A new class of weighted bimodal distribution with application to gamma-ray burst duration data. Issue 13 (17th November 2020)

• Record Type: Journal Article
• Authors: Sharifipanah, Najme; Chinipardaz, Rahim; Parham, Gholam Ali
• Is Part Of: Journal of applied statistics. Volume 47:Issue 13/15(2020)
• Page Start: 2785
• Page End: 2807
• Publication Date: 2020-11-17
• Subjects: Bimodality -- gamma-ray burst duration -- simulation -- skewness -- weighted distribution; 60E05 -- 62E15 -- 97K80 -- 85A35; Statistics -- Periodicals; 519.5
• DOI: 10.1080/02664763.2020.1815669
• Languages: English
• ISSNs: 0266-4763

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.