## Independent Increment Process

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:

are independent.

When the increments suffered in intervals of equal length, are equally distributed, the process is called homogeneous with independent increments. *Bibliography*

AA.VV., Matematica Finanziaria, Monduzzi Editore, 1998

Grinstead M. C., Snell J. L., Introduction to Probability, American Mathematical Society, 1997

Editor: Giuliano DI TOMMASO