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Statistics of Particle Size Data

Author

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  • N. R. J. Fieller
  • E. C. Flenley
  • W. Olbricht

Abstract

This paper identifies various statistical problems in the measurement and analysis of particle sizes. The log‐skew‐Laplace distribution is proposed as a simple but effective model for particle sizes which can be readily extended to handle more complex situations such as mixtures and the marrying of measurements of different aspects of size. The model is compared with other contenders, the log‐normal and log‐hyperbolic distributions, in the analysis of sand grain data from the Hebrides.

Suggested Citation

  • N. R. J. Fieller & E. C. Flenley & W. Olbricht, 1992. "Statistics of Particle Size Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 41(1), pages 127-146, March.
    • Handle: RePEc:bla:jorssc:v:41:y:1992:i:1:p:127-146
    DOI: 10.2307/2347623
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    Cited by:

    1. Rubio, F.J. & Steel, M.F.J., 2011. "Inference for grouped data with a truncated skew-Laplace distribution," Computational Statistics & Data Analysis, Elsevier, vol. 55(12), pages 3218-3231, December.
    2. Tomasz Kozubowski & Saralees Nadarajah, 2010. "Multitude of Laplace distributions," Statistical Papers, Springer, vol. 51(1), pages 127-148, January.
    3. Sáez, Antonio José & Prieto, Faustino & Sarabia, José María, 2012. "A two-tail version of the PPS distribution with application to current account balance data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5160-5171.

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