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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
245Stochastic or Random Processes and Time Series
Another pdf typically employed to model rainfall amount is the Gamma pdf
px
xb xb
bc
c
()
()exp( )
()
=
//
1
Γ
(7.20)
where the parameters c and b are shape and scale, respectively. The scale is the inverse of the rate
a = 1/b. The mean and variance are
µσ
XX
cb cb
==
22
(7.21)
For the gamma, it is relatively easy to generate rainfall with a given mean and variance of rain since
we can solve for c and b from Equation 7.21
µσ
σ
µ
µ
σ
XX
X
X
X
X
b
cc
b
bc
==
==
and
and
2
2
22
2
(7.22)
There is no closed form equation for the cdf unless the shape parameter c is an integer and in this
case Γ(c) = (c − 1)! and the pdf reduces to the ...
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Publisher Resources

ISBN: 9781439885017