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Statistics
A Journal of Theoretical and Applied Statistics
Volume 57, 2023 - Issue 3
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Research Article

Estimating reciprocals of scale parameters of two exponential populations with common location and ordered scales using censored samples

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Pages 710-739 | Received 31 Jul 2022, Accepted 28 Apr 2023, Published online: 15 May 2023

References

  • Balakrishnan N, Cramer E. The art of progressive censoring: applications to reliability and quality. New York: Birkhäuser; 2014.
  • Barlow RE, Bartholomew DJ, Bremner JM, et al. Statistical inference under order restrictions: the theory & application of isotonic regression. New York: Wiley; 1972.
  • Robertson T, Wright FT, Dykstra KL. Order restricted statistical inference. New York: Wiley; 1988.
  • Kaur A, Singh H. On the estimation of ordered means of two exponential populations. Ann Inst Stat Math. 1991;43(2):347–356.
  • Misra N, Singh H. Estimation of ordered location parameters: the exponential distribution. Stat A J Theor Appl Stat. 1994;25(3):239–249.
  • Pal N, Kushary D. On order restricted location parameters of two exponential distributions. Stat & Risk Model. 1992;10(1-2):133–152.
  • Vijayasree G, Singh H. Simultaneous estimation of two ordered exponential parameters. Commun Stat Theory & Methods. 1991;20(8):2559–2576.
  • Tripathy MR. Improved estimation of common location of two exponential populations with order restricted scale parameters using censored samples. Commun Stat- Simul Comput. 2018;47(9):2800–2818.
  • Tripathy MR, Kumar S, Misra N. Estimating the common location of two exponential populations under order restricted failure rates. Am J Math Manag Sci. 2014;33(2):125–146.
  • Jena AK, Tripathy MR. Estimating ordered scale parameters of two exponential populations with a common location under type-II censoring. Chil J Stat. 2017;8(1):87–101.
  • Mahapatra A, Kumar S, Vellaisamy P. Simultaneous estimation of hazard rates of several exponential populations. Stat Neerl. 2012;66(2):121–132.
  • Patra LK, Kumar S. Estimating the common hazard rate of several exponential distributions. Commun Stat Theory Methods. 2019;48(19):4861–4873.
  • Sharma D. Estimation of the reciprocal of the scale parameter in a shifted exponential distribution. Sankhyā: Indian J Stat Ser A. 1977;39(2):203–205.
  • Tripathi YM, Petropoulos C, Mahto AK. Estimating the scale parameter of an exponential distribution under progressive type-II censoring. Commun Stat Theory & Methods. 2022;51(19):6777–6791.
  • Brewster J-F, Zidek J. Improving on equivariant estimators. Ann. Stat.. 1974;2(1):21–38.
  • Ghosh M, Razmpour A. Estimation of the common location parameter of several exponentials. Sankhyā: Indian J Stat Ser A. 1984;46(3):383–394.
  • Razmpour A. Estimation of Common Location and Scale Parameters in Nonregular Cases [PhD Dissertation]. Iowa State University; 1982.
  • Saraçoğlu B, Kinaci I, Kundu D. On estimation of R=P(Y<X) for exponential distribution under progressive type-II censoring. J Stat Comput Simul. 2012;82(5):729–744.
  • Chandrasekar B, Leo Alexander T, Balakrishnan N. Equivariant estimation for parameters of exponential distributions based on type-II progressively censored samples. Commun. Stat. Theory Methods. 2002;31(10):1675–1686.

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