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Determination of Number and Size of Spherical Particles from Extraction Replicas
Author(s) -
Likes J.
Publication year - 1981
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710230809
Subject(s) - estimator , log normal distribution , mathematics , statistics , extraction (chemistry) , u statistic , probability density function , rayleigh scattering , rayleigh distribution , space (punctuation) , statistical physics , efficiency , physics , chromatography , chemistry , computer science , optics , operating system
For spherical particles randomly dispersed in the space of a specimen the estimators of the parameters of the space structure from the measurements obtained from extraction replicas are given. First an arbitrary form of the probability density function f(x ) of the diameter X and then the generalized RAYLEIGH and lognormal distributions of X are considered. Unbiased estimators of the space parameters and of parameters of these distributions are found. The variances of these estimators are given and unbiased estimators of these variances are determined.