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Articles

Estimating powers of the scale parameters under order restriction for two shifted exponential populations with a common location

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Pages 6614-6648 | Received 23 Nov 2022, Accepted 09 Aug 2023, Published online: 11 Sep 2023

References

  • Arshad, M., and A. Baklizi. 2019. Estimation of common location parameter of two exponential populations based on records. Communications in Statistics- Theory and Methods 48 (6):1545–52. doi: 10.1080/03610926.2018.1435805.
  • Barlow, R. E., D. J. Bartholomew, J. M. Bremner, and H. D. Brunk. 1972. Statistical inference under order restrictions: The Theory and Application of Isotonic Regression. New York: John Wiley.
  • Blumenthal, S., and A. Cohen. 1968. Estimation of two ordered translation parameters. The Annals of Mathematical Statistics 39 (2):517–30. doi: 10.1214/aoms/1177698414.
  • Brewster, J.-F., and J. Zidek. 1974. Improving on equivariant estimators. The Annals of Statistics 2 (1): 21–38. doi: 10.1214/aos/1176342610.
  • Cohen, A., and H. B. Sackrowitz. 1970. Estimation of the last mean of a monotone sequence. The Annals of Mathematical Statistics 41 (6):2021–34. doi: 10.1214/aoms/1177696702.
  • Garg, N., and N. Misra. 2022. Estimation of order restricted location/scale parameters of a general bivariate distribution under general loss function: some unified results. Japanese Journal of Statistics and Data Science 5:553–76. doi: 10.1007/s42081-022-00168-w.
  • Ghosh, M., and A. Razmpour. 1984. Estimation of the common location parameter of several exponentials. Sankhyā: The Indian Journal of Statistics, Series A 46 (3):383–94.
  • Jana, N., and S. Kumar. 2015. Estimation of ordered scale parameters of two exponential distributions with a common guarantee time. Mathematical Methods of Statistics 24 (2):122–34. doi: 10.3103/S1066530715020039.
  • Jena, A. K., and M. R. Tripathy. 2019a. Bayesian estimation of common scale parameter of two exponential populations with order restricted locations. American Journal of Mathematical and Management Sciences 38 (3):277–89. doi: 10.1080/01966324.2018.1534629.
  • Jena, A. K., and M. R. Tripathy. 2019b. Estimating ordered quantiles of two exponential populations with a common minimum guarantee time. Communications in Statistics- Theory and Methods 48 (14):3570–85. doi: 10.1080/03610926.2018.1478100.
  • Jin, C., and R. H. Crouse. 1998. A note on the common location parameter of several exponential populations. Communications in Statistics- Theory and Methods 27 (11):2777–89. doi: 10.1080/03610929808832254.
  • Jin, C., and N. Pal. 1991. A note on the location parameters of two exponential distributions under order restrictions. Communications in Statistics- Theory and Methods 20 (10):3147–58. doi: 10.1080/03610929108830693.
  • Kushary, D, and A. Cohen. 1989. Estimating ordered location and scale parameters. Statistics and Risk Modeling 7 (3):201–14. doi: 10.1524/strm.1989.7.3.201.
  • Madi, M., and K.-W. Tsui. 1990. Estimation of the common scale of several shifted exponential distributions with unknown locations. Communications in Statistics- Theory and Methods 19 (6):2295–313. doi: 10.1080/03610929008830321.
  • Madi, M. T., and T. Leonard. 1996. Bayesian estimation for shifted exponential distributions. Journal of Statistical Planning and Inference 55 (3):345–51. doi: 10.1016/S0378-3758(95)00199-9.
  • 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.
  • Pal, N., and D. Kushary. 1992. On order restricted location parameters of two exponential distributions. Statistics and Risk Modeling 10 (1-2):133–52. doi: 10.1524/strm.1992.10.12.133.
  • Pal, N., and B. Sinha. 1990. Estimation of a common location of several exponentials. Statistics and Risk Modeling 8 (1):27–36. doi: 10.1524/strm.1990.8.1.27.
  • Patra, L. K., and S. Kumar. 2018. Estimating the common hazard rate of two exponential distributions with ordered location parameters. Statistics 52 (5):1040–59. doi: 10.1080/02331888.2018.1495210.
  • Robertson, T., F. Wright, and R. Dykstra. 1988. Order restricted statistical inference, New York: John Wiley.
  • Sackrowitz, H. 1970. Estimation for monotone parameter sequences: The discrete case. The Annals of Mathematical Statistics 41 (2):609–20. doi: 10.1214/aoms/1177697101.
  • Sackrowitz, H. 1982. Procedures for improving the mle for ordered binomial parameters. Journal of Statistical Planning and Inference 6 (3):287–96. doi: 10.1016/0378-3758(82)90032-5.
  • Sackrowitz, H., and W. Strawderman. 1974. On the admissibility of the MLE for ordered binomial parameters. The Annals of Statistics 2 (4):822–8. doi: 10.1214/aos/1176342771.
  • Sharma, D. 1977. Estimation of the reciprocal of the scale parameter in a shifted exponential distribution. Sankhyā: The Indian Journal of Statistics, Series A 39 (2):203–5.
  • Tripathy, M. R. 2015. Equivariant estimation of common location parameter of two exponential populations using censored samples. Hacettepe Journal of Mathematics and Statistics 45 (74):1307–20. doi: 10.15672/HJMS.20157411600.
  • Tripathy, M. R., S. Kumar, and N. Misra. 2014. Estimating the common location of two exponential populations under order restricted failure rates. American Journal of Mathematical and Management Sciences 33 (2):125–46. doi: 10.1080/01966324.2014.908331.
  • Vijayasree, G., N. Misra, and H. Singh. 1995. Componentwise estimation of ordered parameters of k(≥2) exponential populations. Annals of the Institute of Statistical Mathematics 47 (2):287–307. doi: 10.1007/BF00773464.
  • Zidek, J. V. 1973. Estimating the scale parameter of the exponential distribution with unknown location. The Annals of Statistics 1 (2):264–78. doi: 10.1214/aos/1176342364.

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