What is the lowest upper bound of standard deviation

  1. 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?
     
  2. jcsd
Know someone interested in this topic? Share a link to this question via email, Google+, Twitter, or Facebook
Similar discussions for: What is the lowest upper bound of standard deviation
Loading...