A Brief Review on the Statistical Properties of Fast Radio Bursts

arXiv:2609.25810 · astro-ph.HE · Submitted 2026-09-22 · Read on arXiv

astro-ph.HE

Submitted: 2026-09-22

Updated: 2026-09-22

Comments: 39 pages, 4 figures

License: http://creativecommons.org/licenses/by/4.0/

The gist: Fast radio bursts (FRBs) are millisecond-duration radio transients of extragalactic origin, whose emission mechanisms and progenitors remain unresolved.

Terminology

Clustering — 21× in this paper · explained in 2 episodes
Metallicity — 16× in this paper · explained in 3 episodes
Trace — 9× in this paper · explained in 2 episodes
Core — 8× in this paper · explained in 2 episodes
Green Bank Telescope — 6× in this paper
Pincus Index — 4× in this paper
Benchmark — 3× in this paper · explained in 2 episodes
Chaotic Dynamics — 3× in this paper · explained in 2 episodes
Fast Radio Bursts (FRBs) — 3× in this paper · explained in 4 episodes
Lyapunov Exponent — 3× in this paper
Sparsity — 3× in this paper · explained in 4 episodes
AGN — 2× in this paper · explained in 1 episode
Adam — 2× in this paper · explained in 2 episodes
Bayesian Inference — 2× in this paper · explained in 5 episodes
Generalization — 2× in this paper · explained in 13 episodes
Population Synthesis — 2× in this paper · explained in 2 episodes
Square Kilometre Array — 2× in this paper
Abundance — 1× in this paper · explained in 1 episode
Active Galactic Nuclei (AGN) — 1× in this paper · explained in 1 episode
Bayesian Framework — 1× in this paper · explained in 3 episodes
Consistency — 1× in this paper · explained in 3 episodes
Elias — 1× in this paper · explained in 2 episodes
Frequency Dependence — 1× in this paper · explained in 2 episodes
Hybrid Models — 1× in this paper · explained in 2 episodes
Non-stationarity — 1× in this paper · explained in 2 episodes
Observational Selection Effects — 1× in this paper · explained in 2 episodes
Robustness — 1× in this paper · explained in 5 episodes
Scaling Laws — 1× in this paper · explained in 4 episodes
Selection Bias — 1× in this paper · explained in 4 episodes
Star Formation Rate (SFR) — 1× in this paper · explained in 5 episodes

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.

Terminology

Abstract

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