Abstract
In this paper some new properties and computational tools for finding KL-optimum designs are provided. KL-optimality is a general criterion useful to select the best experimental conditions to discriminate between statistical models. A KL-optimum design is obtained from a minimax optimization problem, which is defined on a infinite-dimensional space. In particular, continuity of the KL-optimality criterion is proved under mild conditions; as a consequence, the first-order algorithm converges to the set of KL-optimum designs for a large class of models. It is also shown that KL-optimum designs are invariant to any scale-position transformation. Some examples are given and discussed, together with some practical implications for numerical computation purposes.
Lingua originale | Inglese |
---|---|
pagine (da-a) | 107-117 |
Numero di pagine | 11 |
Rivista | Statistics and Computing |
Volume | 26 |
Numero di pubblicazione | 1-2 |
DOI | |
Stato di pubblicazione | Pubblicato - 1 gen 2016 |