Hi Bernhard

Oh dear we're getting into naming issues again!!  I'm not clear what's the 
distinction you're making between 'A Rice function' and 'THE Rice function' 
since my understanding was that there was only one form of Rice distribution, 
i.e. the one defined here: http://en.wikipedia.org/wiki/Rice_distribution .

As for the 'Sim function', one problem seems to be that crystallographers 
appear to have used this to mean two different things: 1) the PDF of the 
*(complex) structure factor*, which is really just a 2-D Gaussian, and 2) the 
PDF of the *(real) structure amplitude*, which is the Rice distribution, and 
which is the result of integrating out of the phase (which gives the I0 
component of the Rice distribution) from the structure factor distribution.

I don't have Sim's original paper to hand so I don't know know how he defined 
it, or even whether he ever called his function a 'Rice function'.  However it 
would seem more logical to call the integrated (Rice) form of Sim's function 
'the Sim distribution' and not use this term to mean the 2-D Gaussian.

As for ACNSFD & CCNSFD, I'm not clear what you mean, could you be more 
specific, in particular do you mean the *structure amplitude* distributions?

Cheers

-- Ian

> -----Original Message-----
> From: owner-ccp...@jiscmail.ac.uk [mailto:owner-ccp...@jiscmail.ac.uk] On
> Behalf Of Bernhard Rupp
> Sent: 09 April 2009 07:06
> To: CCP4BB@jiscmail.ac.uk
> Subject: Rice vs Sim vs ACNSFD
> 
> Dear All,
> 
> 
> 
> I am unsure about the likelihood function nomenclature.
> 
> 
> 
> I have seen the Sim function called the Rice function, and
> 
> aIso have read the acentric conditional normalized structure factor
> distribution (ACNSFD)
> 
> called the Rice function (the centric conditional normalized structure
> factor distribution
> 
> consistently seems to be the Woolfson distribution).
> 
> 
> 
> Looking at both the Sim and ACNSFD, they look like the
> 
> pdf in figure 6 of Rice ( who interestingly, attributes the function
> 
> to a Mr Bennett in 'some unpublished work'. So I guess Rice made the
> Race).
> 
> 
> 
> So believe that
> 
> a)      both the Sim distribution and the ACNSFD
> 
>  are A Rice function, not THE Rice function. Agreeable?
> 
> 
> 
> b)      is there a proper name for the ACNSFD or generally
> 
> for the acentric conditional structure factor distribution?
> 
> 
> 
> Thx, BR
> 
> -----------------------------------------------------------------
> Bernhard Rupp
> 001 (925) 209-7429
> +43 (676) 571-0536
> b...@qedlife.com
> b...@ruppweb.org
> http://www.ruppweb.org/
> -----------------------------------------------------------------
> 
> Die Wissenschaft und die Wissenschafter werden
> 
> von Angst regiert - Angst vor der öffentlichen
> 
> Meinung, Angst vor religiöser Intoleranz, vor
> 
> politischem Druck und vor allem Angst vor
> 
> Heuchelei und Vorurteilen.
> 
> 
> 
> William Masters und Virginia Johnson, 1970
> -----------------------------------------------------------------
> 
> 
> 
> 



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