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It is interesting to remark that although SCALE is motivated by geometric programming, the algorithm itself can be easily derived without geometric programming, as shown in this paper.
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These include the fact that there are frequently more than two methods under consideration, all information is analysed simultaneously (giving greater power, and increased statistical robustness and efficiency), marginal distributions of the parameters of interest are easily derived without asymptotic approximation, and the probabilistic approach more closely resembles to how researchers think.
Then, can be easily derived as (10).
Now, (3.16) can be easily derived by using (2.3).
The following results can be easily derived from Theorem 2.3.
All other parameters of Sect. 3 can be easily derived.
These current controllers can be easily derived from (16).
The following result can be easily derived from Lemma 1.4.
The following corollary can be easily derived from Theorem 30.
The assertion (2.1) of Theorem 1 can be easily derived from (2.4).
where the closed-form solutions can be easily derived by using standard geometry.
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