Monotone stopping rules forstochastic processes in a semimartingale representation with applications

Optimization ◽  
1989 ◽  
Vol 20 (6) ◽  
pp. 837-852 ◽  
Author(s):  
U Jensen
2018 ◽  
Author(s):  
Keith L. Dougherty ◽  
Alice Kisaalita ◽  
Jordan McKissick ◽  
Evan Katz

2021 ◽  
pp. 096228022110130
Author(s):  
Wei Wei ◽  
Denise Esserman ◽  
Michael Kane ◽  
Daniel Zelterman

Adaptive designs are gaining popularity in early phase clinical trials because they enable investigators to change the course of a study in response to accumulating data. We propose a novel design to simultaneously monitor several endpoints. These include efficacy, futility, toxicity and other outcomes in early phase, single-arm studies. We construct a recursive relationship to compute the exact probabilities of stopping for any combination of endpoints without the need for simulation, given pre-specified decision rules. The proposed design is flexible in the number and timing of interim analyses. A R Shiny app with user-friendly web interface has been created to facilitate the implementation of the proposed design.


1974 ◽  
Vol 11 (02) ◽  
pp. 281-293 ◽  
Author(s):  
Peter J. Cooke

This paper discusses general bounds for coverage probabilities and moments of stopping rules for sequential coverage problems in geometrical probability. An approach to the study of the asymptotic behaviour of these moments is also presented.


1983 ◽  
Vol 3 (3) ◽  
pp. 113-119 ◽  
Author(s):  
Dean H. Kropp ◽  
Robert C. Carlson ◽  
Sara L. Beckman

Biometrika ◽  
1993 ◽  
Vol 80 (1) ◽  
pp. 193-201 ◽  
Author(s):  
ANNE CHAO ◽  
MARK C. K. YANG
Keyword(s):  

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