kakarukeys
Jul22-04, 12:49 AM
for a normalized distribution function f(p) over a finite interval I,
f(p) >= 0,
Int f(p) dp (over I) = 1
the standard deviation is given by the square root of
<p^2> - <p>^2
= Int p^2 f(p) dp - (Int p f(p) dp)^2
how to find the lowest upper bound (if exists) of the standard deviation?
Variational Calculus?
f(p) >= 0,
Int f(p) dp (over I) = 1
the standard deviation is given by the square root of
<p^2> - <p>^2
= Int p^2 f(p) dp - (Int p f(p) dp)^2
how to find the lowest upper bound (if exists) of the standard deviation?
Variational Calculus?