Lower bound variance

1. What is lower bound of variance?
2. What does lower bound value mean?
3. What is variance upper bound?

What is lower bound of variance?

Lower variance bounds are derived for functions of a random vector X, thus extending previous results. Moreover, the w-function associated X is shown to characterize its distribution, and a special application shows the multivariate central limit theorem.

What does lower bound value mean?

A value that is less than or equal to every element of a set of data. Example: in 3,5,11,20,22 3 is a lower bound. But be careful! 2 is also a lower bound (it is less than any element of that set), in fact any value 3 or less is a lower bound.

What is variance upper bound?

The upper bounds for the variance of a function g of a random variable X obtained in Cacoullos (1982) (for short CP) are improved in the case μ = E(X) ≠ 0. A main feature of these bounds is that they involve the second moment of the derivative or the difference of g.