Geert Verdoolaege wrote:
> How can I estimate the probability distribution of a non-stationary
> signal?
>
> Thanks,
> Geert

... it depends what you mean by the whole question and by the various
parts of the question.

... in particular, what do you mean by "non-stationary" (for your
specific application) ? For example, if the siognal is non-stationary
because of seasonal effects, this leads to a set of possible answers
to your question that aren't available otherwise.

... again, if you have available a set of multiple realisations of the
signal, this opens up another set of possibilities.

... what do you mean by "the probability distribution" ? Do you mean
the conditional distribution at some time-point or the marginal
distribution. If you mean the marginal distibution, this might be
something well-defined and might be estimable given some basic
assumptions, but it depends on what you mean by "non-stationary".

... if the "signal" is driven by other effects which are themselves
measurable, this again leads to another set of possible approaches,
depending on what you are actually trying to do.

David Jones


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