| Authors | Mehdi Shams |
|---|---|
| Conference Title | 9th Iranian Group Theory Conference |
| Holding Date of Conference | 2017 |
| Event Place | Kashan |
| Presented by | University of Kashan |
| Presentation | SPEECH |
| Conference Level | National Conferences |
| Keywords | equivariant function, G-space, sharply transitive group, maximal invariant statistic |
Abstract
In this paper, group actions are reviewed and are illustrated with examples of relevance for statistical applications. Equivariant functions can be useful for constructing a maximal invariant statistic. We discuss construction of maximal invariants based on a given equivariant function under some additional conditions. Also, we derive a maximal invariant statistic when the group contains a sharply transitive and a characteristic subgroup.