Main Question or Discussion Point
Can anybody explain to me how to get the mean and the Variance for a specific function.
If you know exactly the pdf (probability density function) [tex]f(x)[/tex], the formula for the mean isCan anybody explain to me how to get the mean and the Variance for a specific function.
for my functionFor a specific function h of a random variable x with p.d.f. f(x),
Mean = E[h(x)] = ∫h(x)f(x) dx
Variance = E[(h(x) - Mean)^2] = ∫(h(x) - Mean)^2 f(x) dx
both integrated over the domain of f(x).
m = Σi h(xi)/N
s^2 = Σi (h(xi) - m)^2/(N-1)
I'd like to find the mean and variance for the following functionT.Engineer,
Please post the complete problem, exactly as it was given to you. You seem to be leaving out a lot of important information.
Thanks alot!You can simulate this for a given n (random t).
You can simulate it for a given t and random n.
You can also simulate it with random t and random n.
You can collect the data and calculate the mean and the variance.
yi is the i'th individual data point (function value). (y1 = first data point, y2 = second, ...)Thanks alot!
but I dont know how to start?
should I use the method which represented by
and if yes, how to enter my function to this simulation?
for example in the first equation , what did he mean by
Now, can you tell me how to start and from where?you mean to say Hn(#) = (-1)^n cos(2π fc #)* e^[(#^2)/4] *d^n/d#^n *e^[(#^2)/4] for some generic (general) argument # where # = t - jTf - cj Tc - r d^kj
Once you attach each of t and n to a frequency distribution, you can easily simulate your function to calculate the AC coefficient. You can also determine it analytically, by applying the formulas under this thread and under this other thread.