Finding the Variance of (1/S)

Given that we have where is unknown.

Find Where is the sample Mean, is the sample variance and is the variance.

So...

Since and are independent,

We were having a real hard time finding . Also, can the be broken up in a similar way to the other term?

Is there another way to approach this problem?

Re: Finding the Variance of (1/S)

I can't get the LaTex to work. But the first error is the variance of the sample mean divided by the sample standard deviation. We've been haveing a hard time finding the E(1/S) and E(1/S^2)... Any ideas?

Re: Finding the Variance of (1/S)

Quote:

Originally Posted by

**jameselmore91** We've been asked to find the

where

is the Sample Mean and S is the Sample Variance.

We've worked it all out but are having a hard time caclulating

and

.

Any ideas? Is there an easier way to approach this problem?

Use [TEX]...[/TEX] raps for LaTeX.

Re: Finding the Variance of (1/S)

Without any further asumption on the rv's distributions, it's not possible to say anything...

Re: Finding the Variance of (1/S)

The only thing known about the random variables is that they are identically and independently distributed with population mean µ and variance "sigma squared"