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A stochastic process approach to multilayer neutron detectors

机译:多层中子探测器的随机工艺方法

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摘要

The sparsity of the isotope Helium-3, ongoing since 2009, has initiated a newgeneration of neutron detectors. One particularly promising development linefor detectors is the multilayer gaseous detector. In this paper, a stochasticprocess approach is used to determine the neutron's energy from the additionaldata afforded by the multilayer nature of these novel detectors. The data from a multi-layer detector consists of counts of the number ofabsorbed neutrons along the sequence of the detector's layers, in which theneutron absorption probability is unknown. We study the Maximum Likelihoodestimator for the intensity and absorption probability, show its consistencyand asymptotic normality, as the experiment time (or the number of incomingneutrons) goes to infinity. We combine these results with known results on therelation between the absorption probability and the wavelength to derive anestimator of the wavelength and to show consistency and asymptotic normalityfor the estimator.
机译:自2009年以来正在进行同位素氦-3的稀疏性已经开始了中子探测器的新建。一个特别有前途的开发线是多层气体检测器。在本文中,随机过程方法用于从这些新探测器的多层性质提供的附加达卡中的中子能量。来自多层检测器的数据包括沿着探测器层的序列的混合中子数的计数,其中观测概率未知。我们研究了强度和吸收概率的最大似然主义者,表现出其一致性和渐近常态,因为实验时间(或收入的数量)进入无穷大。我们将这些结果与在吸收概率和波长之间产生的已知结果相结合,以导出波长的麻醉剂,并显示估计器的一致性和渐近常规。

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