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  • Frontier - possible to have same variable in frontier and mean of truncated normal inefficiency?

    I am estimating a production function as stochastic frontier model with technical inefficiencies modelled as a truncated normal distribution using the frontier command.

    Is it sensible to model the mean of the tnormal dist with co-variate X, if X is also an input into the frontier? An example of stata code would be

    frontier X, distribution(tnormal) cm(X)

    There is a concern that error term depends on X which results in the it been correlated with another co-variate (X) in the frontier model?

    This would be akin to stating input X increases the production frontier but for higher values of X inefficiency increases.

    Many thanks

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