论文标题
飞机上两个放射源的定位
Localization of two radioactive sources on the plane
论文作者
论文摘要
k检测器被认为是在两个放射源的平面上定位的问题。每个检测器都记录了实现不均匀的泊松过程的实现，并且该过程的强度函数是从源到达的信号和已知强度的恒定泊松噪声的总和。已知两种来源的排放开始时间，主要问题是来源的位置的估计。 MLE和BAYESSIAN估计器的性质在信号前部不同规律性的三种情况下的大信号的渐近学中进行了描述：光滑，尖端类型和变更点类型。
It is considered the problem of localization on the plane of two radioactive sources by K detectors. Each detector records a realization of inhomogeneous Poisson process and the intensity function of this process is a sum of a signal arriving from the sources and the constant Poisson noise of known intensity. The time of the beginning of emissions of two sources is known and the main problem is the estimation of the position of the sources. The properties of the MLE and Bayessian estimators are described in the asymptotics of large signals in three situations of different regularities of the fronts of the signals: smooth, cusp-type and change-point type.
