
38 Decision Based Design
equal to x. A CDF can be completely determined by the pdf of the random
variable.
∫
=≤=
−∞
() () ()Fx PX xftdt
x
(2.7)
In multiple dimensions we look at joint CDFs of multiple variables. A joint
CDF is a two-increasing function of the random variables. Joint CDFs can be
represented using copulas by using the marginal distributions of the constit-
uent variables. These concepts are presented at various points in this book
wherever relevant, particularly in Chapter 6.
Problems and Exercises
1. What is engineering design?
2. Who is central to engineering design? When did this change in out-
look toward design take place?