Marshall–Olkin Weibull–Burr XII distribution with application to physics data
Source abstract
Abstract
The focus of this study is a new lifetime distribution with five parameters created by combining the Weibull–Burr XII model and the Marshall–Olkin-G family. The newly suggested model is known as the Marshall–Olkin Weibull–Burr XII (MOWBXII) distribution. The new distribution has the benefit of being able to model different types of data, and it is useful in reliability and lifespan statistics. Several current distributions as well as new distributions are included in the MOWBXII distribution. The MOWBXII density function is represented as a linear combination of Burr XII densities. Some statistical properties of the MOWBXII distribution are discussed. Various techniques for estimating the model’s parameters are used. The proposed estimation methods are weighted least squares, maximum likelihood, least squares, and maximum product of spacing methods. The effectiveness of different estimates is evaluated in terms of relative bias and mean squared error of the simulation study. Practical illustrations of the MOWBXII distribution are demonstrated using two real datasets. Furthermore, it is shown that the proposed distribution fits well, and this is claimed by comparing with Burr XII-based distributions and some other distributions by means of some measures of goodness-of-fit.
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Research context
OpenAlex topics: Statistical Distribution Estimation and Applications · Reliability and Maintenance Optimization · Probabilistic and Robust Engineering Design
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
1 Department of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi Arabia
Department of Mathematics Vellore Institute of Technology Andhra Pradesh 2 , Amaravati, India
Faculty of Graduate Studies for Statistical Research, Cairo University 3 , 5 Dr. Ahmed Zewail Street, Giza 12613, Egypt
Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University 4 , Beni-Suef 62521, Egypt
5 Department of Basic Sciences, Higher Institute for Administrative Sciences, Belbeis, AlSharkia, Egypt
Section of Mathematics, International Telematic University Uninettuno 6 , Corso Vittorio Emanuele II, 39,00186 Roma, Italy
7 Near East University, Operational Research Center in Healthcare, Nicosia 99138, TRNC Mersin 10, Turkey
8 Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
9 Department of Statistics, Faculty of Business Administration, Delta University for Science and Technology, Gamasa, Belqas 11152, Egypt
Funding
Deanship of Scientific Research, King Saud University
References (52)
Show source-provided references
1. A new method for generating families of continuous distributions10.1007/s40300-013-0007-y ↗
2. Families of distributions arising from distributions of order statistics10.1007/bf02602999 ↗
3. The Marshall-Olkin family of distributions: Mathematical properties and new models10.1080/15598608.2013.802659 ↗
4. The logistic-X family of distributions and its applications10.1080/03610926.2014.980516 ↗
5. Type II half logistic family of distributions with applications10.18187/pjsor.v13i2.1560 ↗
6. The type I half-logistic family of distributions10.1080/00949655.2015.1031233 ↗
7. Power Lindley-G family of distributions10.1007/s40745-018-0159-y ↗
8. A new family of upper-truncated distributions: Properties and estimation10.1088/1742-6596/1897/1/012015 ↗
9. The shifted Gompertz-G family of distributions: Properties and applications10.1515/ms-2021-0053 ↗
10. Type I half logistic Burr X-G family: Properties, Bayesian, and non-Bayesian estimation under censored samples and applications to COVID-19 data10.1155/2021/5461130 ↗
11. A family of gamma-generated distributions: Statistical properties and applications10.1177/09622802211009262 ↗
12. The Teissier-G family of distributions: Properties and applications10.1515/ms-2022-0089 ↗
13. Generalizations of pareto distribution with applications to lifetime data10.1088/1742-6596/1943/1/012141 ↗
14. A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families10.1093/biomet/84.3.641 ↗
