Journal ArticleDOI
On the visualisation of detrital age distributions
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TLDR
In this paper, the authors proposed Kernel Density Estimation (KDE), a more robust alternative to the Probability Density Plot (PDP), which also involves summing a set of Gaussian distributions, but does not explicitly take into account the analytical uncertainties.About:
This article is published in Chemical Geology.The article was published on 2012-06-18. It has received 1122 citations till now. The article focuses on the topics: Kernel density estimation.read more
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IsoplotR: A free and open toolbox for geochronology
TL;DR: The basic principles of radiometric geochronology as implemented in a new software package called IsoplotR, which was designed to be free, flexible and future-proof, are reviewed.
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Multi-sample comparison of detrital age distributions
TL;DR: MDS is a robust and flexible superset of PCA which makes fewer assumptions about the data, and it is shown that the statistical effect size of the Kolmogorov–Smirnov test is a viable dissimilarity measure.
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Detrital Zircon U-Pb Geochronology Applied to Tectonics
TL;DR: Detrital zircon geochronology is rapidly developing into an essential tool in Earth science research because of the widespread occurrence of detrital minerals in sedimentary systems; the wide range of information that can be extracted from ZIRcon crystals; and the ability to determine ages with reasonable precision, accuracy, and efficiency as discussed by the authors.
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Strategies towards statistically robust interpretations of in situ U–Pb zircon geochronology
TL;DR: In this paper, a robust statistically coherent workflow for U-Pb zircon geochronology has been proposed, which refocusses the field toward best practice by providing a robust statistical workflow.
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An R package for statistical provenance analysis
TL;DR: Procedure as discussed by the authors is a software package within the statistical programming environment R, which aims to facilitate the visualisation and interpretation of large amounts of sedimentary provenance data, including mineralogical, petrographic, chemical and isotopic provenance proxies, or any combination of these.
References
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BookDOI
Density estimation for statistics and data analysis
TL;DR: The Kernel Method for Multivariate Data: Three Important Methods and Density Estimation in Action.
Journal ArticleDOI
Kernel density estimation via diffusion
TL;DR: A new adaptive kernel density estimator based on linear diffusion processes that builds on existing ideas for adaptive smoothing by incorporating information from a pilot density estimate and a new plug-in bandwidth selection method that is free from the arbitrary normal reference rules used by existing methods.
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Kernel density estimation via diffusion
TL;DR: In this article, a new adaptive kernel density estimator based on linear diffusion processes is proposed, which builds on existing ideas for adaptive smoothing by incorporating information from a pilot density estimate.
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A nonparametric estimate of a multivariate density function
TL;DR: In this article, the problem of estimating a probability density function has only recently begun to receive attention in the literature, and an estimator is proposed and consistency is shown, but it is only recently that it has been considered in the context of nonparametric discrimination.