You could use -twoway function- to plot the frontier.
The example below plots, for the first two observations, the frontier
(assuming a Cobb-Douglas production function), and the input isoquant and
displays the output-oriented and input-oriented measures of technical
efficiency.
Scott
webuse greene9,clear
frontier lnv lnk lnl
predict xb,xb
gen y = exp(xb)
forv i = 1/2 {
local lab = `=labor[`i']'
local min = 1
local max = `lab' + `lab'/5
local eff_labor =
((value[`i'])/(exp(_b[_cons])*(`=capital[`i']'^_b[lnk])))^(1/_b[lnl])
twoway function y = exp(_b[_cons])*(`=capital[`i']'^_b[lnk])*x^_b[lnl],
range(`=`min'' `=`max'') ///
|| scatteri `=value[`i']' `=labor[`i']' , msize(medlarge) name(output`i',
replace) mc(blue) ///
|| pcarrowi `=value[`i']' `=labor[`i']' `=value[`i']' `eff_labor' ,
mcolor(blue) lc(blue) ///
mlabcolor(blue) msize(medium) barbs(medium) ///
|| pcarrowi `=value[`i']' `=labor[`i']' `=y[`i']' `=labor[`i']' ,
legend(off) ///
msize(medlarge) title(Input and Output Oriented Measure of Efficiency)
subtitle(Capital Fixed) ///
ylabel(, angle(0)) ytitle(Output) xtitle(Labor) mcolor(blue) lc(blue)
msize(medium) barbs(medium)
local cap = `=capital[`i']'
local range_cap = `cap' + `cap'/5
local eff_capital =
((value[`i']/exp(_b[_cons]))/((labor[`i']/capital[`i'])^_b[lnl]))^(1/(_b[lnl
] + _b[lnk]))
local eff_labor = (labor[`i']/capital[`i'])*`eff_capital'
twoway function y = (`=value[`i']'/(exp(_b[_cons])*x^_b[lnk]))^(1/_b[lnl]),
range(1 `=`range_cap'') ///
|| scatteri `=labor[`i']' `=capital[`i']' ,name(input`i', replace) mc(blue)
///
|| pcarrowi `=labor[`i']' `=capital[`i']' `=`eff_labor'' `=`eff_capital'' ,
lw(medthick) ///
mcolor(blue) lc(blue) msize(medium) barbs(medium) legend(off) ///
ylabel(, angle(0)) ytitle(Labor) xtitle(Capital) title(Input Oriented
Measure of Efficiency)
}
-----Original Message-----
> From: [email protected] [mailto:owner-
> [email protected]] On Behalf Of Viktor Slavtchev
> Sent: Monday, February 13, 2006 2:49 AM
> To: [email protected]
> Subject: st: plot the deterministc frontier
>
> hello dear statalisters,
> is there some easy way to plot the deterministic frontier after using
> -frontier-?
> thanks for any help
> viktor
>
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