15. Parameter induction in continuous univariate distributions: Well-established G families10.1590/0001-3765201520140299 ↗
16. Recent developments in distribution theory: A brief survey and some new generalized classes of distributions10.18187/pjsor.v15i1.2803 ↗
17. Generalized Marshall Olkin inverse Lindley distribution with applications10.32604/cmc.2020.010887 ↗
18. Marshall-Olkin generalized Pareto distribution: Bayesian and non Bayesian estimation10.18187/pjsor.v16i1.2935 ↗
19. Progressive censoring schemes for Marshall-Olkin Pareto distribution with applications: Estimation and prediction10.1371/journal.pone.0270750 ↗
20. Classical and Bayesian inference of Marshall-Olkin extended Gompertz Makeham model with modeling of physics data10.1155/2022/2528583 ↗
21. Analysis of Covid-19 data using discrete Marshall–Olkinin length biased exponential: Bayesian and frequentist approach10.1038/s41598-023-39183-6 ↗
22. Reliability test plan for the Marshall-Olkin extended inverted Kumaraswamy distribution10.24412/1932-2321-2021-363-26-36 ↗
23. Cumulative frequency functions10.1214/aoms/1177731607 ↗
24. The beta Burr XII distribution with application to lifetime data10.1016/j.csda.2010.09.009 ↗
25. A new generalization of Burr XII distribution
26. An extended Burr XII distribution: Properties, inference and applications10.18187/pjsor.v13i4.1965 ↗
27. The flexible Weibull extension-Burr XII distribution: Model, properties and applications10.18187/pjsor.v16i3.2957 ↗
28. The extended Burr XII distribution: Properties and applications10.22436/jnsa.013.03.02 ↗
29. A new Lindley-Burr XII power series distribution: Model, properties and applications10.1016/j.heliyon.2021.e07146 ↗
30. The generalized Weibull-Burr XII distribution and its applications10.6339/jds.201707_15(3).0009 ↗
31. On five-parameter Burr XII distribution: Properties and applications10.37920/sasj.2017.51.1.4 ↗
32. Type II Topp-Leone Bur XII distribution: Properties and applications to failure time data10.1016/j.sciaf.2022.e01200 ↗
33. The four-parameter Burr XII distribution: Properties, regression model, and applications10.1080/03610926.2016.1231821 ↗
34. The Kumaraswamy Burr XII distribution: Theory and practice10.1080/00949655.2012.683003 ↗
35. The exponentiated exponential Burr XII distribution: Theory and application to lifetime and simulated data10.1371/journal.pone.0268980 ↗
36. Garhy-generated family of distributions with application
37. Gompertz-modified Burr XII distribution: Properties and applications10.1007/s41872-020-00158-5 ↗
38. The odd exponentiated half-logistic Burr XII distribution10.18187/pjsor.v14i2.2285 ↗
39. On the extension of the Burr XII distribution: Applications and regression10.21608/cjmss.2023.181739.1000 ↗
40. The Weibull-Lomax distribution: Properties and applications10.15672/HJMS.2014147465 ↗
41. Maximum product-of-spacings estimation with applications to the lognormal distribution
42. Least-squares estimation of distribution functions in Johnson’s translation system10.1080/00949658808811068 ↗
43. A general purpose approximate goodness-of-fit test10.1080/00224065.1995.11979578 ↗
44. A comparison of maximum likelihood and Bayesian estimators for the three- parameter Weibull distribution10.2307/2347795 ↗
45. The modified beta Gompertz distribution: Theory and applications10.3390/math7010003 ↗
46. Marshall-Olkin extended burr type XII distribution10.5539/ijsp.v3n1p78 ↗
47. Half logistic inverted Nadarajah–Haghighi distribution under ranked set sampling with applications10.3390/math11071693 ↗
48. Modeling of COVID-19 vaccination rate using odd Lomax inverted Nadarajah-Haghighi distribution10.1371/journal.pone.0276181 ↗
49. Type II exponentiated half-logistic-Topp-Leone-G power series class of distributions with applications10.18187/pjsor.v17i4.3775 ↗
50. Marshall Olkin alpha power extended Weibull distribution: Different methods of estimation based on type I and type II censoring10.35378/gujs.741755 ↗
51. The Gumbel-Lomax distribution: Properties and applications10.2991/jsta.2016.15.1.6 ↗
52. Kavya-Manoharan Weibull-G family of distributions: Statistical inference under progressive type-II censoring scheme10.17654/0972361723034 ↗