Abstract
We discuss an internal dosimetry problem, where measurements of plutonium in urine are used to calculate radiation doses. We have developed an algorithm using the MAXENT method. The method gives reasonable results, however the role of the entropy prior distribution is to effectively fit the urine data using intakes occurring close in time to each measured urine result, which is unrealistic. A better approximation for the actual prior is the log-normal distribution; however, with the log-normal distribution another calculational approach must be used. Instead of calculating the most probable values, we turn to calculating expectation values directly from the posterior probability, which is feasible for a small number of intakes.
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References
G. Miller and W. C. Inkret, “Bayesian maximum posterior probability method for interpreting urinalysis data,” Rad. Prot. Dosimetry, 1995. submitted.
H. J. Gale, “The lognormal distribution and some of its applications in the field of radiation protection,” Tech. Rep. AERE-R4736, Atomic Energy Research Establishment, 1965.
V. Rothschild and N. Logothetis, Probability Distributions. New York: John Wiley, 1986.
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© 1996 Springer Science+Business Media Dordrecht
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Miller, G., Inkret, W.C. (1996). Bayesian Methods for Interpreting Plutonium Urinalysis Data. In: Hanson, K.M., Silver, R.N. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5430-7_46
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DOI: https://doi.org/10.1007/978-94-011-5430-7_46
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6284-8
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