Are all the continuous stochastic processes with independent increments Wiener processes?
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Wiener Processes are an example of continuous stochastic processes with independent increments, but is the converse true: i.e. are all the continuous stochastic processes with independent increments Wiener Processes? In particular, do they exist processes with increments independently non gaussian distributed?
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Answer:
Increments from the Poisson process [ http://en.wikipedia.org/wiki/Poisson_process ] are independent too.
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