Do pulsar and Fast Radio Burst dispersion measures obey Benford’s law?

Mamidipaka, Pragna; Desai, S.

doi:10.1016/j.astropartphys.2022.102761

Cited by 2 publications

(2 citation statements)

References 27 publications

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“…The investigation of mantissa distribution of the pulsars revealed that digit distributions of the pulsar quantities, except for the barycentric period, conform to BL [Shao and Ma (2010)]. On the other hand, the dispersion measure of pulsars and of the fast radio bursts are found to be inconsistent with the predictions of the law [Mamidipaka and Desai (2023)]. Furthermore, a BL based analysis of the masses of 401 extra-solar planets has found about 3% exaggeration in the frequency of digit 6 than BL expected value which is attributed to the erroneous assignment of masses of 11 extra-solar planets [Sambridge et.…”

Section: Relevant Literaturementioning

confidence: 95%

Benford’s law: an application to sunspot data

Mir,

Darzi,

Ishtiaq

et al. 2023

Preprint

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Sunspots, the longest recorded indicators of the solar activity, are fundamental to the understanding of the sun and related solar phenomena. Here we explore whether the data on sunspot areas conforms to Benford’s law (BL) - an empirical observation that in large data the numbers having smaller first significant digits (FSDs) appear far more frequently than do the numbers having larger FSDs. We analyze the areas of individual sunspots, of sunspot groups and total area of all the sunspots visible on the surface of sun at any point of time. Furthermore, we also investigate the daily photometric sunspot index (PSI), the umbral and daily plage areas for conformity to BL. The distribution of FSDs of numbers amongst all the data sets are found to be in good agreement with the predictions of BL except the data on daily plage areas which show some deviations from the law. Interpretation of the obtained results is also given.

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Section: Relevant Literaturementioning

confidence: 95%

Benford’s law: an application to sunspot data

Mir,

Darzi,

Ishtiaq

et al. 2023

Preprint

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“…In astronomy, Benford's law also has extensive application in all sorts of astrophysical data sets, such as light curves of variable stars and other X-ray sources (Moret et al 2006), pulsar properties (Shao & Ma 2010a), distances of galaxies and stars (Alexopoulos & Leontsinis 2014), exoplanetary and asteroid data (Shukla et al 2017;Melita & Miraglia 2021), Gaia Data Release 2 (DR2) parallaxes (de Jong et al 2020), and so on. Nevertheless, there are also some types of data, e.g., pulsar and fast radio burst dispersion measures, that do not obey Benford's law (Mamidipaka & Desai 2023).…”

Section: Introductionmentioning

confidence: 99%

First Digit Distributions of Gamma-Ray Bursts

Lai,

Wei

2024

Res. Astron. Astrophys.

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The occurrence of the first significant digits from real world sources is usually not equally distributed, but is consistent with a logarithmic distribution instead, known as Benford's law. In this work, we perform a comprehensive investigation on the first digit distributions of the duration, fluence, and energy flux of gamma-ray bursts (GRBs) for the first time. For a complete GRB sample detected by the Fermi satellite, we find that the first digits of the duration and fluence adhere to Benford's law. However, the energy flux shows a significant departure from this law, which may be due to the fact that a considerable part of the energy flux measurements are restricted by lack of spectral information. Based on the conventional duration classification scheme, we also check if the durations and fluences of long and short GRBs (with duration $T_{90}>2$ s and $T_{90}\leq2$ s, respectively) obey Benford's law. We find that the fluences of both long and short GRBs still agree with the Benford distribution, but their durations do not follow Benford's law. Our results hint that the long--short GRB classification scheme does not directly represent the intrinsic physical classification scheme.

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Do pulsar and Fast Radio Burst dispersion measures obey Benford’s law?

Cited by 2 publications

References 27 publications

Benford’s law: an application to sunspot data

Benford’s law: an application to sunspot data

First Digit Distributions of Gamma-Ray Bursts

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