It is a process where sustained increases in non-overlapping time intervals, are independent random variables. So given the time:
The random variables, equal to the increases of the process Y:
When the increments suffered in intervals of equal length, are equally distributed, the process is called homogeneous with independent increments.
AA.VV., Matematica Finanziaria, Monduzzi Editore, 1998.
Grinstead M. C., Snell J. L., Introduction to Probability, American Mathematical Society, 1997.
Editor: Giuliano DI TOMMASO