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Bayesian Inference on the Radio-quietness of Gamma-ray Pulsars
KTH, School of Engineering Sciences (SCI), Physics.
Chungnam Natl Univ, Dept Astron & Space Sci, Daejeon 34134, South Korea..
Natl Tsing Hua Univ, Inst Astron, Hsinchu, Taiwan..
Huazhong Univ Sci & Technol, Inst Particle Phys & Astron, Wuhan, Hubei, Peoples R China..
2018 (English)In: Astrophysical Journal, ISSN 0004-637X, E-ISSN 1538-4357, Vol. 857, no 2Article in journal (Refereed) Published
Abstract [en]

For the first time we demonstrate using a robust Bayesian approach to analyze the populations of radio-quiet (RQ) and radio-loud (RL) gamma-ray pulsars. We quantify their differences and obtain their distributions of the radiocone opening half-angle d and the magnetic inclination angle a by Bayesian inference. In contrast to the conventional frequentist point estimations that might be non-representative when the distribution is highly skewed or multi-modal, which is often the case when data points are scarce, Bayesian statistics displays the complete posterior distribution that the uncertainties can be readily obtained regardless of the skewness and modality. We found that the spin period, the magnetic field strength at the light cylinder, the spin-down power, the gamma-rayto-X-ray flux ratio, and the spectral curvature significance of the two groups of pulsars exhibit significant differences at the 99% level. Using Bayesian inference, we are able to infer the values and uncertainties of d and a from the distribution of RQ and RL pulsars. We found that d is between 10 degrees and 35 degrees and the distribution of a is skewed toward large values.

Place, publisher, year, edition, pages
IOP PUBLISHING LTD , 2018. Vol. 857, no 2
Keywords [en]
gamma rays: stars, methods: statistical, pulsars: general
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-227773DOI: 10.3847/1538-4357/aab959ISI: 000430827000003Scopus ID: 2-s2.0-85046405084OAI: oai:DiVA.org:kth-227773DiVA, id: diva2:1205455
Funder
Swedish Research Council
Note

QC 20180514

Available from: 2018-05-14 Created: 2018-05-14 Last updated: 2018-05-14Bibliographically approved

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