Marshall-Olkin family of distribution: additional properties and comparative studies
DOI:
https://doi.org/10.5269/bspm.53071Abstract
In this paper we will study the relationship between the baseline pdf and the corresponding MO pdf, we will show the effectiveness on the percentile points, also we will give a closed form for the MLE estimator of the new parameter and will study some examples.
References
1. Alice, T. and Jose, K .K., Multivariate Minification Processes, STARS Int.Journal 3, 1-9, (2002).
2. Alice, T. and Jose, K. K., Marshall-Olkin Pareto Processes, Far East Journal of Theoretical Statistics 9(2), 117-132, (2003).
3. Alice, T. and Jose, K. K., Bivariate semi-Pareto minification Processes, Metrica 59, 305-313, (2004). https://doi.org/10.1007/s001840300287
4. Alice, T. and Jose, K. K., Marshall-Olkin Pareto distributions and its reliability applications, IAPQR Trans. 29(1), 1-9, (2004).
5. Alice, T. and Jose, K. K., Marshall-Olkin Exponential Time series modelling, STARS Int. Journal 5(1), 12-22, (2004).
6. Cox, D. R., Regression models and life tables, Journal of Stat. Soc. B 34, 187-220, (1972). https://doi.org/10.1111/j.2517-6161.1972.tb00899.x
7. Ghitany, M. E, AL-Hussaini, E. K and AL-Jarallah, R. A., Marshall-Olkin Extended Weibull distribution and its application to Censored data, Journal of Applied Statistics 32(10), 1025-1034, (2005). https://doi.org/10.1080/02664760500165008
8. Ghitany, M. E., Kotz, S., Reliability properties of Extended linear failure-rate distributions, Probability in the Engineering and informational Sciencess 21, 441-450, (2007). https://doi.org/10.1017/S0269964807000071
9. Gupta, R. C., Ghitany, M.E., Al-Mutairi, D. K., Estimation of reliability from Marshall-Olkin extended Lomax distribution, Journal of Statistical Computation and Simulation 80(8), 937-947, (2010). https://doi.org/10.1080/00949650902845672
10. Jayakumar, K., Kuttykrishnan, A. P., Time series model using Asymmetric Laplace distribution, Statistics and Probability letters 76, 813-820, (2006).
11. Jayakumar, K. and Thomas Mathew, On a generalisation to Marshall-Olkin scheme and its application to Burr type XII distribution, Statistical Papers, preprint, (2006). https://doi.org/10.1007/s00362-006-0024-5
12. Jose, K. K., Alice, T., Marshall-Olkin Generalised Weibull distributions and applications, STARS int.Journal 2, 1-8, (2001).
13. Jose, K. K., Alice, T., Marshall-Olkin Family of Distrbutions: Applications in Time series Modelling and Reliability, J.C Publications,Palakkad, (2005).
14. Jose, K. K., Naik, S. R., Ristic, M. M., Marshall-Olking-Weibull distribution and max-min process, Statistical Papers 51, 837-851, (2010). https://doi.org/10.1007/s00362-008-0173-9
15. Marshall, A. N., Olkin, I., A new method for adding a parameter to a family of distributions with applications to the exponential and Weibull families, Biometrica 84,641-652, (1997). https://doi.org/10.1093/biomet/84.3.641
2. Alice, T. and Jose, K. K., Marshall-Olkin Pareto Processes, Far East Journal of Theoretical Statistics 9(2), 117-132, (2003).
3. Alice, T. and Jose, K. K., Bivariate semi-Pareto minification Processes, Metrica 59, 305-313, (2004). https://doi.org/10.1007/s001840300287
4. Alice, T. and Jose, K. K., Marshall-Olkin Pareto distributions and its reliability applications, IAPQR Trans. 29(1), 1-9, (2004).
5. Alice, T. and Jose, K. K., Marshall-Olkin Exponential Time series modelling, STARS Int. Journal 5(1), 12-22, (2004).
6. Cox, D. R., Regression models and life tables, Journal of Stat. Soc. B 34, 187-220, (1972). https://doi.org/10.1111/j.2517-6161.1972.tb00899.x
7. Ghitany, M. E, AL-Hussaini, E. K and AL-Jarallah, R. A., Marshall-Olkin Extended Weibull distribution and its application to Censored data, Journal of Applied Statistics 32(10), 1025-1034, (2005). https://doi.org/10.1080/02664760500165008
8. Ghitany, M. E., Kotz, S., Reliability properties of Extended linear failure-rate distributions, Probability in the Engineering and informational Sciencess 21, 441-450, (2007). https://doi.org/10.1017/S0269964807000071
9. Gupta, R. C., Ghitany, M.E., Al-Mutairi, D. K., Estimation of reliability from Marshall-Olkin extended Lomax distribution, Journal of Statistical Computation and Simulation 80(8), 937-947, (2010). https://doi.org/10.1080/00949650902845672
10. Jayakumar, K., Kuttykrishnan, A. P., Time series model using Asymmetric Laplace distribution, Statistics and Probability letters 76, 813-820, (2006).
11. Jayakumar, K. and Thomas Mathew, On a generalisation to Marshall-Olkin scheme and its application to Burr type XII distribution, Statistical Papers, preprint, (2006). https://doi.org/10.1007/s00362-006-0024-5
12. Jose, K. K., Alice, T., Marshall-Olkin Generalised Weibull distributions and applications, STARS int.Journal 2, 1-8, (2001).
13. Jose, K. K., Alice, T., Marshall-Olkin Family of Distrbutions: Applications in Time series Modelling and Reliability, J.C Publications,Palakkad, (2005).
14. Jose, K. K., Naik, S. R., Ristic, M. M., Marshall-Olking-Weibull distribution and max-min process, Statistical Papers 51, 837-851, (2010). https://doi.org/10.1007/s00362-008-0173-9
15. Marshall, A. N., Olkin, I., A new method for adding a parameter to a family of distributions with applications to the exponential and Weibull families, Biometrica 84,641-652, (1997). https://doi.org/10.1093/biomet/84.3.641
Downloads
Published
2022-02-07
Issue
Section
Proceedings
License
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
