nonlinear functions

[bermur]

Hi everyone,

I have SAS 9.2.
This is more of a math side question hope someone has an answer.
I'm working with acceptance sampling plans specifically double sampling by variables.
So I have nonlinear function binomial pdf and which is iterated and calculated according to a array of probabilities [0..1].
I would like to equalize (I mean not exact match, equivalent) the result of my binomial pdf to bivariate normal distribution to find my 3 decision variables which are used to calculate bivariate function. As an example:

do p=0.0001 to 0.9999 by 0.0001;
Paatt = probbnml(p,n,c);

Zp = probit(1-p);

Pa1interup=sqrt(n1)*(Zp-k1);

Pa2interinup=sqrt(n1)*(Zp-k2);
Pa2interindwn=sqrt(n1)*(Zp-k1);
Pa2interoutup=sqrt(n1+n2)*(Zp-k3);

PA1 = probnorm(sqrt(n1)*(Zp-k1));

PAa = probbnrm(sqrt(n1+n2)*(Zp-k3), sqrt(n1)*(Zp-k2), n1/(n1+n2));
PAb = probbnrm(sqrt(n1+n2)*(Zp-k3), sqrt(n1)*(Zp-k1), n1/(n1+n2));

PA2 = PAa - PAb;

PA = PA1 + PA2;
end;

I would like to make the PA equivalent to Pattr by changing k1,k2,k3 for the whole nonlinear function. So its more of a approximation of k values from the result of Pattr vector. Any information may be helpful.
Thanks

[IoannisAkrotirianakis]

This forum is for Operations Research and Mathematical Optimization.
Maybe more relevant information can be found in the Statistics forum at the following link:

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