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- W2008603441 abstract "The properties of a coefficient of correlation rn, defined in a previous paper, are examined theoretically and experimentally to obtain a description of variance—sample size relationships. Considering mixtures as composed of unit samples of an arbitrary size, coefficients of correlation, r(k), describing the amount of correlation between the composition of unit samples of lag k in the mixture, are defined. An equation relating the variance between samples and the sample size is proposed. The variance is expressed as a function of the variance between unit samples, the size of the samples, the shape coefficients describing the shape of the samples and the coefficients r(k). The mean value of the coefficients r(k) weighted with the shape coefficients is rn. The description is examined in experiments where sample sizes and shapes are well controlled. Correlograms of the mixtures are given. The underlying frequency distributions of r(k) are shown to be of the leptokurtic type with mode zero and standard deviation approximately one. Direct sampling of the mixtures is shown to give results consistent with the theoretical description." @default.
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- W2008603441 date "1973-09-01" @default.
- W2008603441 modified "2023-09-26" @default.
- W2008603441 title "Statistical properties of random and non-random mixtures of dry solids. Part II. Variance-sample size relationships derived by autocorrelation theories" @default.
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- W2008603441 doi "https://doi.org/10.1016/0032-5910(73)80077-4" @default.
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