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.Expand

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… Expand

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.Expand

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… Expand

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… Expand

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,… Expand

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… Expand