New classes at Specific Age: Properties and Testing hypotheses
| Autor: | Ahmed Shawky, Mohamed Mahmoud, A.M. Gadallah, M.E. Moshref |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Statistics and Probability
Applied Mathematics Closure (topology) Nonparametric statistics Homogeneous Poisson shock model Poisson distribution U-statistic Convolution Computer Science Applications symbols.namesake Mixing (mathematics) Statistics Mixture symbols Hypothesis test lcsh:Probabilities. Mathematical statistics lcsh:QA273-280 Reliability (statistics) Mathematics Statistical hypothesis testing |
| Zdroj: | Journal of Statistical Theory and Applications (JSTA), Vol 12, Iss 1 (2013) |
| ISSN: | 1538-7887 |
| DOI: | 10.2991/jsta.2013.12.1.9 |
| Popis: | In this article we introduce new classes of life distributions namely new better (worse) than used in expectation at specific age t0 NBUE-t0 (NWUE-t0) and harmonic new better (worse) than used in expectation at specific age t0 HNBUE-t0 (HNWUE-t0). The closure properties under various reliability operations such as convolution, mixture, mixing and the homogeneous Poisson shock model of these classes are studied. Furthermore, nonparametric tests are proposed to test exponentiality versus the NBUE-t0 and HNBUE-t0 classes. The critical values and the powers of this tests are calculated to assess the performance of the tests. It is shown that the proposed tests have high efficiencies for some commonly used distributions in reliability. Sets of real data are used as examples to elucidate the use of the proposed tests for practical problems. |
| Databáze: | OpenAIRE |
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