Abstract
In this paper, a bivariate exponentiated generalized linear exponential distribution is proposed. Several of its statistical and reliability properties including quantiles, joint reliability function, stress-strength reliability, joint reversed (haz-ard) rate function and joint mean waiting time function are discussed. Moreover, the hazard rate, availability and mean residual lifetime functions for a parallel system are established. The model parameters are estimated using the maximum likelihood method. A simulation is performed to estimate the bias and mean square error for the model parameters. Finally, a real data set is analyzed to illustrate the flexibility of the proposed model.
| Original language | English |
|---|---|
| Pages (from-to) | 1-23 |
| Number of pages | 23 |
| Journal | Journal of Applied Probability and Statistics |
| Volume | 14 |
| Issue number | 2 |
| State | Published - Aug 2019 |
| Externally published | Yes |
Keywords
- Exponentiated generalized linear exponential distribution
- Joint hazard rate function
- Joint mean waiting time function
- Simulation