snqProfitImposeConvexity: Imposing Convexity on a SNQ Profit function

In micEconSNQP: Symmetric Normalized Quadratic Profit Function

Description

Imposing Convexity on a Symmetric Normalized Quadratic (SNQ) Profit function.

Usage

snqProfitImposeConvexity( estResult, rankReduction = 0,
   start = 10, optimMethod = "BFGS", control = list( maxit=5000 ),
   stErMethod = "none", nRep = 1000, verbose = 0 )

Arguments

estResult	object returned by snqProfitEst.
rankReduction	an integer specifying the reduction of the rank of the β matrix.
start	starting values of the triangular Cholesky matrix.
optimMethod	method to be used by optim.
control	list of control parameters passed to optim.
stErMethod	method to compute standard errors, either 'none', 'resample', 'jackknife' or 'coefSim' (see details).
nRep	number of replications to compute the standard errors if stErMethod is either 'resample' or 'coefSim'.
verbose	an integer idicating the verbose level.

Details

The procedure proposed by Koebel, Falk and Laisney (2000, 2003) is applied to impose convexity in prices on an estimated symmetric normalized quadratic (SNQ) profit function.
The standard errors of the restricted coefficients can be either calculated by bootstrap resampling ('resampling'), jackknife ('jacknife') or by simulating the distribution of the unrestricted coefficients using its variance covariance matrix ('coefSim').

Value

a list of class snqProfitImposeConvexity containing the same objects as an object of class snqProfitEst and additionally the objects:

mindist	object returned by optim.
sim	results of the simulation to obtain the standard errors of the estimated coefficients.

Author(s)

Arne Henningsen

References

Koebel, B., M. Falk and F. Laisney (2000), Imposing and Testing Curvature Conditions on a Box-Cox Cost Function. Discussion Paper No. 00-70, ZEW, Mannheim, https://madoc.bib.uni-mannheim.de/515/1/dp0070.pdf.

Koebel, B., M. Falk and F. Laisney (2003), Imposing and Testing Curvature Conditions on a Box-Cox Cost Function. Journal of Business and Economic Statistics, 21, p. 319-335.

See Also

snqProfitEst.

Examples

   data( germanFarms, package = "micEcon" )
   germanFarms$qOutput   <- germanFarms$vOutput / germanFarms$pOutput
   germanFarms$qVarInput <- -germanFarms$vVarInput / germanFarms$pVarInput
   germanFarms$qLabor    <- -germanFarms$qLabor
   priceNames <- c( "pOutput", "pVarInput", "pLabor" )
   quantNames <- c( "qOutput", "qVarInput", "qLabor" )
   estResult <- snqProfitEst( priceNames, quantNames, "land", data = germanFarms )
   estResult  # Note: it is NOT convex in netput prices
   estResultConvex <- snqProfitImposeConvexity( estResult )
   estResultConvex  # now it is convex

micEconSNQP documentation built on Feb. 11, 2020, 3 p.m.