DataVXAIP AdvancesPaper
journal article·2023-09-01Open access

A new modified cubic transmuted-G family of distributions: Properties and different methods of estimation with applications to real-life data

Md. Mahabubur Rahman, Ahmed M. Gemeay, Md. Awwal Islam Khan, Mohammed Amine Meraou, M. E. Bakr, Abdisalam Hassan Muse, Eslam Hussam, Oluwafemi Samson Balogun

AIP Advances· Volume 13· Issue 9
Publisher pageOpen full text
Source abstract

Abstract

Generating new statistical models is one of the most commonly used methods to represent real-life occurrences. Sometimes, with a known distribution, it may not be possible to represent a scenario, so we may consider generalization to incorporate more variance in the data. In this article, we offer a modified cubic transmuted-G family of distributions to enrich the members of the second-order transmuted distributions. By utilizing this modified class of distributions, we build a new distribution entitled the modified cubic transmuted Rayleigh distribution, along with its distributional features, estimate, associated inference, and real-life applications.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Statistical Distribution Estimation and Applications · Probabilistic and Robust Engineering Design · Statistical Methods and Bayesian Inference

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Statistics, Islamic University 1 , Kushtia 7003, Bangladesh

Department of Mathematics, Faculty of Science, Tanta University 2 , Tanta 31527, Egypt

Laboratory of Statistics and Stochastic Processes, University of Djillali Liabes 3 , BP 89, Sidi Bel Abbes 22000, Algeria

Department of Statistics and Operations Research, College of Science, King Saud University 4 , P.O. Box 2455, Riyadh 11451, Saudi Arabia

Faculty of Science and Humanities, School of Postgraduate Studies and Research (SPGSR), Amoud University 5 , Borama 25263, Somalia

Department of Mathematics, Faculty of Science, Helwan University 6 , Cairo, Egypt

Department of Computing, University of Eastern Finland 7 , Kuopio FI-70211, Finland

Funding

King Saud University

References (18)

Show source-provided references
1. W. T. Shaw and I. R. C.Buckley, “The alchemy of probability distributions: Beyond Gram–Charlier expansions, and a skew–kurtotic-normal distribution from a rank transmutation map,” arXiv:0901.0434 (2009).
2. Transmuted Weibull distribution: A generalization of the Weibull probability distribution
3. Transmuted Lindley-geometric distribution and its applications10.18576/jsap/030107 ↗
4. On the transmuted Fréchet distribution
5. Generalized transmuted family of distributions: Properties and applications10.15672/hjms.201610915478 ↗
6. Transmuted of Rayleigh distribution with estimation and application on noise signal10.1088/1742-6596/1003/1/012026 ↗
7. Cubic transmuted uniform distribution: An alternative to beta and Kumaraswamy distributions10.29020/nybg.ejpam.v12i3.3410 ↗
8. A new method for generating families of continuous distributions10.1007/s40300-013-0007-y ↗
9. Cubic transmuted Rayleigh distribution: Theory and application10.17713/ajs.v51i3.1280 ↗
10. Zwilinger · 2014
11. 2003 · 297
12. 2017
13. 2004
14. The exponentiated Lomax Poisson distribution with an application to lifetime data
15. Exponential Lomax distribution10.5120/21602-4713 ↗
16. Statistical aspects of fibre and bundle strength in hybrid composites
17. Estimation of R = P(Y < X) for three-parameter Weibull distribution10.1016/j.spl.2009.05.026 ↗
18. 2009