Stochastic Non-Parametric Frontier Analysis

Subject Areas : History and biography

M. Rahmani ¹ , Gh. Jahanshahloo ²

1 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran. Iran

Received: 2013-01-01 Accepted : 2013-01-01 Published : 2013-03-01

Keywords: stochastic frontier, Nonparametric frontier, Local maximum likelihood, DEA, FDH, Directional distance function,

Abstract :

In this paper we develop an approach that synthesizes the best features of the two main methods in the estimation of production efficiency. Specifically, our approach first allows for statistical noise, similar to Stochastic frontier analysis, and second, it allows modeling multiple-inputs-multiple-outputs technologies without imposing parametric assumptions on production relationship, similar to what is done in non-parametric methods. The methodology is based on the theory of local maximum likelihood estimation and extends recent works of Kumbhakar et al. We will use local-spherical coordinate system to transform multi-input multi-output data to more exible system which we can use in our approach.We also illustrate the performance of our approach with simulated example.

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