Author:
Al-Babtain Abdulhakim A., ,Sherwani Rehan A. K.,Afify Ahmed Z.,Aidi Khaoula,Nasir M. Arslan,Jamal Farrukh,Saboor Abdus, , , , , ,
Abstract
<abstract><p>This article introduces a new three-parameter Marshall-Olkin Burr-R (MOB-R) family which extends the generalize Burr-G class. Some of its general properties are discussed. One of its special models called the MOB-Lomax distribution is studied in detail for illustrative purpose. A modified chi-square test statistic is provided for right censored data from the MOB-L distribution. The model parameters are estimated via the maximum likelihood and simulation results are obtained to assess the behavior of the maximum likelihood approach. Applications to real data sets are provided to show the usefulness of the proposed MOB-Lomax distribution. The modified chi-square test statistic shows that the MOB-Lomax model can be used as a good candidate for analyzing real censored data.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference24 articles.
1. A. Z. Afify, G. M. Cordeiro, N. A. Ibrahim, F. Jamal, M. Elgarhy, M. A. Nasir, The Marshall–Olkin odd Burr III-G family: theory, estimation, and engineering applications, IEEE Access, (2020).
2. A. Z. Afify, G. M. Cordeiro, H. M. Yousof, A. Saboor, E. M. M. Ortega, The Marshall–Olkin additive Weibull distribution with variable shapes for the hazard rate, Hacettepe J. Math. Stat., 47 (2018), 365–381.
3. A. Z. Afify, D. Kumar, I. Elbatal, Marshall–Olkin power generalized Weibull distribution with applications in engineering and medicine, J. Stat. Theory Appl., 19 (2020), 223–237.
4. A. Z. Afify, O. A. Mohamed, A new three–parameter exponential distribution with variable shapes for the hazard rate: estimation and applications, Mathematics, 8 (2020), 1–17.
5. A. Z. Afify, M. Nassar, G. M. Cordeiro, D. Kumar, The Weibull Marshall–Olkin Lindley distribution: properties and estimation, J. Taibah Univ. Sci., 14 (2020), 192–204.
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