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Progressive Type-II Censoring Schemes of Extended Odd Weibull Exponential Distribution with Applications in Medicine and Engineering
- Source :
- Mathematics; Volume 8; Issue 10; Pages: 1679, Mathematics, Vol 8, Iss 1679, p 1679 (2020)
- Publication Year :
- 2020
- Publisher :
- Multidisciplinary Digital Publishing Institute, 2020.
-
Abstract
- In this paper, the parameters of the extended odd Weibull exponential distribution are estimated under progressive type-II censoring scheme with random removal. The model parameters are estimated using the maximum product spacing and maximum likelihood estimation methods. Further, we explore the asymptotic confidence intervals and bootstrap confidence intervals for the model parameters. Monte Carlo simulations are performed to compare between the proposed estimation methods under progressive type-II censoring scheme. An empirical study using two real datasets form engineering and medicine fields to validate the introduced methods of inference. Based on our study, we can conclude that the maximum product of spacing method outperforms the maximum likelihood method for estimating the extended odd Weibull exponential (EOWE) parameters under a progressive type-II censoring scheme in both numerical and empirical cases.
- Subjects :
- Exponential distribution
General Mathematics
Monte Carlo method
Inference
maximum likelihood estimation
02 engineering and technology
01 natural sciences
maximum product spacing
010104 statistics & probability
bootstrap confidence intervals
0202 electrical engineering, electronic engineering, information engineering
Computer Science (miscellaneous)
Applied mathematics
Statistics::Methodology
exponential distribution
0101 mathematics
progressive type-II censoring
Engineering (miscellaneous)
Weibull distribution
Mathematics
lcsh:Mathematics
lcsh:QA1-939
Censoring (statistics)
Confidence interval
Exponential function
020201 artificial intelligence & image processing
Bootstrap confidence interval
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Database :
- OpenAIRE
- Journal :
- Mathematics; Volume 8; Issue 10; Pages: 1679
- Accession number :
- edsair.doi.dedup.....10f8d6c9dbe2dd551da43f4e152bfdef
- Full Text :
- https://doi.org/10.3390/math8101679