A Testimator Based Approach to Investigate the Non-linearity of the LMC Cepheid Period-Liminosity Relation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We study the linearity or non-linearity of the LMC Cepheid PL relation using a new statistical method "the testimator". We apply this technique to a number of independent LMC Cepheid data sets, including those that have been augmented by additional long period Cepheids. Our results show that there is a change of slope at longer period ranges for all data sets. This strongly supports previous results, using the F test, that the observed LMC PL relation is non-linear with a break period at around 10 days.

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