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I have a couple of questions about the Rice distribution and deriving the moments for the aforementioned distribution as well.

The PDF for the Rice distribution is given by wikipedia here:

So, for the left hand side, I am assuming that 'x' is the observed value and 'v' is the true value and the noise is described by the 'sigma' term.

Now, I am reading a paper that is related to estimation of noise (which is assumed to have a rice distribution) and it has the following comment:

"The problem is that the expected value of x is not v, and yet the bias depends on v, so common filtering approach based on averaging samples of x are not adequate".

This statement has me confused. OK, so it is reasonable that the true value is not the expected value but does anyone know what the author might mean with "and yet the bias depends on v".

I would be really grateful of someone can shed some light on this.

Cheers,

Luc

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# Question about Rice distribution

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