Five New Stochastic Ageing Concepts | ||||
| The Egyptian Statistical Journal | ||||
| Article 4, Volume 33, Issue 2, December 1989, Page 199-211 | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.1989.316540 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Abdelhamid A. Alzaid; Abdul-Hadi N. Ahmed | ||||
| Abstract | ||||
| Using a unified approach, five new classes of ageing (together with their duals), useful in biology, reliability theory and economics, are introduced. They are named stochastically increasing failure rate average (SIFRA), stochastically decreasing mean residual life (SDMRL), stochastically new better than used in expectation (SNBUE) and stochastically harmonic new better than used in expectation (SHNBUE). Basic connections among these classes and their relationships with the well known concepts IFRA (DFRA), DMRL (IMRL), NBUE (NWUE) and HNBUE (HNWUE) are established. Poisson shock models based on these new classes are discussed. The SIFR and SNBU classes introduced in Singh and Deshpande (1985), Scand. J. Statist. 12, 213-220 are shown to be consistent with our unified approach. | ||||
| Keywords | ||||
| Ageing Classes; Consistency; Poisson Shock Models; Stochastic Ageing Concepts; Unified Approach | ||||
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Statistics Article View: 21 |
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