{smcl}
{* *! version 0.3  29 Oct 2019}{...}
{cmd:help mepi}
{hline}

{title:Title}

{phang}
{bf:mepi} {hline 2} Malmquist Energy Productivity Index in Stata 

{title:Syntax}

{p 8 21 2}
{cmd:mepi} ({it:{help varlist:energyvars}}) {it:{help varlist:otherinputvars}} {cmd:=} {it:{help varlist:outputvars}} {ifin} 
{cmd:,} [{it:options}]

{synoptset 28 tabbed}{...}
{synopthdr}
{synoptline}
{syntab:Main}
{synopt:{cmdab:dmu(varname)}}specifies names of DMUs. 

{synopt:{cmdab:seq:uential}}specifies sequential production technology.
{p_end}

{synopt:{cmdab:win:dow(#)}}specifies window production technology with # periods.
{p_end}

{synopt:{opt global}}specifies global production technology.
{p_end}

{synopt:{cmdab:fill:missing}}specifies filling TECCH with the ratio of D^{t}(t)/D^{t+1}(t) (or D^{t}(t+1)/D^{t+1}(t+1)) when TECCH is missing due to the infeasible problem of D^{t}(t+1) (or D^{t+1}(t)).
{p_end}

{synopt:{opt sav:ing(filename[,replace])}}specifies that the results be saved in {it:filename}.dta. 
{p_end}

{synopt:{opt maxiter(#)}}specifies the maximum number of iterations, which must be an integer greater than 0. The default value of maxiter is 16000.
{p_end}

{synopt:{opt tol(real)}}specifies the convergence-criterion tolerance, which must be greater than 0.  The default value of tol is 1e-8.
{p_end}

{synoptline}
{p2colreset}{p 4 6 2}
A panel variable and a time variable must be specified; use {helpb xtset}.


{title:Description}

{pstd}
{cmd:mepi} selects the input and output variables in the opened data set and estimate Malmquist Energy Productivity Index using Data Envelopment Analysis(DEA) frontier by options specified. Technical details can be found in Li et al. (2019)



{title:Examples}

{phang}{cmd:. use "https://raw.githubusercontent.com/kerrydu/mepi/master/exdata.dta"}

{phang}{cmd:. xtset dmu year}

{phang}{cmd:. mepi (E) K L= Y,  global}

{phang}{cmd:. mepi (E) K L= Y,  seq }

{phang}{cmd:. mepi (E) K L= Y, sav(mepi_result,replace)}

{title:Saved Results}

{psee}
Macro:

{psee}
{cmd: r(file)} the filename stores results of {cmd:mepi}.
{p_end}


{marker references}{...}
{title:References}
 
{phang}
Li J., Liu H., Du k. Does market-oriented reform increase energy rebound effect? Evidence from China’s regional development, China Economic Review, 2019，56，101304. 




{title:Author}

{psee}
Kerry Du

{psee}
Xiamen University

{psee}
Xiamen, China

{psee}
E-mail: kerrydu@xmu.edu.cn
{p_end}