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4407561 and 5003158 of network, consumers and energy delivered in 2008 by the
operational cost of 418,981. Analogously for 2009.
The progressive ef
ciency score for 2009 of 0.2570 in Table
7.2
is the com-
plement to one of the product of the complements to one of the probabilities of
maximizing the outputs in 2009, given by 0.1011, 0.1617 and 0.0141. In fact,
0.02570 = 1
(1
0.1011)*(1
0.1617)*(1
0.0.141).
−
−
−
−
On the other hand, the conservative ef
ciency score of 0.9882 is the result of the
product (1
0.0053).
Analogously, for 2008, the progressive and conservative scores are derived,
respectively, from the probabilities of maximization, of 0.1373, 0.1629 and 0.0143
and of minimization, of 0.0028, 0.0037 and 0.0068.
The Malmquist progressive score is the square root of the product of two ratios.
The
0.0030)*(1
0.0035)*(1
−
−
−
rst
ratio,
relative to the frontier of 2008,
is between the product
(1
0.0147) derived from the probabilities of the
entries 2009 reaching the frontier of 2008 and the product of the probabilities of not
maximizing in 2008, (1
0.1423)*(1
0.1635)*(1
−
−
−
0.0143).
The second ratio, relative to the frontier of 2009,
−
0.1373)*(1
−
0.1629)*(1
−
is between the product
0.0.141) and the product of the probabilities of
the entries of 2008 not reaching the frontier of 2009, given by (1
(1
−
0.1011)*(1
−
0.1617)*(1
−
−
0.0857)*
(1
0.0137).
Analogously, the Malmquist conservative scores are obtained applying the
probabilities of minimization.
−
0.1610)*(1
−
References
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