Summary
The distribution of particles formed in a physical breakage process is usually analysed by mass rather than frequency. In the literature the exact, as well as the asymptotic mass-size distribution of the remaining n-th generation particle after n-1 random fractures of an initial particle, is well developed. The more important problem of considering a random variable denoting the mass-size distribution of all particles formed in a breakage process is not treated sufficiently. A model for a breakage process discussed in this paper leads to an application of sums of log-gamma distributions. The application of the theory is illustrated in a quality control experiment.
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© 1975 D. Reidel Publishing Company, Dordrecht
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Schultz, D.M. (1975). Mass-Size Distributions: A Review and a Proposed New Model. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1845-6_20
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DOI: https://doi.org/10.1007/978-94-010-1845-6_20
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