Nonparametric estimation of the size and waiting time distributions of pulsar glitches

Glitch size and waiting time probability density functions (PDFs) are estimated for the five pulsars that have glitched most using the nonparametric kernel density estimator. Two objects exhibit decreasing size and waiting time PDFs. Their activity is Poisson-like, and their size statistics are appr...

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Bibliographic Details
Published in:arXiv.org 2018-09
Main Authors: Howitt, G, Melatos, A, Delaigle, A
Format: Article
Language:English
Subjects:
Avalanches
Fluids
Probability density functions
Pulsars
Superfluidity
Waiting period
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Summary:Glitch size and waiting time probability density functions (PDFs) are estimated for the five pulsars that have glitched most using the nonparametric kernel density estimator. Two objects exhibit decreasing size and waiting time PDFs. Their activity is Poisson-like, and their size statistics are approximately scale-invariant. Three objects exhibit a statistically significant local maximum in the PDFs, including one (PSR J1341\(-\)6220) which was classified as Poisson-like in previous analyses. Their activity is quasiperiodic, although the dispersion in waiting times is relatively broad. The classification is robust: it is preserved across a wide range of bandwidth choices. There is no compelling evidence for multimodality, but this issue should be revisited when more data become available. The implications for superfluid vortex avalanche models of pulsar glitches are explored briefly.
ISSN:2331-8422
DOI:10.48550/arxiv.1809.06038