What Solutions Exist for Understanding Random Processes?

  • Thread starter Thread starter hananl
  • Start date Start date
  • Tags Tags
    Random
hananl
Messages
21
Reaction score
0
random process

Hello everybody,
Does any of few familier with random numbers?
I have a problem, i cannot resolve...
I just copied paste from the pdf file. Since it won't be displayed here nicly, the .doc file is attached.
I 'll be very thankfull.

Thanks.
 

Attachments

Last edited:
Physics news on Phys.org
What worries me is that I find nothing in that problem that has to do with "random numbers". You have a random process and a number of questions having to do with an "iid", "stationary process", "mean zero process", and "ergodic process". Do you know the definitions of those terms?
 
Dear HallsofIvy,
you are right, I have changed the title for "random process".
I guess this is more correct.
But can you help me with that?
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Characterizing random processes
Replies
8
Views
1K
Sinusoidal sequences with random phases
Replies
1
Views
1K
Poisson random process problem
Replies
10
Views
2K
I Random variable vs Random Process
Replies
2
Views
2K
Pdf of sum of two random variables problem
Replies
3
Views
2K
KarhunenLoeveDecomposition function in Mathematica
Replies
1
Views
973
I Differences between the PCA function and Karhunen-Loève expansion
Replies
1
Views
2K
Help with this example problem
Replies
2
Views
1K
I Randomness as a function of the observer's knowledge
Replies
2
Views
1K
ODE question: Understanding a step in the solution
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top