R-Andromedae and the Method of Wavelength Coincidence Statistics

Statistics

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Scientific paper

The wavelength lists of Merrill and of Merrill and Greenstein for R Andromedae (λλ3342-6892) have been analyzed by the method of wavelength coincidence statistics (WCS).
Tile atomic species identified at high confidence levels by WCS are in excellent agreement with the results of the classical methods. Lack of agreement can almost always be attributed to small numbers of expected atomic lines (e.g., Ca II, Na I, etc.), where WCS, like any statistical.procedure, is at a disadvantage. WCS, without further spectroscopic considerations, finds Tc I at the 99.5% confidence level.
A theoretical model of the WCS procedures is developed which makes it possible to give estimates of the expected number of marginal results (95-99.5% confidence). Tile number of marginal identifications of WCS estimated from the model to be real-not due to chance coincidences-is in excellent agreement with the number of species identified by Merrill and Greenstein on the basis of small numbers of lines or with question marks concerning their presence. The most practical aspects of WCS appear to be well-understood, and there is no indication that confidence levels are being overestimated as can happen when the Russell-Bowen formulae are applied.
Attention is called to the weakness (or absence) of La ii and Ce ii, which appears to contradict the predictions of the s-process. Tile proposed explanation is depletion of the atomic species by the formation of molecules.

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