A gamma-moment approach to monotonic boundary estimation

Abdelaati Daouia, Stéphane Girard, and Armelle Guillou


The estimation of optimal support boundaries under the monotonicity constraint is relatively unexplored and still in full development. This article examines a new extreme-value based model which provides a valid alternative for complete envelopment frontier models that often suffer from lack of precision, and for purely stochastic ones that are known to be sensitive to model misspecification. We provide different motivating applications including the estimation of the minimal cost in production activity and the assessment of the reliability of nuclear reactors.


Cost function; Edge data; Extreme-value index; Free disposal hull; Moment frontier;

JEL codes

  • C13: Estimation: General
  • C14: Semiparametric and Nonparametric Methods: General
  • D20: General


Abdelaati Daouia, Stéphane Girard, and Armelle Guillou, A gamma-moment approach to monotonic boundaries estimation, TSE Working Paper, n. 13-411, May 2013.

See also

Published in

Journal of Econometrics, vol. 178, n. 2, February 2014, pp. 727–740