On comparative probabilities for normal confidence intervals by pearson's Types III and VII, and the Edgeworth series models for biotite data |
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Authors: | S K Banerjee and E L Zodrow |
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Institution: | (1) Department of Mathematics, University College of Cape Breton, BIP 6L2 Sydney, Nova Scotia, Canada;(2) Department of Geology, University College of Cape Breton, BIP 6L2 Sydney, Nova Scotia, Canada |
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Abstract: | Biotite crystals were counted in standard thin sections which originated from the diamond drill core of the mafic norite formation at Strathcona mine, Sudbury Nickel Irruptive. Pearson's method of moments is suitable to fit Types III and VII to the biotite data and its log
10
transformation values, as the number of samples (thin sections)is large (351).Based on the two models and the Edgeworth series (utilizing the log
10
data)probability values p,that biotite occurrences lie in the interval mean ± Z standard deviations is derived. Results are compared with the usual normal probability values pZ
corresponding to Zand it is shown that the Edgeworth series generated the largest pvalues for intervals when pZ
values are large; for intermediate or lower pZ
s. Types VII and III models produced larger ps, relative to the Normal and the Edgeworth series. |
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Keywords: | igneous biotite data moments skewness and kurtosis Pearsonian III and VII curves Edgeworth series lognormal transformation incomplete gamma and beta integrals confidence intervals |
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