Abstract
For the statistical foundation of the proposed technique I will use DGP 3 from section 1 of Chapter 2. Furthermore I employ the usual DE A assumption of a convex production technology satisfying strong disposability. This technology will be primarily described by Farrell output-efficient boundaries Y F(x) depending on input vector x ∊ ℝ R+ . An output-ratio vector m = {m 1...m s } defined as m s = y s /Σ k=1...s y k for s = 1... S together with x then uniquely determines a frontier output vector yF(x,m) = {y F1 (x,m),...,y F S (x,m)} from YF(x). No closed form functional representation of yF(x,m) is required, so in particular a DEA type of frontier description, as derived in the previous section as ̂yF(·) resp. ̂y F BC (·) suffices the purpose.
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© 2002 Springer Science+Business Media Dordrecht
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Gstach, D. (2002). Data Generating Process with Output Specific Efficiencies. In: Estimating Output-Specific Efficiencies. Applied Optimization, vol 61. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0007-0_5
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DOI: https://doi.org/10.1007/978-1-4615-0007-0_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4883-2
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