O'Reilly logo

Statistical Techniques for Transportation Engineering by Naresh Davergave, Anil Shah, G Rao, Kumar Molugaram

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

image

μ4=μ44μ3μ1+6μ2(μ1)23(μ1)4=264(5.5)(1)+6(2.5)(1)+3(1)4=2622+153=16μ1=0,μ2=1.5,μ3=0,μ4=16

image

4.17.2 Moments About Origin

Definition 4.25

The rth moment about origin of a random variable X, denoted by Vr is the expected value of Xr, symbolically

Vr=E[Xr]=i=1nxirpi

image

For r=0, 1, 2, … when X is discrete, and

Vr=E[Xr]=xrf(x)dx

image

when X is continuous. ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required