Thanks, Ric.

I've tried it with & without the tilde, as the original paper had it,
and both load the required verb. But since the tilde is standard
nowadays, I've put it in.

I think I'll let Aai's fix stand in Edn 2. For a while (at least) it's
possible that a novice reader may find him/herself with a non
"well-behaved" cnd.

Ian


On 7/1/09, Sherlock, Ric <[email protected]> wrote:
> > From: Ian Clark
>
> >
>  > Interestingly the alternative implementation (after Ewart Shaw) of the
>  > verb: cnd which is introduced later will work correctly with the
>  > original definition of BlackScholes, not needing the cnd"0 fix.
>  > Because for Shaw's implementation:
>  >
>  > cnd (d1,d2) <--> (cnd d1),(cnd d2)
>  >
>  > This discrepancy is something the owners of statdist.ijs in J602 might
>  > like to ponder.
>
>
> The line in the article that loads the statdist.ijs script looks like it is 
> missing a tilde. I suspect that it won't work in its current form. Should 
> probably be:
>   load '~system\packages\stats\statdist.ijs'
>
>  However the scripts in ~system/packages/stats have recently been recreated 
> as the stats/base addon. http://www.jsoftware.com/jwiki/Addons/stats/base
>  As I understand it the plan is for many of the packages currently 
> distributed in ~system/packages to be removed from there and made available 
> as addons instead.  For that reason I think it would be safer to reference 
> the script in its new incarnation as:
>
>   load 'stats/base/distribution'
>
>  or if you want to make it more obvious that it is an addon & must be 
> installed:
>
>   load '~addons/stats/base/distribution.ijs'
>
>  That script also includes the verbs erf and normalcdf which are basically 
> the erf & cnd described in the At Play with J article.
>  http://www.jsoftware.com/jwiki/Addons/stats/base/distribution
>
>  For a more well-behaved cumulative normal distribution verb, I suggest using 
> the verb pnorm (or pnorm01_pdistrib_) from the stats/distribs addon.
>  http://www.jsoftware.com/jwiki/Addons/stats/distribs
>
>  pnorm uses Ewart Shaw's algorithm for values between _7 & 7, but a Chebychev 
> expansion for values outside that range where normalcdf becomes unstable as 
> explained on the addon page.
>
>
>
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