We have for example:
<x2> = <x>2+s2
<x4> - <x2>2 ≈ 4s2<x>2 (to first order)
Now combining both equations yields:
<x4> = <x>4+6s2<x>2
Unfortunately this doesn't work that easily for <x6>
Hello everybody,
I'm looking for a proof of the following equation:
<x6> = <x>6+15s2<x>4
where the brackets denote an expectationvalue and s is the standard deviation.
Thanks in advance!