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Articles

A consistent method of estimation for three-parameter generalized exponential distribution

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Pages 2471-2487 | Received 01 Jul 2020, Accepted 20 Mar 2021, Published online: 19 Apr 2021

References

  • Bain, L. J., and M. Engelhardt. 1987. Introduction to probability and mathematical statistics. USA: Brooks/Cole.
  • Billingsley, P. 2008. Probability and measure. Delhi: Kay Kay Printers.
  • Clifford Cohen, A., and B. Jones Whitten. 1982. Modified moment and maximum likelihood estimators for parameters of the three-parameter gamma distribution. Communications in Statistics - Simulation and Computation 11 (2):197–216. doi:10.1080/03610918208812254.
  • Cohen, A. C., and B. J. Whitten. 1980. Estimation in the three-parameter lognormal distribution. Journal of the American Statistical Association 75 (370):399–404. doi:10.1080/01621459.1980.10477484.
  • Cohen, C. A., and B. Whitten. 1982. Modified maximum likelihood and modified moment estimators for the three-parameter weibull distribution. Communications in Statistics - Theory and Methods 11 (23):2631–56. doi:10.1080/03610928208828412.
  • Cohen, A. C., B. J. Whitten, and Y. Ding. 1984. Modified moment estimation for the three-parameter weibull distribution. Journal of Quality Technology 16 (3):159–67. doi:10.1080/00224065.1984.11978908.
  • Ghitany, M., R. Al-Jarallah, and N. Balakrishnan. 2013. On the existence and uniqueness of the mles of the parameters of a general class of exponentiated distributions. Statistics 47 (3):605–12. doi:10.1080/02331888.2011.614950.
  • Gupta, R. D., and D. Kundu. 1999. Theory & methods: Generalized exponential distributions. Australian & New Zealand Journal of Statistics 41 (2):173–88. doi:10.1111/1467-842X.00072.
  • Gupta, R. D., and D. Kundu. 2001. Exponentiated exponential family: An alternative to gamma and weibull distributions. Biometrical Journal 43 (1):117–30. doi:10.1002/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R.
  • Gupta, R. D., and D. Kundu. 2007. Generalized exponential distribution: Existing results and some recent developments. Journal of Statistical Planning and Inference 137 (11):3537–47. doi:10.1016/j.jspi.2007.03.030.
  • Hall, P., and J. Z. Wang. 2005. Bayesian likelihood methods for estimating the end point of a distribution. Journal of the Royal Statistical Society: Series B (Statistical Methodology) 67 (5):717–29. doi:10.1111/j.1467-9868.2005.00523.x.
  • Harter, H. L. 1973. Likelihood ratio test for discrimination between two models with unknown location and scale parameters: Discussion no. 2. Technometrics 15 (1):29–31. doi:10.2307/1266822.
  • Lehmann, E. L., and G. Casella. 2006. Theory of point estimation. New York: Springer Science & Business Media.
  • Mudholkar, G. S., D. K. Srivastava, and M. Freimer. 1995. The exponentiated weibull family: A reanalysis of the bus-motor-failure data. Technometrics 37 (4):436–45. doi:10.1080/00401706.1995.10484376.
  • Nagatsuka, H., and N. Balakrishnan. 2012. Parameter and quantile estimation for the three-parameter gamma distribution based on statistics invariant to unknown location. Journal of Statistical Planning and Inference 142 (7):2087–102. doi:10.1016/j.jspi.2012.01.018.
  • Nagatsuka, H., and N. Balakrishnan. 2013. A consistent method of estimation for the parameters of the three-parameter inverse Gaussian distribution. Journal of Statistical Computation and Simulation 83 (10):1915–31. doi:10.1080/00949655.2012.674130.
  • Nagatsuka, H., N. Balakrishnan, and T. Kamakura. 2014. A consistent method of estimation for the three-parameter gamma distribution. Communications in Statistics - Theory and Methods 43 (18):3905–26. doi:10.1080/03610926.2012.714035.
  • Nagatsuka, H., T. Kamakura, and N. Balakrishnan. 2013. A consistent method of estimation for the three-parameter weibull distribution. Computational Statistics & Data Analysis 58:210–26. doi:10.1016/j.csda.2012.09.005.
  • Pasari, S., and O. Dikshit. 2014. Three-parameter generalized exponential distribution in earthquake recurrence interval estimation. Natural Hazards 73 (2):639–56. doi:10.1007/s11069-014-1092-9.
  • Raqab, M. Z., M. T. Madi, and D. Kundu. 2008. Estimation of P(Y < X) for the three-parameter generalized exponential distribution. Communications in Statistics - Theory and Methods 37 (18):2854–64. doi:10.1080/03610920802162664.
  • Wang, J. Z. 2005. A note on estimation in the four-parameter beta distribution. Communications in Statistics - Simulation and Computation 34 (3):495–501. doi:10.1081/SAC-200068514.

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