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THE ESTIMATION OF PLUTONIUM CONCENTRATIONS IN SOIL
Authors:Keith Wise     Paul  Kabaila
Affiliation:Australian Radiation Laboratory and La Trobe University, Victoria, Australia
Abstract:In this paper we examine the consequences, for statistical analysis and interpretation, of the particulate nature of radioactive contamination of a nuclear weapons test site. We propose a probabilistic model which incorporates the particulate nature of the contamination and which is simple enough to be statistically fitted to the data. Parameter estimation involves the reconciliation and combination of measurements of (a) 59.5 ke V gamma rays from americium-241, a decay product of plutonium-241, using a portable medium resolution NaI detector, on a regular survey grid at a test site and (b) 59.5 ke V radiation from soil samples obtained at grid points. The implications of the model for measurement of levels of contamination are considered.
Keywords:Maximum likelihoody    estimation    Laplace transform    inverse Gaussian distribution
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