Can anyone provide a proof for the variance of poisson distribution?
Show that it is Var(N(t)) = lamda*t without using the Bernoulli distribution and independence way..( which is the typical way of summations or expectations)
Can anyone provide a proof for the variance of poisson distribution?
Show that it is Var(N(t)) = lamda*t without using the Bernoulli distribution and independence way..( which is the typical way of summations or expectations)
Actually the variance = mean = .
To find the variance, all you need to do is calculate .
To find the variance, all you need to do is calculate .
Then .
.
Mr. Fantastic,
Will you tell me why the x^2 doesn't affect the f(x) in the formula for the expected value? I have been working on this problem for almost a week and have just discovered your solution.
Thanks,
Yvonne
Last edited by yvonnehr; September 28th 2009 at 09:13 PM.
Mr. Fantastic,
Will you tell me why the x^2 doesn't affect the f(x) in the formula for the expected value? I have been working on this problem for almost a week and have just discovered your solution.