The `MishraCES`

data set contains artificial production data.
It has 50 observations (e.g. firms, sectors, or countries).

1 |

This data frame contains the following columns:

- No
Firm number.

- Y
Output quantity.

- X1
Quantity of first input.

- X2
Quantity of second input.

- X3
Quantity of third input.

- X4
Quantity of fouth input.

Mishra, SK (2006): A Note on Numerical Estimation of Sato's Two-Level CES Production Function MPRA Working Paper No. 1019, http://mpra.ub.uni-muenchen.de/1019/.

1 2 3 4 5 6 7 8 9 10 11 12 13 | ```
# load the data set
data( "MishraCES" )
# show mean values of all variables
colMeans( MishraCES )
# re-calculate the endogenous variable (see Mishra 2006)
# coefficients of the nested CES function with 4 inputs
b <- c( "gamma" = 200 * 0.5^(1/0.6), "delta_1" = 0.6, "delta_2" = 0.3,
"delta" = 0.5, "rho_1" = 0.5, "rho_2" = -0.17, "rho" = 0.6 )
MishraCES$Y2 <- cesCalc( xNames = c( "X1", "X2", "X3", "X4" ),
data = MishraCES, coef = b, nested = TRUE )
all.equal( MishraCES$Y, MishraCES$Y2 )
``` |

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