translogCheckCurvature: Curvature of a Translog Function

In micEcon: Microeconomic Analysis and Modelling

Description

Check curvature of a translog function.

Usage

translogCheckCurvature( xNames, data, coef, convexity = TRUE,
   quasi = FALSE, dataLogged = FALSE, ... )

## S3 method for class 'translogCheckCurvature'
print( x, ... )

Arguments

xNames	a vector of strings containing the names of the independent variables.
data	dataframe containing the data.
coef	vector containing all coefficients.
convexity	logical. Check whether the function is (quasi)convex (default, TRUE) or (quasi)concave (FALSE).
quasi	logical. Check whether the function is quasiconvex/quasiconcave (TRUE) or convex/concave (default, FALSE).
dataLogged	logical. Are the values in data already logged?
x	an object returned by translogCheckCurvature.
...	arguments passed from translogCheckCurvature to semidefiniteness (if argument quasi is FALSE), quasiconvexity (if arguments convexity and quasi are both TRUE), or quasiconcavity (if argument convexity is FALSE and quasi is TRUE). Further arguments to print.translogCheckCurvature are currently ignored.

Value

translogCheckCurvature returns a list of class translogCheckCurvature containing following objects:

obs	a vector indicating whether the condition for the specified curvature is fulfilled at each observation.
convexity	argument convexity.
quasi	argument quasi.

Author(s)

Arne Henningsen

See Also

translogEst and translogCheckMono

Examples

   data( germanFarms )
   # output quantity:
   germanFarms$qOutput <- germanFarms$vOutput / germanFarms$pOutput
   # quantity of variable inputs
   germanFarms$qVarInput <- germanFarms$vVarInput / germanFarms$pVarInput
   # a time trend to account for technical progress:
   germanFarms$time <- c(1:20)

   # estimate a translog production function
   estResult <- translogEst( "qOutput", c( "qLabor", "land", "qVarInput", "time" ),
      germanFarms )

   # check whether the production function is quasiconcave
   translogCheckCurvature( c( "qLabor", "land", "qVarInput", "time" ),
      germanFarms, coef( estResult ), convexity = FALSE, quasi = TRUE )

Example output

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This translog function is quasiconcave at 1 out of 20 observations (5%)

micEcon documentation built on Jan. 7, 2021, 3:01 p.m.