what is the lowest upper bound of standard deviation


by kakarukeys
Tags: bound, deviation, lowest, standard, upper
kakarukeys
kakarukeys is offline
#1
Jul22-04, 12:49 AM
P: 190
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?
Phys.Org News Partner Science news on Phys.org
Internet co-creator Cerf debunks 'myth' that US runs it
Astronomical forensics uncover planetary disks in Hubble archive
Solar-powered two-seat Sunseeker airplane has progress report

Register to reply

Related Discussions
Mean Absolute Deviation/Standard Deviation Ratio Set Theory, Logic, Probability, Statistics 6
least upper bound Calculus 5
Upper bound Calculus 18
Upper bound/Lower Bound Set Theory, Logic, Probability, Statistics 10
Proof of Least Upper Bound Calculus 2