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You could avoid loss of precision for small erf values by using
SQRT(inv_gamma(erf_value,0.5,1)) where inv_gamma is the highly accurate equivalent of GAMMAINV from Ian Smith's VBA library http://members.aol.com/iandjmsmith/Examples.xls Unfortunately, the native GAMMAINV function is very crude for the purpose. Sorry to come so late to the party, but Google's indexing of newsgroups was down for nearly half a month, so I just stumbled onto this thread. Jerry "Harlan Grove" wrote: Someone's gotta ask, since ERF(x) = 2*NORMSDIST(x*SQRT(2))-1, then why not use NORMSINV? That is, why not estimate InverseERF(y) as =NORMSINV((y+1)/2)/SQRT(2) ..'InverseErf [0.1] ..'0.0888559904942577 =NORMSINV((0.1+1)/2)/SQRT(2) - 0.0888559904942577 ..'InverseErf [0.5] ..'0.4769362762044698 =NORMSINV((0.5+1)/2)/SQRT(2) - 0.47693627620447 ..'InverseErf [0.9] ..'1.163087153676674 =NORMSINV((0.9+1)/2)/SQRT(2) - 1.16308715367667 |
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