Comparing Sequential and Non-Sequential Tests

Adaptive and non-adaptive group sequential tests

Methods have been proposed to re-design a clinical trial at an interim stage in order to increase power. In order to preserve the type I error rate, methods for unplanned design-change have to be defined in terms of non-sufficient statistics and this calls into question their efficiency and the credibility of conclusions reached. We evaluate schemes for adaptive re-design, extending the theoret...

Sequential Methods and Their Applications

Sequential decisions with tests

We consider a principal-agent problem where the principal wishes to be endorsed by a sequence of agents, but cannot truthfully reveal type. In the standard "herding" model, the agents learn from each other’s decisions, which can lead to cascades on a given decision when later agents’ private information is swamped. We augment the standard model to allow the principal to subject herself to a tes...

Truncated sequential hypothesis tests

Any views or conclusions contained in this Memorandum should not be interpreted as representing the official opinion or policy of ARPA. DDC AVAILABILITY NOTICE Qualified requesters may obtain copies of this report from the Defense Documentation Center (DDC). 1700 MAIN Si ~SANTA MONICA • CAlifORNIA • • o. t t h-iii PREFACE In the operation of phased-array radars it is possible, in principle, to ...

Decentralized sequential detection with sensors performing sequential tests

A decentralized sequential detection problem is considered where a set of sensors making independent observations must decide which of the given two hypotheses is true. Decision errors are penalized through a common cost function, and each time step taken by the sensors as a team is assigned a positive cost. It is shown that optimal sensor decision functions can be found in the class of general...