Abstract
SUMMARY In the plane, a Poisson field of discs with random radii is considered. A method of estimating the Poisson intensity and the expectation and variance of the radii is proposed, and then investigated in detail for normally distributed radii. Foils consisting of a fission material and an isolation material are exposed to neutron radiation. Tracks caused by fission products in the isolation material are enlarged by a chemical etching process and made observable under an optical microscope as dark spots on the surface of the foil. Up to a clumping effect, the number of spots is proportional to the measured neutron flux, the shape and size of the spots depending mainly on the process of etching. In what follows, a mathematical model of the observed pattern of spots is given and a method for its statistical analysis proposed. Discs of random size are placed at random on the plane. More precisely, we suppose that the disc centres are distributed in a Poisson field of a constant intensity A and that the disc radii r are independent, identically distributed according to a probability density f(r)
Published Version
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