6533b871fe1ef96bd12d0e37

RESEARCH PRODUCT

Flexible Estimation of Heteroskedastic Stochastic Frontier Models via Two-step Iterative Nonlinear Least Squares

Giancarlo FerraraFederico Belotti

subject

Constraint (information theory)HeteroscedasticityStochastic frontier analysisComputer scienceNon-linear least squaresMonte Carlo methodApplied mathematicsFraction (mathematics)Monotonic functionSample (statistics)

description

Despite its importance, the monotonicity condition is typically overlooked in stochastic frontier analysis. This article illustrates a straightforward and useful method for the estimation of semiparametric stochastic frontier models imposing such constraint and incorporating exogenous inefficiency effects exploiting the scaling property. An iterative estimation algorithm based on nonlinear least squares is developed and the behavior of the proposed procedure is investigated through a set of Monte Carlo experiments comparing its finite sample properties with those of available alternatives. The simulation results highlight very good performance of the new algorithm which outperforms the competitors in small samples and in presence of small signal-to-noise ratios. Our results also show that the fraction of observations for which monotonicity naturally holds is generally quite small if this condition is not imposed. An application based on FADN agricultural data illustrates the usefulness of the proposed algorithm.

https://doi.org/10.2139/ssrn.3414192