Covariance, Mathematics

Covariance

The variance is a measure of the variability or dispersion in a variable or data set.

A measure of the variability of one variable (or data set) in relation to another variable (or data set), is the covariance.

The variability of one variable (or data set) {X} in relation to another variable (or data set) {Y} would depend upon three factors:

  1.     The variability of X which may be measured by the standard deviation sx of X.
  2.     The variability of Y which may be measured by the standard deviation sy of Y.
  3.     The correlation between X and Y.

Hence, if the variable X is the same as the variable Y, the covariance between the two reduces to the variance of either.

In other words, the variance is a special case of covariance.

Posted Date: 9/15/2012 1:24:22 AM | Location : United States







Related Discussions:- Covariance, Assignment Help, Ask Question on Covariance, Get Answer, Expert's Help, Covariance Discussions

Write discussion on Covariance
Your posts are moderated
Related Questions
Laws of Set Algebra From the given Venn diagram where T is the universal set and A its subset that we can deduce a number of laws as: i. A υ Ø = A ii. A υ T = T


What is equivalence relation?  Prove that relation  'congruence modulo' (  ≡mod m) is an equivalence relation.  Ans: A relation R illustrated on a nonempty set A is said to be

Consider the regression model  Y i = a + bX i + u i ,  where the  X i   are non-stochastic and the  u i   are independently and identically distributed with  E[u i ] = 0  and  va

write FORTRAN programme to generate prime numbers between 1 and 100

First, see that the right hand side of equation (2) is a polynomial and thus continuous. This implies that this can only change sign if this firstly goes by zero. Therefore, if the

If d is the HCF of 30, 72, find the value of x & y satisfying d = 30x + 72y. (Ans:5, -2 (Not unique) Ans:    Using Euclid's algorithm, the HCF (30, 72) 72 = 30 × 2 + 12

Find out if the following series is convergent or divergent. Solution There really is not very much to these problems another than calculating the limit and then usin

Consider the integral where the notation means a contour that is parallel to the real z axis, but moved down by a distance d . Use the method of steepest descents to deri

A school principal is looking at the combinations of subjects students are studying. He learns that the probability that a student is studying Chemistry is 0.5 and that the prob