Empty confidence sets for epidemics, branching processes and Brownian motion
流行病、分枝过程与布朗运动中的空置信集
This paper treats some examples where likelihood‐based inference for certain model parameters may produce empty confidence sets. The first example concerns epidemics, and the parameter of interest is the basic reproduction number R0, which is to be estimated from the final size of an epidemic in a finite population. The second example treats estimation of the mean of the offspring distribution in a branching process, based on observing the total progeny, i.e. the total…