📄 weibhet_ilfa.ado
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*! version 1.0.1 18sep2000
program define weibhet_ilfa
version 7.0
args todo b lnf g negH g1 g2 g3
tempvar beta lnp lntheta
mleval `beta' = `b', eq(1)
mleval `lnp' = `b', eq(2) scalar
mleval `lntheta' = `b', eq(3) scalar
local t = "$EREGt"
local t0 = "$EREGt0"
local d = "$EREGd"
quietly {
scalar `lnp'=cond(`lnp'<-20,-20,`lnp')
scalar `lntheta'=cond(`lntheta'<-20,-20,`lntheta')
tempname p th
tempvar b b0 c c0 f f0 h h0
scalar `p' = exp(`lnp')
scalar `th' = exp(`lntheta')
gen double `h' = ln(`t')-`beta' if $ML_samp
gen double `h0' = cond(`t0'>0,ln(`t0')-`beta',0) if $ML_samp
gen double `b' = exp(`h'*`p') if $ML_samp
gen double `b0' = cond(`t0'>0, exp(`h0'*`p'),0) /*
*/ if $ML_samp
gen double `c' = sqrt(1+2*`th'*`b') if $ML_samp
gen double `c0' = cond(`t0'>0,sqrt(1+2*`th'*`b0'),0) /*
*/ if $ML_samp
mlsum `lnf' = (1-`c')/`th' - cond(`t0'>0,(1-`c0')/`th',0) + /*
*/ `d'*(-`beta'*`p' + `lnp' + `p'*ln(`t') - ln(`c'))
if `todo'==0 | `lnf'==. {exit}
gen double `f' = `b'/`c' if $ML_samp
gen double `f0' = cond(`t0'>0,`b0'/`c0',0) if $ML_samp
replace `g1' = `p'*(`f' - `f0' + `d'*(`f'*`th'/`c' - 1))
replace `g2' = `p'*(`f0'*`h0'-`f'*`h'+`d'*(-`beta' + /*
*/ 1/`p' + ln(`t') - `f'*`th'*`h'/`c'))
replace `g3' = -`f' + `f0' - (1-`c')/`th' + /*
*/ cond(`t0'>0,(1-`c0')/`th',0) - `d'*`f'*`th'/`c'
tempname d1 d2 d3
mlvecsum `lnf' `d1' = `g1', eq(1)
mlvecsum `lnf' `d2' = `g2', eq(2)
mlvecsum `lnf' `d3' = `g3', eq(3)
matrix `g' = (`d1',`d2',`d3')
if `todo'==1 | `lnf'==. { exit }
tempname d11 d12 d13 d22 d23 d33
mlmatsum `lnf' `d11' = `p'*`p'*(`f'*(`f'*`th'/`c'-1) - /*
*/ cond(`t0'>0,`f0'*(`f0'*`th'/`c0'-1),0) + /*
*/ `d'*`th'*`f'/`c'*(2*`f'/`c'*`th'-1)), eq(1)
mlmatsum `lnf' `d12' = `g1' + `p'*`p'*(`f'*`h'* /*
*/ (1-`f'*`th'/`c') - cond(`t0'>0, /*
*/ `f0'*`h0'*(1-`f0'*`th'/`c0'),0) + `d'*`th'* /*
*/ `f'*`h'/`c'*(1-2*`f'*`th'/`c')), eq(1,2)
mlmatsum `lnf' `d22' = `p'*`p'*(-`f'*`h'*`h'* /*
*/ (1-`f'*`th'/`c') + cond(`t0'>0,`f0'*`h0'*`h0'* /*
*/ (1-`f0'*`th'/`c0'),0) -`d'*`th'*`h'*`h'*`f'/`c'* /*
*/ (1-2*`f'*`th'/`c')) -`d' + `g2', eq(2)
mlmatsum `lnf' `d13' = `th'*`p'*(-`f'*`f'/`c' + /*
*/ cond(`t0'>0,`f0'*`f0'/`c0',0) + `d'*`f'/`c'* /*
*/ (1-2*`th'*`f'/`c')), eq(1,3)
mlmatsum `lnf' `d23' = `p'*(`f'*`h'*`f'*`th'/`c' - /*
*/ cond(`t0'>0,`f0'*`h0'*`f0'*`th'/`c0',0) - /*
*/ `d'*`th'*`f'*`h'/`c'*(1-2*`f'*`th'/`c')), eq(2,3)
mlmatsum `lnf' `d33' = `f'*(1+`f'*`th'/`c')+(1-`c')/`th' - /*
*/ cond(`t0'>0, /*
*/ `f0'*(1+`f0'*`th'/`c0')+(1-`c0')/`th',0) - /*
*/ `d'*`f'*`th'/`c'*(1-2*`th'*`f'/`c'), eq(3)
matrix `negH' = -(`d11', `d12', `d13' \ /*
*/ (`d12')', `d22', `d23' \ /*
*/ (`d13')',(`d23')',`d33')
}
end
exit
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