Register to reply

What is the lowest upper bound of standard deviation

by kakarukeys
Tags: bound, deviation, lowest, standard, upper
Share this thread:
kakarukeys
#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
New type of solar concentrator desn't block the view
Researchers demonstrate ultra low-field nuclear magnetic resonance using Earth's magnetic field
Asian inventions dominate energy storage systems

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