Prediction intervals for future Weibull residual data
| Autor: | R. A. Al-Jarallah, Mohammad Z. Raqab |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Statistics and Probability
Reliability theory 021103 operations research Applied Mathematics Monte Carlo method Order statistic 0211 other engineering and technologies Prediction interval 02 engineering and technology Residual 01 natural sciences 010104 statistics & probability Modeling and Simulation Prediction methods Statistics Statistics::Methodology 0101 mathematics Statistics Probability and Uncertainty Mathematics Parametric statistics Weibull distribution |
| Zdroj: | Journal of Statistical Computation and Simulation. 86:1320-1333 |
| ISSN: | 1563-5163 0094-9655 |
| DOI: | 10.1080/00949655.2015.1060484 |
| Popis: | In reliability theory, risk analysis, renewal processes and actuarial studies, the residual lifetimes data play an important essential role in studying the conditional tail of the lifetime data. In this paper, based on some observed ordered residual Weibull data, we introduce different prediction methods for obtaining prediction intervals (PIs) of future residual lifetimes including likelihood, Wald, moments, parametric bootstrap, and highest conditional methods. Monte Carlo simulations are performed to compare the performances of the so obtained PIs and one data analysis is performed for illustration purposes. |
| Databáze: | OpenAIRE |
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