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PreprintCC BY 4.0arXiv

A Brief Review on the Statistical Properties of Fast Radio Bursts

  • Yu Sang
  • Hai-Nan Lin
Open at sourcePDFDOICite

Abstract

Fast radio bursts (FRBs) are millisecond-duration radio transients of extragalactic origin, whose emission mechanisms and progenitors remain unresolved. Statistical analyses of the rapidly growing samples provide a promising means to constrain the underlying physics. In this review, we synthesize the statistical properties derived from current FRB catalogs, encompassing constraints on dispersion measure, redshift, energy/luminosity functions, repetition rate, and host-galaxy demographics. For repeating FRBs, we examine the statistics of energy, fluence/flux, waiting time, and discuss time-series analyses that reveal memory effects and chaotic dynamics. We further discuss the observational discovery and theoretical interpretation of periodic activity, and survey polarization properties that probe the magneto-ionic environments of FRB sources. Throughout, we emphasize robust empirical trends, account for observational biases and selection effects, and outline outstanding open questions regarding the physical origin of these enigmatic bursts.

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Cite

BibTeXRIS
BibTeX
@misc{sang2026brief,
  title = {{A Brief Review on the Statistical Properties of Fast Radio Bursts}},
  author = {Yu Sang and Hai-Nan Lin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25810},
  eprint = {2609.25810},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25810},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Brief Review on the Statistical Properties of Fast Radio Bursts
AU  - Yu Sang
AU  - Hai-Nan Lin
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.25810
UR  - https://arxiv.org/abs/2609.25810
AB  - Fast radio bursts (FRBs) are millisecond-duration radio transients of extragalactic origin, whose emission mechanisms and progenitors remain unresolved. Statistical analyses of the rapidly growing samples provide a promising means to constrain the underlying physics. In this review, we synthesize the statistical properties derived from current FRB catalogs, encompassing constraints on dispersion measure, redshift, energy/luminosity functions, repetition rate, and host-galaxy demographics. For repeating FRBs, we examine the statistics of energy, fluence/flux, waiting time, and discuss time-series analyses that reveal memory effects and chaotic dynamics. We further discuss the observational discovery and theoretical interpretation of periodic activity, and survey polarization properties that probe the magneto-ionic environments of FRB sources. Throughout, we emphasize robust empirical trends, account for observational biases and selection effects, and outline outstanding open questions regarding the physical origin of these enigmatic bursts.
ER  -