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
Going nuts? Turkey looks to pistachios to heat new eco-city
Space-tested fluid flow concept advances infectious disease diagnoses
SpaceX launches supplies to space station (Update)

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