User:Caswick

Use exponentially weighted moving average to project file transfer in progress:

• x is a duration of time for an event to occur (such as 100K data transfer)
• y bounds the value of x to rational values
• j is lower bound
• k is upper bound
• alpha is the degree of weighting from 0 to 1
• s is the average duration for one event to occur
• w is the number of events (if event is "1k has been transferred", then w=22 for a file transfer of size 22k)
• p is the average period of time w events will consume

Algorithm:

${\begin{aligned}y&=\min(\max(x,j),k)\\s_{1}&=y_{1}\\s_{t}&=\alpha y_{t}+(1-\alpha )s_{t-1}=s_{t-1}+\alpha (y_{t}-s_{t-1})\\p&=sw\,\end{aligned}}$