Stochastic analysis of measurements of the fiveball Bonner spectrometer
Abstract
The data obtained in the testing of an activation type ball type neutron spectrometer consisting of five polyethylene balls with a diameter of 90 mm to 245 mm are analyzed. Indium was used as the activated material. The results of mathematical processing of measurement data of radioactivity induced in India are presented. A model based on minimization of the quality functional and nonlinear regression equations is constructed. The practice of minimizing functions with the help of programs based on the principle of gradient descent shows their frequent hanging or avovts arising when an arbitrary choice of the initial values of the variable parameters. Using the constructed stochastic recurrent algorithm, the problem of reconstructing the neutron spectrum is solved. For the four-parameter model of the Maxwell distribution type used, estimates of its parameters are obtained, as well as estimates of errors in the estimates of the parameters. The experience gained in the work can be used to optimize the design of a neutron spectrometer.
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