| Name: | Description: | Size: | Format: | |
|---|---|---|---|---|
| 702.39 KB | Adobe PDF |
Advisor(s)
Abstract(s)
Partial frontiers have been recently developed in order to overcome several
drawbacks of the traditional nonparametric techniques. These robust frontier (order-a
and order-m) methods avoid the curse of dimensionality, are less sensitive to outliers
and extreme data and may include direct environmental information in the model.
Nonetheless, the disadvantages of these partial frontier-based methods according to
the formulation proposed in the literature are that they do not allow weight restrictions
or non-variable returns to scale technology. The procedure here proposed is an
extension of the traditional order-a method, allowing the estimation of an empirical
convex a-level, assuming also some additional constraints, such as the virtual weight
restrictions and non-variable returns to scale. In the particular case of nonconvex
attainable sets, unrestricted formulations and variable returns to scale assumption, the
proposed procedure returns the same results as the standard order-a
Description
Keywords
Data envelopment analysis, Order-a, Free disposal hull, Weight restrictions, Returns to scale, Convexity
Pedagogical Context
Citation
Ferreira, D.C., Marques, R.C. A step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scale. Oper Res Int J 20, 1011–1046 (2020). https://doi.org/10.1007/s12351-017-0370-1