Localization of two radioactive sources on the plane

IF 0.7 Q3 STATISTICS & PROBABILITY

Statistical Inference for Stochastic Processes Pub Date : 2023-09-19 DOI:10.1007/s11203-023-09297-9

O Chernoyarov, S Dachian, C Farinetto, Yu Kutoyants

引用次数: 0

Abstract

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.

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平面上两个放射源的定位

研究了K探测器在两个放射源平面上的定位问题。每个探测器记录了一个非齐次泊松过程的实现，该过程的强度函数是来自源的信号与已知强度的恒定泊松噪声的和。两个源开始排放的时间是已知的，主要问题是对源位置的估计。讨论了大信号在平滑型、尖峰型和变点型三种不同信号前沿规律情况下的渐近性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Statistical Inference for Stochastic Processes STATISTICS & PROBABILITY-

CiteScore

1.30

自引率

12.50%

发文量

期刊介绍： Statistical Inference for Stochastic Processes aims to publish high quality papers devoted to inference in either discrete or continuous time stochastic processes. This includes topics such as ARMA processes, GARCH processes and other time series models, as well as diffusion type processes, point processes, random fields and Markov processes. Papers related to spatial models and empirical processes are also within the scope of the journal. Special focus is placed on methodological advances and sound theoretical results, but submissions that expose potential applications of the developed theory to finance, insurance, economics, biology, physics and engineering are very much encouraged. Officially cited as: Stat Inference Stoch Process