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Question on tilde operator (~) and 'le' logical comparison in GAUSS
proc (1) = gamesim(para,msel,nobs);
local bet1, bet2,
alp, alp1, alp2,
pim1, pim2, pid1, pid2,
pm1, pm2, pd1, pd2,
bet1 = para;
del1 = para;
bet2 = para;
if msel == 1;
del2 = para;
elseif msel == 2;
del2 = del1;
alp1 = para;
alp2 = para;
alp = alp12_to_alp(para[1:6]');
pim1 = bet1 + rndn(nobs,1);
pim2 = bet2 + rndn(nobs,1);
pid1 = pim1 - del1;
pid2 = pim2 - del2;
yy = zeros(nobs,2);
i = 1;
do until i > nobs;
pm1 = pim1[i];
pm2 = pim2[i];
pd1 = pid1[i];
pd2 = pid2[i];
if (pm1<0) AND (pm2<0); yy[i,.] = (0~0);
elseif (pd1>0) AND (pd2>0); yy[i,.] = (1~1);
elseif (pm1 GE 0) AND (pm2 < 0); yy[i,.] = (1~0); elseif (pm1 < 0) AND (pm2 GE 0); yy[i,.] = (0~1); elseif (pd1 GE 0) AND (pm2 GE 0) AND (pd2 < 0); yy[i,.] = (1~0); elseif (pm1 GE 0) AND (pd1 < 0) AND (pd2 GE 0); yy[i,.] = (0~1); else; if rndu(1,1) LE alp; yy[i,.] = (1~0); else; yy[i,.] = (0~1); endif; endif; i = i+1; endo; yy = yy~pim1~pim2~pid1~pid2;
Can anyone explain little about the following three part?
"alp = alp12_to_alp(para[1:6]‘);" I don't understand the logic how do we define variable alp
"if rndu(1,1) LE alp;" why did we put LE alp after rndu(1,1)?
and the line:
yy = yy~pim1~pim2~pid1~pid2;
what does "~" means here.
- The line below means: if the 1x1 uniform random number created by rndu is less than or equal to the value of the variable alp.
if rndu(1,1) LE alp;
This line could have been written also this way:
tmp = rndu(1,1); if tmp < alp;
- The line below:
alp = alp12_to_alp(para[1:6]‘);
performs these steps 1) transpose the first 6 elements of para 2) Pass those 6 elements in to a user defined procedure called apl12_to_alp 3) Assign the return from this function call to alp. GAUSS always uses square brackets  for indexing. Parentheses () are used for function calls and for separating operations i.e. (5*6)+7 vs 5*(6+7)
- The tilde operator ~ performs horizontal concatenation in GAUSS. For example:
a = 5; b = 2; c = a~b;
will assign c to be equal to the row vector:
The tilde operator works for scalars, vectors and matrices