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Abstract

In point counting, the selection of a random subset from the counting grid permits random errors to be described by a simple mixed binomial model. The model is independent of any grain size considerations, and general formulas are presented giving upper bounds to the number of sections required.

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References

  • Bayly, M. B., 1965, The sampling error in modal analysis: Amer. Mineral., v. 50, no. 1–2, p. 196–211.

    Google Scholar 

  • Bellhouse, D. R., 1981, Area estimation by point-counting techniques: Biometrics, v. 37, no. 2, p. 303–312.

    Google Scholar 

  • Chayes, F., 1956, Petrographic modal analysis: John Wiley & Sons, New York, 113 p.

    Google Scholar 

  • Clarke, K. R., 1981, Statistical techniques in stereology: Commun. Stat. Theo. Meth., v. A10, no. 15, p. 1459–1478.

    Google Scholar 

  • Jacobson, H. I., 1969, The maximum variance of restricted unimodal distributions: Ann. Math. Stat., v. 40, no. 5, p. 1746–1752.

    Google Scholar 

  • Johnson, N. L. and Kotz, S., 1969, Discrete distributions: John Wiley & Sons, New York, 328 p.

    Google Scholar 

  • Neilson, M. J. and Brockman, G. F., 1977, The error associated with point-counting: Amer. Mineral., v. 62, no. 11–12, p. 1238–1244.

    Google Scholar 

  • Robbins, H., 1948, The asymptotic distribution of the sum of a random number of random variables: Bull. Amer. Math. Soc., v. 54, no. 6, p. 1151–1161.

    Google Scholar 

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Bardsley, W.E. Random error in point counting. Mathematical Geology 15, 469–475 (1983). https://doi.org/10.1007/BF01031293

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  • DOI: https://doi.org/10.1007/BF01031293

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