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  • Articles  (3)
  • geochemistry  (3)
  • Springer  (3)
  • 2020-2020
  • 1970-1974  (3)
  • 1945-1949
  • 1971  (3)
  • 1949
  • Mathematics  (3)
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  • Articles  (3)
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  • Springer  (3)
Years
  • 2020-2020
  • 1970-1974  (3)
  • 1945-1949
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 3 (1971), S. 51-60 
    ISSN: 1573-8868
    Keywords: entropy ; principal components analysis ; geochemistry ; mineralogy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Classification of sandstones, greywackes, pelites, limestones, dolomites, and acid-igneous and basicigneous rocks, using a literature sample of 183 post-1920 analyses for the 11 major oxides has achieved an 80-percent success rate. The method is based on nonparametric estimation of a probability density function for each category to be classified, using the Bayes decision rule. The method is suitable for use with small training sets and gives much improved results over a linear discriminant function. Classification following data compression using principal components also has given satisfactory recognition rates.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 3 (1971), S. 95-121 
    ISSN: 1573-8868
    Keywords: data processing ; mapping plotting ; statistics ; general geology ; geochemistry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Afortran iv computer program for grey-level mapping of spatial data using a CDC 6600 is described. The program produces maps for irregularly distributed data in as many as 10 intensity levels which are displayed in grey tones by a lineprinter. Unlimited map size and unrestricted data input provide for as many as 5000 data points per 13-in.-wide strip of map. The program is easily modified for other installations. Examples are given of geochemical analyses of stream sediments in Northern Ireland.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 3 (1971), S. 135-155 
    ISSN: 1573-8868
    Keywords: data processing ; plotting ; statistics ; geochemistry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Broken straight lines on probability paper have been proposed as representing the cumulative probability distributions of SiO2, Na, and Cl in certain plutons. This corresponds to pairs of complementarily truncated normal or lognormal distributions. It is shown that alternative representations, such as pairs of overlapping complete normal or lognormal distributions, yield fits equally acceptable statistically if the sample selection is random. The method also yields a good description of distributions described as “complex.” Computer methods of optimizing the free parameters are used; significance testing is discussed in some detail. It is stressed that although significance testing is helpful, it can neither relieve the geochemist of the burden nor take from him the privilege of being independent, and forming his opinion on the total evidence.
    Type of Medium: Electronic Resource
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