Black swans in astronomical data

نویسندگان

چکیده

Astronomy has always been propelled by the discovery of new phenomena lacking precedent, often followed theories to explain their existence and properties. In modern era large surveys tiling sky at ever high precision sampling rates, these serendipitous discoveries look set continue, with recent examples including Boyajian's Star, Fast Radio Bursts `Oumuamua. Accordingly, we here ahead aim provide a statistical framework for interpreting such events providing guidance future observations, under basic premise that phenomenon in question stochastically repeat some unknown, constant rate, $\lambda$. Specifically, expressions are derived 1) a-posteriori distribution $\lambda$, 2) recurrence time, and, 3) benefit-to-cost ratio further observations relative inaugural event. Some rule-of-thumb results each found be $\lambda < \{0.7, 2.3, 4.6\}\,t_1^{-1}$ $\{50, 90, 95\}\%$ confidence (where $t_1=$ time obtain first detection), is $t_2 \{1, 9, 99\}\,t_1$ confidence, lack repetition $t_2$ yielding $p$-value $1/[1+(t_2/t_1)]$, follow-up $\lesssim 10\,t_1$ expected scientifically worthwhile an array differing assumptions about object's intrinsic scientific value. We apply methods Breakthrough Listen Candidate 1 signal tidal disruption observed TESS.

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ژورنال

عنوان ژورنال: Monthly Notices of the Royal Astronomical Society

سال: 2021

ISSN: ['0035-8711', '1365-8711', '1365-2966']

DOI: https://doi.org/10.1093/mnras/stab1129