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On localization of source by hidden Gaussian processes with small noise
Annals of the Institute of Statistical Mathematics ( IF 1 ) Pub Date : 2020-09-09 , DOI: 10.1007/s10463-020-00763-2
Yury A. Kutoyants

We consider the problem of identification of the position of some source by observations of K detectors receiving signals from this source. The time of arriving of the signal to the k-th detector depends of the distance between this detector and the source. The signals are observed in the presence of small Gaussian noise. The properties of the MLE and Bayesian estimators are studied in the asymptotic of small noise.

中文翻译:

小噪声隐高斯过程的源定位

我们考虑通过观察接收来自该源的信号的 K 个探测器来识别某个源的位置的问题。信号到达第 k 个检测器的时间取决于该检测器与源之间的距离。在存在小高斯噪声的情况下观察到信号。在小噪声的渐近性中研究了 MLE 和贝叶斯估计量的性质。
更新日期:2020-09-09
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