering

by Miguel F. Acevedo
December 2012
Beginner content levelBeginner
557 pages
19h 5m
English
CRC Press
Content preview from Data Analysis and Statistics for Geography, Environmental Science, and Engineering
64 Data Analysis and Statistics for Geography, Environmental Science, and Engineering
When X is continuous
µ
X
EX xp xdx==
−∞
+∞
[] () (3.11)
Note that the integration is over all values of X.
Example: Uniform in [0, 1]. In this case b = 1, a = 0. We know that p(x) = 1/(ba) = 1.
µ
X
EX xdxx==
==
[]
1
2
1
2
2
0
1
0
1
(3.12)
You need to recall integration from calculus.
The expected value or mean is a population concept. To calculate it we need its density or mass
function. The mean is not the same as the statistic known as the “sample mean” (Davis, 2002,
pp.28–29; p. 65; Carr, 1995). As explained in Chapter 1, the sample mean is the arithmetic average
of n
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Publisher Resources

ISBN: 9781439885017