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This paper introduces an approach to analyze nonhomogeneous Poisson processes (NHPP) observed with noise, focusing on previously unstudied second-order characteristics of the noisy process. Utilizing a hierarchical Bayesian model with noisy…

The origin of fast radio bursts (FRBs), highly energetic, millisecond-duration radio pulses originating from beyond our galaxy, remains unknown. Observationally, FRBs are classified as non-repeating or repeating, however, this…

How the event rate of fast radio bursts (FRBs) evolves with redshift is a hot topic to explore their cosmological origin and the circum-burst environment. Particularly, it is urgent to know what the difference of event rates between…

High Energy Astrophysical Phenomena · Physics 2025-09-16 Q. Pan , X. Y. Du , Z. B. Zhang , Y. F. Huang , L. B. Li , G. A. Li

Statistical interpretation of sparsely sampled event rates has become vital for new transient surveys, particularly those aimed at detecting fast radio bursts (FRBs). We provide an accessible reference for a number of simple, but critical,…

Instrumentation and Methods for Astrophysics · Physics 2016-12-06 Scott Vander Wiel , Sarah Burke-Spolaor , Earl Lawrence , Casey J. Law , Geoffrey C. Bower

In this paper, we present a sample of 21 repeating fast radio bursts (FRBs) detected by different radio instruments before September 2021. Using the Anderson--Darling test, we compared the distributions of extra-Galactic dispersion measure…

High Energy Astrophysical Phenomena · Physics 2022-06-29 Kongjun Zhang , Longbiao Li , Zhibin Zhang , Qinmei Li , Juanjuan Luo , Min Jiang

We detail a new fast radio burst (FRB) survey with the Molonglo Radio Telescope, in which six FRBs were detected between June 2017 and December 2018. By using a real-time FRB detection system, we captured raw voltages for five of the six…

The Macquart relation and time-delay cosmography are now two promising ways to fast radio burst (FRB) cosmology. In this work, we propose a joint method that combines strongly lensed and unlensed FRBs for improving cosmological parameter…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-13 Ji-Guo Zhang , Yi-Fan Jiang , Ze-Wei Zhao , Jing-Zhao Qi , Jing-Fei Zhang , Xin Zhang

The luminosity function of Fast Radio Bursts (FRBs), defined as the event rate per unit cosmic co-moving volume per unit luminosity, may help to reveal the possible origins of FRBs and design the optimal searching strategy. With the…

High Energy Astrophysical Phenomena · Physics 2020-04-22 Rui Luo , Yunpeng Men , Kejia Lee , Weiyang Wang , D. R. Lorimer , Bing Zhang

Fast Radio Bursts (FRBs) are intense radio flashes from the sky that are characterized by millisecond durations and Jansky-level flux densities. We carried out a statistical analysis on FRBs discovered. Their mean dispersion measure, after…

High Energy Astrophysical Phenomena · Physics 2017-02-01 LongBiao Li , YongFeng Huang , ZhiBin Zhang , Di Li , Bing Li

Rhe Fast Radio Burst FRB121102 has been observed to repeat in an irregular fashion. Using published timing data of the observed bursts, we show that Poissonian statistics are not a good description of this random process. As an alternative…

High Energy Astrophysical Phenomena · Physics 2018-05-17 Niels Opperman , Hao-Ran Yu , Ue-Li Pen

In this paper we identify some sub-optimal performance in algorithms that search for Fast Radio Bursts (FRBs), which can reduce the cosmological volume probed by over 20%, and result in missed discoveries and incorrect flux density and sky…

High Energy Astrophysical Phenomena · Physics 2015-06-22 E. F. Keane , E. Petroff

We introduce the `nhppp' package for simulating events from one-dimensional non-homogeneous Poisson point processes (NHPPPs) in R fast and with a small memory footprint. We developed it to facilitate the sampling of event times in discrete…

Computation · Statistics 2024-05-30 Thomas A. Trikalinos , Yuliia Sereda

Fast Radio Bursts (FRBs) are bright radio transient events, a subset of which have been localized to their host galaxies. Their high dispersion measures offer valuable insights into the ionized plasma along their line of sight, enabling…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-24 Surajit Kalita , Shruti Bhatporia , Amanda Weltman

Fast radio burst (FRB) is a type of extragalactic radio signal characterized by millisecond duration, extremely high brightness temperature, and large dispersion measure. It remains a mystery in the universe. Advancements in instrumentation…

High Energy Astrophysical Phenomena · Physics 2024-09-23 Qin Wu , Fa-Yin Wang

Fast radio bursts (FRBs) are millisecond-duration radio signals occurring at cosmological distances. However the physical model of FRBs is mystery, many models have been proposed. Here we study the frequency distributions of peak flux,…

High Energy Astrophysical Phenomena · Physics 2017-03-22 F. Y. Wang , H. Yu

Fast radio bursts (FRBs) are extremely energetic, millisecond-duration radio flashes that reach Earth from extragalactic distances. Broadly speaking, FRBs can be classified as repeating or (apparently) non-repeating. It is still unclear,…

High Energy Astrophysical Phenomena · Physics 2023-06-28 F. Kirsten , O. Ould-Boukattine , W. Herrmann , M. Gawronski , J. Hessels , W. Lu , M. Snelders , P. Chawla , J. Yang , R. Blaauw , K. Nimmo , W. Puchalska , P. Wolak , R. van Ruiten

Fast Radio Burst (FRB) is an extremely energetic cosmic phenomenon of short duration. Discovered only recently and with its origin still unknown, FRBs have already started to play a significant role in studying the distribution and…

Instrumentation and Methods for Astrophysics · Physics 2025-07-31 Xuerong Guo , Han Wang , Yifan Xiao , Huaxi Chen , Yinan Ke , ChenChen Miao , Pei Wang , Di Li , Chenwu Jin , Ling He , Yi Feng , Yongkun Zhang , Jiaying Xu , Guangyong Chen

We present 849 new bursts from FRB 20121102A detected with the 305-m Arecibo Telescope. Observations were conducted as part of our regular campaign to monitor activity and evolution of burst properties. The 10 reported observations were…

High Energy Astrophysical Phenomena · Physics 2023-01-09 J. N. Jahns , L. G. Spitler , K. Nimmo , D. M. Hewitt , M. P. Snelders , A. Seymour , J. W. T. Hessels , K. Gourdji , D. Michilli , G. H. Hilmarsson

The phenomenon of fast radio bursts (FRBs) was discovered in 2007. These are powerful (0.1-100 Jy) single radio pulses with durations of several milliseconds, large dispersion measures, and record high brightness temperatures suggesting…

High Energy Astrophysical Phenomena · Physics 2018-12-14 S. B. Popov , K. A. Postnov , M. S. Pshirkov
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