  The sparsity of the isotope Helium-3, ongoing since 2009, has initiated a new
generation of neutron detectors. One particularly promising development line
for detectors is the multilayer gaseous detector. In this paper, a stochastic
process approach is used to determine the neutron's energy from the additional
data afforded by the multilayer nature of these novel detectors.
  The data from a multi-layer detector consists of counts of the number of
absorbed neutrons along the sequence of the detector's layers, in which the
neutron absorption probability is unknown. We study the Maximum Likelihood
estimator for the intensity and absorption probability, show its consistency
and asymptotic normality, as the experiment time (or the number of incoming
neutrons) goes to infinity. We combine these results with known results on the
relation between the absorption probability and the wavelength to derive an
estimator of the wavelength and to show consistency and asymptotic normality
for the estimator.
