Some Inferences on Three Parameters Birnbaum-Saunders Distribution: Statistical Properties, Characterizations and Applications
Shakil, M., Munir, M., Kausar, N., Ahsanullah, M., Khadim, A., Sirajo, M., Singh, J., Kibria, B. (2023). Some Inferences on Three Parameters Birnbaum-Saunders Distribution: Statistical Properties, Characterizations and Applications. EKB Journal Management System, 2(2), 197-222. doi: 10.21608/cjmss.2023.224583.1011
Mohammad Shakil; Mohammad Munir; N. Kausar; Mohammad Ahsanullah; Aneeqa Khadim; M. Sirajo; Jai Narain Singh; B. M. G. Kibria. "Some Inferences on Three Parameters Birnbaum-Saunders Distribution: Statistical Properties, Characterizations and Applications". EKB Journal Management System, 2, 2, 2023, 197-222. doi: 10.21608/cjmss.2023.224583.1011
Shakil, M., Munir, M., Kausar, N., Ahsanullah, M., Khadim, A., Sirajo, M., Singh, J., Kibria, B. (2023). 'Some Inferences on Three Parameters Birnbaum-Saunders Distribution: Statistical Properties, Characterizations and Applications', EKB Journal Management System, 2(2), pp. 197-222. doi: 10.21608/cjmss.2023.224583.1011
Shakil, M., Munir, M., Kausar, N., Ahsanullah, M., Khadim, A., Sirajo, M., Singh, J., Kibria, B. Some Inferences on Three Parameters Birnbaum-Saunders Distribution: Statistical Properties, Characterizations and Applications. EKB Journal Management System, 2023; 2(2): 197-222. doi: 10.21608/cjmss.2023.224583.1011

Some Inferences on Three Parameters Birnbaum-Saunders Distribution: Statistical Properties, Characterizations and Applications

Computational Journal of Mathematical and Statistical Sciences
Volume 2, Issue 2, November 2023, Page 197-222  XML PDF (2.1 MB)
Document Type: Original Article
DOI: 10.21608/cjmss.2023.224583.1011
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Authors
Mohammad Shakil1; Mohammad Munir email orcid 2; N. Kausar3; Mohammad Ahsanullah4; Aneeqa Khadim5; M. Sirajo6; Jai Narain Singh7; B. M. G. Kibria8
1Professor of Mathematics / Statistics, DEPARTMENT OF LIBERAL ARTS AND SCIENCES - Mathematics / Statistics, Miami Dade College, Hialeah Campus, 1780 West 49th Street, Fl. 33024, USA
2Math Dept., Govt. Postgraduate College, Abbottabad, Pakistan
3Yildiz Tech. University, Dept. of Math., İstanbul, Turkey
4Department of Management Sciences, Professor Emeritus, Rider University, NJ, USA
5Department of Mathematics, Mirpur University of Science & Technology, Mirpur, Pakistan
6Dept. of Stat., Ahmadu Bello University, Zaria, Nigeria
7Department of Mathematics & Computer Sciences, Barry University, Miami Shores, FL, USA
8Professor, Department of Mathematics and Statistics, Florida International University, FIU, Miami, USA
Abstract
Three parameters Birnbaum-Saunders, BS (3P), distribution is an important statistical model which is useable in the fields of both pure and applied sciences. Since its inception, Birnbaum-Saunders (BS) distribution has received a considerable attention in view of its wide applications in many areas of research in applied sciences, such as engineering science, earth science, environmental science, medical science, material fatigue and reliability studies. The objective of this paper is a statistical analysis of the three parameter Birnbaum-Saunders, BS (3P), distribution and to draw some inferences on it. Several new distributional properties of this distribution have been discussed. Based on these distributional properties, we have established several new characterization results of the three-parameter Birnbaum-Saunders distribution. Finally, applications to some real-life data sets are analyzed to show the usefulness of this distribution.  The results of this article will be useful for the researchers, scientists, and statisticians in fields of theoretical and applied sciences.
Keywords
Birnbaum-Saunders Distribution; Characterizations; Estimation; Reliability; Truncated Moment
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