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Cancer phase I clinical trials: efficient dose escalation with overdose control.
TLDR
An adaptive dose escalation scheme for use in cancer phase I clinical trials that makes use of all the information available at the time of each dose assignment, and directly addresses the ethical need to control the probability of overdosing is described.
ESTIMATING THE CURRENT MEAN OF A NORMAL DISTRIBUTION WHICH IS SUBJECTED TO CHANGES IN TIME
Abstract : A tracking problem is considered. Observations are taken on the successive positions of an object traveling on a path, and it is desired to estimate its current position. The objective is
Prediction Theory for Finite Populations
TLDR
This monograph is that of superpopulation models in which values of the population elements are considered as random variables having joint distributions and the emphasis is on the analysis of data rather than on the design of samples.
Applications of Catastrophe Theory for Statistical Modeling in the Biosciences
Abstract Although catastrophe theory has been applied with mixed success to many problems in the biosciences, very few of these applications have used any form of statistical modeling. We present
Telegraph processes with random velocities
We study a one-dimensional telegraph process (M t ) t≥0 describing the position of a particle moving at constant speed between Poisson times at which new velocities are chosen randomly. The exact
The first rendezvous time of Brownian motion and compound Poisson-type processes
The 'rendezvous time' of two stochastic processes is the first time at which they cross or hit each other. We consider such times for a Brownian motion with drift, starting at some positive level,
The theory of statistical inference
Statistical inference is about figuring out what data are telling us about the world. We gather data related to some question of interest and construct a model of how the data could have been
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