A new class of weighted bimodal distribution with application to gamma-ray burst duration data
Gamma-ray bursts (GRBs) have been confidently identified thus far and are prescribed to different physical scenarios, black hole mergers, and collapse of massive stars. The distribution of GRBs duration, which is one of the main characteristics of GRBs, is bimodal. Hence, many authors have used mixt...
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| Veröffentlicht in: | Journal of applied statistics 2020-11, Vol.47 (13-15), p.2785-2807 |
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| container_issue | 13-15 |
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| container_title | Journal of applied statistics |
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| creator | Sharifipanah, Najme Chinipardaz, Rahim Parham, Gholam Ali |
| description | Gamma-ray bursts (GRBs) have been confidently identified thus far and are prescribed to different physical scenarios, black hole mergers, and collapse of massive stars. The distribution of GRBs duration, which is one of the main characteristics of GRBs, is bimodal. Hence, many authors have used mixtures of distribution models to fit them, which suffers serious estimation problems either from classical or Bayesian approaches. Therefore, in this article we introduced a more flexible class of weighted bimodal distribution, called alpha two-piece skew normal (ATPSN), for modeling GRBs duration data set. Some of the main probabilistic and inferential properties of the distribution are discussed and a simulation study is carried out to illustrate the performance of the MLEs. |
| doi_str_mv | 10.1080/02664763.2020.1815669 |
| format | Article |
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The distribution of GRBs duration, which is one of the main characteristics of GRBs, is bimodal. Hence, many authors have used mixtures of distribution models to fit them, which suffers serious estimation problems either from classical or Bayesian approaches. Therefore, in this article we introduced a more flexible class of weighted bimodal distribution, called alpha two-piece skew normal (ATPSN), for modeling GRBs duration data set. 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| subjects | Bayesian analysis Bimodality Computer simulation Gamma ray bursts Gamma rays gamma-ray burst duration Massive stars simulation Skewness Statistical methods V WCDANM 2018: Advances in Computational Data Analysis weighted distribution |
| title | A new class of weighted bimodal distribution with application to gamma-ray burst duration data |
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