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Overdispersed datasets require further processing with continuous or discrete mixture models that are discussed in Section 9.Sections 10-15 provide specific details about the Rb-Sr, Sm-Nd, Lu-Hf, Re-Os, Ar, U-Pb, Pb-Pb, U-Th-He, fission track and U-series dating methods.For example, in the case of Rb-Sr data, if the following data are given: ) is nonzero and can be estimated using Equation 2.Isochrons are an important instrument of high precision, high accuracy geochronology.For synchronously acquired isotopic data, such as Ar-data measured by noble gas mass spectrometry or U-Pb data measured by laser ablation inductively coupled mass spectrometry (LAICPMS), this is achieved using redundant ratios.

This is often the case for machines that are connected to mass spectrometers, as a safety precaution.

Technological advances in mass spectrometry, such as the widespread availability of multi-collector instruments, are ever increasing the precision of the isotopic data that form the basis of the chronostratigraphic timescale.

A plethora of mathematical-statistical techniques are available to extract chronological constraints from these isotopic measurements.

Examples of this include isochrons, concordia diagrams, age spectra and density estimates.

Implementing these methods in a rigorous and self-consistent manner requires appropriate software.

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