Scholarlink

<p>Two problems of Poissonian source localization by <i>K</i> detectors on the plane are considered. It is supposed that the intensities of the received processes are decreasing functions of the distances between the source and the detectors. In the first problem the source is fixed at some point on the plane, and in the second problem it is supposed that the source is moving along some line. In both problems the properties of the least squares estimators, MLE, Bayesian estimators, One-step MLE and One-step MLE-processes are described. The regularity conditions are proposed which allow to prove the consistency and the asymptotic normality of all the estimators. Note that One-step MLE-processes allows <i>on-line</i> tracking of the moving source.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Localization of moving poisson source on the plane

  • 期刊论文

  • 发表日期：

    2025年6月16日

查看全文
  • O. V. Chernoyarov,
  • S. Dachian,
  • Y. A. Kutoyants

摘要

Two problems of Poissonian source localization by K detectors on the plane are considered. It is supposed that the intensities of the received processes are decreasing functions of the distances between the source and the detectors. In the first problem the source is fixed at some point on the plane, and in the second problem it is supposed that the source is moving along some line. In both problems the properties of the least squares estimators, MLE, Bayesian estimators, One-step MLE and One-step MLE-processes are described. The regularity conditions are proposed which allow to prove the consistency and the asymptotic normality of all the estimators. Note that One-step MLE-processes allows on-line tracking of the moving source.