A new class of weighted bimodal distribution with application to gamma-ray burst duration data.

Content Provider	Europe PMC
Author	Sharifipanah, Najme Chinipardaz, Rahim Parham, Gholam Ali
Copyright Year	2020
Abstract	ABSTRACT 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.
Related Links	https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC9097977&blobtype=pdf
Page Count	23
ISSN	02664763
Volume Number	47
DOI	10.1080/02664763.2020.1815669
PubMed Central reference number	PMC9097977
Issue Number	13-15
PubMed reference number	35707433
Journal	Journal of Applied Statistics [J Appl Stat]
e-ISSN	13600532
Language	English
Publisher	Taylor & Francis
Publisher Date	2020-09-04
Access Restriction	Open
Rights License	© 2020 Informa UK Limited, trading as Taylor & Francis Group
Subject Keyword	Bimodality gamma-ray burst duration simulation skewness weighted distribution 60E05 62E15 97K80 85A35
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty