60
Views
3
CrossRef citations to date
0
Altmetric
Articles

Testing equality of quantiles of two-parameter exponential distributions under progressive Type II censoring

& ORCID Icon
Pages 776-793 | Received 09 Dec 2017, Accepted 04 May 2018, Published online: 25 Jun 2018

References

  • Abdollahnezhad, K., and A. A. Jafari. 2017. Testing the equality of quantiles for several normal populations. Communications in Statistics - Simulation and Computation. doi:10.1080/03610918.2017.1332209.
  • Albers, W., and P. Löhnberg. 1984. An approximate confidence interval for the difference between quantiles in a bio-medical problem. Statistica Neerlandica 38 (1):20–22. doi:10.1111/j.1467-9574.1984.tb01093.x.
  • Balakrishnan, N., and R. Aggarwala. 2000. Progressive censoring: Theory, methods, and applications. Boston: Birkhäuser.
  • Balakrishnan, N., and E. Cramer. 2014. The art of progressive censoring: Applications to reliability and quality. New York: Birkhäuser.
  • Balakrishnan, N., A. J. Hayter, W. Liu, and S. Kiatsupaibul. 2015. Confidence intervals for quantiles of a two-parameter exponential distribution under progressive Type-II censoring. Communications in Statistics - Theory and Methods 44 (14):3001–10. doi:10.1080/03610926.2013.813051.
  • Campbell, M. G., and S. M. Rudolfer. 1981. Large sample inference for diagnostic normal limits in Gaussian populations. Department of Mathematics, University of Manchester. Research Report No.79/SMR/8/MGC/2.
  • Cochran, W. G. 1937. Problems arising in the analysis of a series of similar experiments. Supplement to the Journal of the Royal Statistical Society 4 (1):102–18. doi:10.2307/2984123.
  • Cox, T. F., and K. Jaber. 1985. Testing the equality of two normal percentiles. Communications in Statistics - Simulation and Computation 14 (2):345–56. doi:10.1080/03610918508812443.
  • Dawid, A. P., and M. Stone. 1982. The functional-model basis of fiducial inference. The Annals of Statistics 10 (4):1054–67. doi:10.1214/aos/1176345970.
  • Fisher, R. A. 1935. The fiducial argument in statistical inference. Annals of Human Genetics 6 (4):391–98.
  • Guo, H., and K. Krishnamoorthy. 2005. Comparison between two quantiles: The normal and exponential cases. Communications in Statistics - Simulation and Computation 34 (2):243–52. doi:10.1081/SAC-200055639.
  • Hannig, J. 2009. On generalized fiducial inference. Statistica Sinica 19:491–544.
  • Hannig, J., H. Iyer, and P. Patterson. 2006. Fiducial generalized confidence intervals. Journal of the American Statistical Association 101 (473):254–69. doi:10.1198/016214505000000736.
  • Hill, N., A. Padmanabhan, and M. L. Puri. 1988. Adaptive nonparametric procedures and applications. Applied Statistics 37 (2):205–18. doi:10.2307/2347340.
  • Hsieh, H. 1986. An exact test for comparing location parameters of k exponential distributions with unequal scales based on type II censored data. Technometrics 28 (2):157–64.
  • Huang, L.-F., and R. A. Johnson. 2006. Confidence regions for the ratio of percentiles. Statistics and Probability Letters 76 (4):384–92. doi:10.1016/j.spl.2005.08.034.
  • Jafari, A. A. 2015. Inferences on the coefficients of variation in a multivariate normal population. Communications in Statistics-Theory and Methods 44 (12):2630–43. doi:10.1080/03610926.2013.788711.
  • Jafari, A. A., and M. R. Kazemi. 2013. A parametric bootstrap approach for the equality of coefficients of variation. Computational Statistics 28 (6):2621–39. doi:10.1007/s00180-013-0421-x.
  • Johnson, R. A., and L.-F. Huang. 2003. Some exact and approximate confidence regions for the ratio of percentiles from two different distributions. In Mathematical and statistical methods in reliability, eds. B. Lindqvist, and K. Doksum, 455–68. Singapore: World Scientific.
  • Kharrati-Kopaei, M., and E. Kharati-Koopaei. 2016. A note on the multiple comparisons of exponential location parameters with several controls under heteroscedasticity. Hacettepe Journal of Mathematics and Statistics Accepted for publication. doi:10.15672/HJMS.201612718540.
  • Krishnamoorthy, K., F. Lu, and T. Mathew. 2007. A parametric bootstrap approach for ANOVA with unequal variances: Fixed and random models. Computational Statistics & Data Analysis 51 (12):5731–42. doi:10.1016/j.csda.2006.09.039.
