{smcl} {* *! version 1.0.3 09jun2008}{...} {cmd:help opreg}{right: ({browse "http://www.stata-journal.com/article.html?article=st0145":SJ8-2: st0145})} {hline} {title:Title} {p2colset 5 14 16 2}{...} {p2col :{hi:opreg} {hline 2}}Production function estimation using Olley and Pakes' technique{p_end} {p2colreset}{...} {title:Syntax} {p 8 14 2} {cmd:opreg} {depvar} {ifin}{cmd:,} {opt exit(varname)} {opt state(varlist)} {opt proxy(varname)} {opt free(varlist)} [{opt cvars(varlist)} {cmd:vce(bootstrap, }{it:{help bootstrap_options}}{cmd:)} {opt l:evel(#)}] {synoptset 35 tabbed}{...} {marker options}{...} {synopthdr} {synoptline} {p2coldent:* {opt exit(varname)}}{it:varname} indicates a firm's exit{p_end} {p2coldent:* {opt state(varlist)}}state variables appearing in production function{p_end} {p2coldent:* {opt proxy(varname)}}variable to proxy for unobserved productivity{p_end} {p2coldent:* {opt free(varlist)}}additional variables used in the second stage only{p_end} {synopt :{opt cvars(varlist)}}additional variables used in both the first and second stages{p_end} {synopt :{cmd:vce(bootstrap, }{it:{help bootstrap_options}}{cmd:)}}specify bootstrap options{p_end} {synopt :{opt l:evel(#)}}set confidence level; default is {cmd:level(95)}{p_end} {synoptline} {p2colreset}{...} {p 4 6 2}* {opt exit(varname)}, {opt state(varlist)}, {opt proxy(varname)}, and {opt free(varlist)} are required.{p_end} {p 4 6 2}A panel variable and a time variable must be specified by using {cmd:xtset}; see {manhelp xtset XT}. {title:Description} {pstd} {cmd:opreg} estimates the production function in the presence of selection bias and simultaneity by using the three-stage algorithm described in Olley and Pakes (1996). {title:Options} {phang} {cmd:exit(}{it:varname}{cmd:)} specifies a variable coded 0/1, where at time {it:t} for firm {it:i}, {it:varname_it} equals 1 if the firm exited at the beginning of that period and zero otherwise. {phang} {cmd:state(}{it:varlist}{cmd:)} specifies up to two state variables. {phang} {cmd:proxy(}{it:varname}{cmd:)} specifies the proxy variable to be used in the equation determining exit. {phang} {cmd:free(}{it:varlist}{cmd:)} specifies variable inputs that are not to be included in the exit equation. {phang} {cmd:cvars(}{it:varlist}{cmd:)} specifies variable inputs that are also included in the exit equation. {phang} {cmd:vce(bootstrap, }{it:{help bootstrap_options}}{cmd:)} allows you to specify options to control the bootstrap process. The most commonly used {it:bootstrap_options} is {opt reps(#)}, which control the number of replications performed. The default is {opt reps(50)}. {phang} {opt level(#)}; see {manhelp estimation_options R}. {title:Remarks} {p 4 4 2} The first and second stages use a second-degree polynomial expansion. With one state variable, the polynomial term is state^2 + proxy^2 + state*proxy. With two state variables, the polynomial term is state1^2 + state2^2 + proxy^2 + state1*proxy + state2*proxy + state1*state2. {title:Examples} {p 4 8 2}{cmd:. opreg sales, exit(exit) state(stock) proxy(investment)} {cmd:free(material employment) cvars(sizedum2 sizedum3 time)} {p 4 8 2}{cmd:. opreg sales, exit(exit) state(stock) proxy(investment)} {cmd:free(material employment) cvars(sizedum2 sizedum3 time)} {cmd:vce(bootstrap, reps(200))} {p 4 4 2} In either case, {cmd:opreg} would form the following equations: {p 8 8 2} exit = stock^2 + investment^2 + stock*investment + sizedum2 + sizedum3 + time {p 4 4 2} and {p 8 8 2} sales = stock + stock^2 + investment^2 + stock*investment + sizedum2 + sizedum3 + time + material + employment {p 4 8 2} The investment variable enters the second stage only through the polynomial term. {title:Acknowledgment} {p 4 4 2} The polynomial expansion is modeled on the subroutine {cmd:lp_srch} of the command {cmd:levpet} by J. Levinsohn, A. Petrin, and B. Poi. {title:Reference} {p 4 8 2} Olley, G. S., and A. Pakes. 1996. The dynamics of productivity in the telecommunications equipment industry. {it:Econometrica} 64: 1263-1297. {title:Authors} {phang} Mahmut Yasar, Department of Economics, University of Texas at Arlington, Arlington, TX. {browse "mailto:myasar@uta.edu":myasar@uta.edu}. {phang} Rafal Raciborski, Department of Political Science, Emory University, Atlanta, GA. {phang} Brian Poi, StataCorp, College Station, TX. {title:Also see} {psee} Article: {it:Stata Journal}, volume 8, number 2: {browse "http://www.stata-journal.com/article.html?article=st0145":st0145} {p_end}