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Research Articles

Improved estimators of hazard rate from a selected exponential population

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Pages 4927-4943 | Received 05 Apr 2022, Accepted 22 Mar 2023, Published online: 13 Apr 2023

References

  • Arshad, M., and N. Misra. 2017. On estimating the scale parameter of the selected uniform population under the entropy loss function. Brazilian Journal of Probability and Statistics 31 (2):303–19. doi: 10.1214/16-BJPS314.
  • Arshad, M., N. Misra, and P. Vellaisamy. 2015. Estimation after selection from gamma populations with unequal known shape parameters. Journal of Statistical Theory and Practice 9 (2):395–418. doi: 10.1080/15598608.2014.912601.
  • Bahadur, R. R., and L. A. Goodman. 1952. Impartial decision rules and sufficient statistics. The Annals of Mathematical Statistics 23 (4):553–62. doi: 10.1214/aoms/1177729334.
  • Brewster, J.-F., and J. V. Zidek. 1974. Improving on equivariant estimators. The Annals of Statistics 2 (1):21–38. doi: 10.1214/aos/1176342610.
  • Eaton, M. L. 1967. Some optimum properties of ranking procedures. The Annals of Mathematical Statistics 38 (1):124–37. doi: 10.1214/aoms/1177699063.
  • Ghosh, M., and A. Razmpour. 1984. Estimation of the common location parameter of several exponentials. The Indian Journal of Statistics, Series A 46 (3):383–94.
  • Gupta, S. S., and S. Panchapakesan. 2002. Multiple decision procedures: Theory and methodology of selecting and ranking populations. Society for Industrial and Applied Mathematics.
  • Jha, B. K., A. K. Mahapatra, and S. Kayal. 2020. Estimation of hazard rate of a selected exponential population. Journal of Statistical Theory and Practice 14 (3):1–27. doi: 10.1007/s42519-020-00112-9.
  • Jha, B. K., A. K. Mahapatra, and S. Kayal. 2021. Inadmissibility results for the selected hazard rates. Statistics 55 (3):580–94. doi: 10.1080/02331888.2021.1954924.
  • Kumar, S., and A. Kar. 2001. Minimum variance unbiased estimation of quantile of a selected exponential population. American Journal of Mathematical and Management Sciences 21 (1-2):183–91. doi: 10.1080/01966324.2001.10737545.
  • Kumar, S., A. K. Mahapatra, and P. Vellaisamy. 2009. Reliability estimation of the selected exponential populations. Statistics and Probability Letters 79 (11):1372–7. doi: 10.1016/j.spl.2009.02.012.
  • Lehmann, E. L. 1966. On a theorem of Bahadur and Goodman. The Annals of Mathematical Statistics 37 (1):1–6. doi: 10.1214/aoms/1177699593.
  • Liese, F., and K.-J. Miescke. 2008. Statistical decision theory: Estimation testing, and selection. New York, NY: Springer.
  • Mahapatra, A. K., S. Kumar, and P. Vellaisamy. 2012. Simultaneous estimation of hazard rates of several exponential populations. Statistica Neerlandica 66 (2):121–32. doi: 10.1111/j.1467-9574.2011.00499.x.
  • Misra, N., S. Kumar, E. C. Van Der Meulen, and Y. M. Tripathi. 2005. A subset selection procedure for selecting the exponential population having the longest mean lifetime when the guarantee times are the same. Communications in Statistics-Theory and Methods 34 (7):1555–69. doi: 10.1081/STA-200063209.
  • Misra, N., E. C. Van Der Meulen, and K. V. Branden. 2006a. On estimating the scale parameter of the selected gamma population under the scale invariant squared error loss function. Journal of Computational and Applied Mathematics 186 (1):268–82. doi: 10.1016/j.cam.2005.03.074.
  • Misra, N., E. C. Van Der Meulen, and K. V. Branden. 2006b. On some inadmissibility results for the scale parameters of selected gamma populations. Journal of Statistical Planning and Inference 136 (7):2340–51. doi: 10.1016/j.jspi.2005.08.020.
  • Nematollahi, N., and F. M. Shariati. 2009. Estimation of the scale parameter of the selected gamma population under the entropy loss function. Communications in Statistics-Theory and Methods 38 (2):208–21. doi: 10.1080/03610920802187422.
  • Parsian, A., and N. Nematollahi. 1996. Estimation of scale parameter under entropy loss function. Journal of Statistical Planning and Inference 52 (1):77–91. doi: 10.1016/0378-3758(95)00026-7.
  • Sharma, D. 1977. Estimation of the reciprocal of the scale parameter in a shifted exponential distribution. Sankhya: The Indian Journal of Statistics, Series A 39 (2):203–5.
  • Vellaisamy, P. 1992. Inadmissibility results for the selected scale parameters. The Annals of Statistics 20 (4):2183–91. doi: 10.1214/aos/1176348913.
  • Vellaisamy, P. 1996. A note on the estimation of the selected scale parameters. Journal of Statistical Planning and Inference 55 (1):39–46. doi: 10.1016/0378-3758(95)00178-6.
  • Vellaisamy, P. 2003. Quantile estimation of the selected exponential population. Journal of Statistical Planning and Inference 115 (2):461–70. doi: 10.1016/S0378-3758(02)00156-8.
  • Vellaisamy, P., and A. P. Punnen. 2002. Improved estimators for the selected location parameters. Statistical Papers 43 (2):291–9. doi: 10.1007/s00362-002-0102-2.

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