A Critical Approach to Probability Laws in Geochemistry
Probability laws in geochemistry have been a major issue of concern over the last decades. The lognormal on the positive real line or the logistic normal on the simplex are two classical laws used to model geochemical data sets due to their association with a relative measure of difference. This fact is not fully exploited in the classical approach, when viewing both the positive real line and the simplex as subsets of real space with the induced geometry. But it can be taken into account considering them as real linear vector spaces with their own structure. It implies using a particular geometry and measure in such a way that working in coordinates with respect to an orthonormal basis associates mentioned laws with a normal distribution on the coordinates. In this contribution both approaches are compared, and real data is used to illustrate similarities and differences.
G. Mateu-Figueras V. Pawlowsky-Glahn
Universitat de Girona, DeparatmentdInformàtica I Matemàtica Aplicada, Campus Montilivi Edifici P-IV, E-17071 Girona, Spain
国际会议
The 12th Conference of the International Association for Mathematical Geology(第12届国际数学地质大会)
北京
英文
708-710
2007-08-26（万方平台首次上网日期，不代表论文的发表时间）