I have a conceptual question here. I understood how to calculate a Moving Average(MA).
For example :
x(n) = 0, 1, 2, 3, 4, 5
MA = 0, 1/2, 3/2, 5/2,7/2, 9/2, where for calculation of the MA we only take the past values without any update
Is there also a case , where we use the newly calculated values and use that to update the MA for the next time instant?
x(n) = 0, 1, 2, 3, 4, 5
MA (n=0) = 0
MA (n=1) = (0 +1) /2 = 1/2
MA(n = 2) = (2 + 1/2) /2 = 5/4
MA(n = 3) = (3 + 5/4) = 17/4 and so on ?
Does this find an application anywhere?
Please help me with this understanding.