Table 1 A theory of property-oriented rejection-based test
Key point | Description |
|---|---|
Property sharing condition | A necessary condition for false alarms to disturb the judgment on a given statistics is sharing with the statistics’ property that we consider |
Alarm scale-up nature | If an alarm vector \(S^{-0.5}(\mathbf{s}-{\tilde{\mathbf{s}}})\) falls within a rejection domain, \(\gamma S^{-0.5}(\mathbf{s}-{\tilde{\mathbf{s}}})\) will also fall within the rejection domain for any \(\gamma >1\) |
Least complexity principle | A rejection domain is modelled by a smallest number of parameters that can be well determined from given samples |