A unified generalized family of distributions: Properties, inference, and real-life applications
Source abstract
Abstract
A fully parametric family of distributions called the new generalized family (NGF) is proposed. The cumulative distribution function of the proposed NGF is constructed based on the reciprocal of the hazard rate function. Furthermore, a special sub-family called the new generalized Pareto (NGP) family is also addressed. A special sub-model of the NGP class called the new Kumaraswamy Pareto (NKP) distribution is introduced. The NKP model provides flexible shapes for its hazard and density functions. The properties of the NKP distribution are derived. In addition, the inferences under complete and bootstrapped samples of the NKP parameters are addressed. Monte Carlo simulation studies are also performed to explore the behavior of different estimators. Three real-life datasets are fitted using the NKP distribution, showing the superiority fit of the proposed statistical model.
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Research context
OpenAlex topics: Statistical Distribution Estimation and Applications · Probabilistic and Robust Engineering Design · Hydrology and Drought Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Statistics, COMSATS University Islamabad, Lahore Campus 1 , Lahore 54000, Pakistan
Department of Statistics, Government Graduate College of Science 2 , Wahdat Road, Lahore 54000, Pakistan
Department of Mathematics and Statistics, University of Jeddah, College of Science 3 , Jeddah 21944, Saudi Arabia
Department of Management Information Systems and Production Management, College of Business and Economics, Qassim University 4 , Buraydah 51452, Saudi Arabia
Funding
Qassim University
References (31)
Show source-provided references
1. A new method for generating families of continuous distributions10.1007/s40300-013-0007-y ↗
2. 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 ↗
3. Beta-normal distribution and its application10.1081/sta-120003130 ↗
4. Families of distributions arising from distributions of order statistics10.1007/bf02602999 ↗
5. A new family of generalized distributions10.1080/00949650903530745 ↗
6. Exponentiated $T$-$X$ family of distributions with some applications10.5539/ijsp.v2n3p31 ↗
7. The Marshall–Olkin–Weibull-H family: Estimation, simulations, and applications to COVID-19 data10.1016/j.jksus.2022.102115 ↗
8. Table of the ratio: Area to bounding ordinate, for any portion of normal curve10.1093/biomet/18.3-4.395 ↗
9. Estimation in the Pareto distribution10.2143/ast.20.2.2005443 ↗
10. On estimation of the exponentiated Pareto distribution under different sample schemes10.1016/j.stamet.2009.10.003 ↗
11. Exponential Pareto distribution
12. The exponentiated Weibull–Pareto distribution with application10.2991/jsta.2016.15.4.2 ↗
13. Exponentiated generalized Pareto distribution: Properties and applications towards extreme value theory10.1080/03610926.2018.1441418 ↗
14. The exponentiated generalized extended Pareto distribution10.6339/jds.201810_16(4).00007 ↗
15. New Weibull–Pareto distribution in acceptance sampling plans based on truncated life tests10.5923/j.ajms.20180805.07 ↗
16. The Burr X Pareto distribution: Properties, applications and VaR estimation10.3390/jrfm11010001 ↗
17. On a new generalization of Pareto distribution and its applications10.1080/03610918.2018.1494281 ↗
18. Marshall–Olkin generalized Pareto distribution: Bayesian and non-Bayesian estimation10.18187/pjsor.v16i1.2935 ↗
19. The power function distribution: A useful and simple distribution to assess electrical component reliability10.1016/0026-2714(95)00053-4 ↗
20. A new model for income size distribution
21. Inverted Kumaraswamy distribution: Properties and estimation
22. Exponentiated Pareto distribution: Different method of estimations
23. Computer methods for estimating Weibull parameters in reliability studies10.1109/ire-pgrqc.1958.5007164 ↗
24. Least-squares estimation of distribution functions in Johnson’s translation system10.1080/00949658808811068 ↗
25. 2004 · 154
26. 1982 · 98
27. One-sided approximate prediction intervals for at least p of m observations from a gamma population at each of r locations10.1198/004017005000000355 ↗
28. The new Weibull–Pareto distribution10.18187/pjsor.v11i1.863 ↗
29. Parameter estimation for inverse Pareto distribution with randomly censored life time data
30. Pareto-exponential distribution: Theory and real-life applications10.24018/ejmath.2022.3.3.116 ↗
31. Pareto–Weibull distribution with properties and applications: A member of Pareto-X family10.18187/pjsor.v18i1.3821 ↗