Particle Sizes from Sectional Data

Authors

  • Zbyněk Pawlas,

    Corresponding author
    1. Department of Probability and Mathematical Statistics, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Prague, Czech Republic
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  • Jens R. Nyengaard,

    Corresponding author
    1. Stereology and EM Research Laboratory and the MIND Center, University of Aarhus, Ole Worms Allé 185, DK-8000 Aarhus C, Denmark
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  • Eva B. Vedel Jensen

    Corresponding author
    1. T.N. Thiele Centre for Applied Mathematics in Natural Science, Department of Mathematical Sciences, University of Aarhus, Ny Munkegade, DK-8000 Aarhus C, Denmark
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email: pawlas@karlin.mff.cuni.cz

e-mail: nyengaard@ki.au.dk

e-mail: eva@imf.au.dk

Abstract

Summary We propose a new statistical method for obtaining information about particle size distributions from sectional data without specific assumptions about particle shape. The method utilizes recent advances in local stereology. We show how to estimate separately from sectional data the variance due to the local stereological estimation procedure and the variance due to the variability of particle sizes in the population. Methods for judging the difference between the distribution of estimated particle sizes and the distribution of true particle sizes are also provided.

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