...documented
The source of the relation in [11, Eggen (1989c]) is given as [9, Eggen (1989a]). The latter paper contains no algebraic relations. The next paper in the literature after [9, Eggen (1989a]) is by [10, Eggen (1989b]), and it does contain an isoabundance relation. However, that relation differs from the one in [11, Eggen (1989c]; compare Eq. (1) in [11, Eggen 1989c] with Eq. (14) in [10, Eggen 1989b]). Eggen does not describe the way in which either relation was obtained.
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...techniques
The distinction between structural and functional models is discussed on pp. 123 and 125 of [1, Babu & Feigelson (1996]). This book is an indispensable source of information about statistical analysis for problems in astronomy.
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Copyright The European Southern Observatory (ESO)