Theory and Practice of Risk Assessment by Christos P. Kitsos Teresa A. Oliveira Alexandros Rigas & Sneh Gulati

Author:Christos P. Kitsos, Teresa A. Oliveira, Alexandros Rigas & Sneh Gulati
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Case (b): , . For the two roots , , we have , and we suppose , see Fig. 3. The fact that is equivalent to , while the minimum value of the MD function is .

Proposition 1

The order for the roots and the value which provides the minimum is true under the relation

(5)

Proof

The order of the roots is equivalent to the set of relations:

(6)

The first is valid, as we have assumed . For the imposed second relation from (6) we have , which holds. As both the roots are positive , then the product and therefore . The third relation , in (6) is true already and equivalent to . Therefore we get .

We can then identify the point of intersection , as before. Therefore under (5) and we evaluate as in (3) and the Benefit Area can be evaluated as in (4).

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.