Extending the applicability of the RVT technique for the randomized radioactive decay chain model
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Title
Extending the applicability of the RVT technique for the randomized radioactive decay chain modelDate
2022-03-30Publisher
SpringerBibliographic citation
Calatayud, J., Jornet, M. Extending the applicability of the RVT technique for the randomized radioactive decay chain model. Eur. Phys. J. Plus 137, 405 (2022). https://doi.org/10.1140/epjp/s13360-022-02625-7Type
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Abstract
In this paper, we improve the existing analysis on the randomized radioactive decay chain model based on Bateman master equations, by Hussein and Selim (2020). For a decay chain of three species of radionuclides, the ... [+]
In this paper, we improve the existing analysis on the randomized radioactive decay chain model based on Bateman master equations, by Hussein and Selim (2020). For a decay chain of three species of radionuclides, the authors derived the probability density function for the concentrations, by using the random variable transformation technique. We extend this application to the general solution of Bateman equations. The density function is expressed as an expectation, which has important implications for parametric density estimation. This may improve the classical kernel estimation when the random dimensionality is not low. Numerical examples are included, where the decay parameters and the initial concentrations are assigned different probability distributions. [-]
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Eur. Phys. J. Plus, 137, 405 (2022).Funder Name
Universitat Jaume I
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Acció 3.2 del Pla de Promoció de la Investigació de la Universitat Jaume I per a l’any 2020
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
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