I study statistics in network engineering.
In network engineering, network flow can be shaped.
For example, flow rates $X$ is sampled according to time,
$X =\{10\mathrm{Mbps}, 17\mathrm{Mbps}, 18\mathrm{Mbps}, \ldots\}$
then Flow $X$ can be shaped (limited) to $X' =\{9\mathrm{Mbps}, 9\mathrm{Mbps}, 9\mathrm{Mbps}, \ldots\}$ by using various mechanism like token bucket algorithm.
It is called the flow shaping in network engineering.
Mathematically, we can see that the time-series $X$ is transformed into $X'$
By transforming, each $X$ and $X'$ has a different distribution.
I know the concept of Data transformation in Statistics but this is is a little different because $X$ has a physical limitation. For example, $X$ cannot be transformed into $X' =\{20\mathrm{Mbps}, 20M\mathrm{Mbps}, 20\mathrm{Mbps}, \ldots\}$.
Is there a term for this concept in Statistics?
Thank you for reading!