  • Krishnamoorthy, K., and Y. Xia. 2017. Confidence intervals for a two-parameter exponential distribution: One-and two-sample problems. Communications in Statistics - Theory and Methods. doi:10.1080/03610926.2017.1313983.
  • Li, X. 2009. A generalized p-value approach for comparing the means of several log-normal populations. Statistics & Probability Letters 79 (11):1404–08. doi:10.1016/j.spl.2009.03.004.
  • Li, X., L. Tian, J. Wang, and J. R. Muindi. 2012. Comparison of quantiles for several normal populations. Computational Statistics and Data Analysis 56 (6):2129–38. doi:10.1016/j.csda.2012.01.002.
  • Li, X., J. Wang, and H. Liang. 2011. Comparison of several means: A fiducial based approach. Computational Statistics & Data Analysis 55 (5):1993–2002. doi:10.1016/j.csda.2010.12.009.
  • Malekzadeh, A., M. Kharrati-Kopaei, and S. Sadooghi-Alvandi. 2014. Comparing exponential location parameters with several controls under heteroscedasticity. Computational Statistics 29 (5):1083–94. doi:10.1007/s00180-014-0481-6.
  • Maurya, V., A. Goyal, and A. N. Gill. 2011a. Multiple comparisons with more than one control for exponential location parameters under heteroscedasticity. Communications in Statistics-Simulation and Computation 40 (5):621–44. doi:10.1080/03610918.2010.549988.
  • Maurya, V., A. Goyal, and A. N. Gill. 2011b. Simultaneous testing for the successive differences of exponential location parameters under heteroscedasticity. Statistics & Probability Letters 81 (10):1507–17. doi:10.1016/j.spl.2011.05.010.
  • Paolino, D. S. 2010. Exact inference for the p th-quantile and the reliability of the two-parameter exponential distribution with singly Type II censoring: A standard approach. Communications in Statistics - Theory and Methods 39 (14):2561–72. doi:10.1080/03610920903068174.
  • Rudolfer, S. M., and M. G. Campbell. 1985. Large sample inference for diagnostic normal limits in Gaussian populations. Communications in Statistics - Theory and Methods 14 (8):1801–35. doi:10.1080/03610928508829015.
  • Sadooghi-Alvandi, S. M., and A. A. Jafari. 2013. A parametric bootstrap approach for one-way ANCOVA with unequal variances. Communications in Statistics - Theory and Methods 42 (14):2473–98. doi:10.1080/03610926.2011.625486.
  • Sadooghi-Alvandi, S. M., A. A. Jafari, and H. A. Mardani-Fard. 2012. One-way ANOVA with unequal variances. Communications in Statistics-Theory and Methods 41 (22):4200–21. doi:10.1080/03610926.2011.573160.
  • Singh, R. S., and N. Kumar. 2011. Lower confidence bounds for the probabilities of correct selection. Journal of Probability and Statistics Article ID 765058. doi:10.1155/2011/765058.
  • Tian, L., C. Ma, and A. Vexler. 2009. A parametric bootstrap test for comparing heteroscedastic regression models. Communications in Statistics-Simulation and Computation 38 (5):1026–36. doi:10.1080/03610910902737077.
  • Tsui, K. W., and S. Weerahandi. 1989. Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters. Journal of the American Statistical Association 84 (406):602–07.
  • Viveros, R., and N. Balakrishnan. 1994. Interval estimation of parameters of life from progressively censored data. Technometrics 36 (1):84–91. doi:10.1080/00401706.1994.10485403.
  • Weerahandi, S. 1993. Generalized confidence intervals. Journal of the American Statistical Association 88 (423):899–905. doi:10.1080/01621459.1993.10476355.
  • Wu, S.-F. 2010. Interval estimation for the two-parameter exponential distribution under progressive censoring. Quality & Quantity 44 (1):181–89. doi:10.1007/s11135-008-9187-6.
  • Wu, S.-F., and -C.-C. Wu. 2005. Two stage multiple comparisons with the average for exponential location parameters under heteroscedasticity. Journal of Statistical Planning and Inference 134 (2):392–408. doi:10.1016/j.jspi.2004.04.015.
  • Xu, J., and X. Li. 2016. A fiducial p-value approach for comparing heteroscedastic regression models. Communications in Statistics-Simulation and Computation. doi:10.1080/03610918.2016.1255966.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.