476
Views
4
CrossRef citations to date
0
Altmetric
Articles

Estimation of common location parameter of several heterogeneous exponential populations based on generalized order statistics

ORCID Icon, ORCID Icon & ORCID Icon
Pages 1798-1815 | Received 18 Oct 2019, Accepted 26 May 2020, Published online: 11 Jun 2020

References

  • Z.A. Aboeleneen, Inference for Weibull distribution under generalized order statistics, Math. Comput. Simul. 81 (2010), pp. 26–36. doi: 10.1016/j.matcom.2010.06.013
  • M. Ahsanullah, Record Statistics, Nova Science Publishers, New York, 1995.
  • M. Ahsanullah, Generalized order statistics from two parameter uniform distribution, Commun. Stat. Theory Methods 25 (1996), pp. 2311–2318. doi: 10.1080/03610929608831840
  • M. Ahsanullah, Generalized order statistics from exponential distribution, J. Stat. Plan. Inference. 85 (2000), pp. 85–91. doi: 10.1016/S0378-3758(99)00068-3
  • B. Arnold, N. Balakrishnan and H. Nagaraja, Records, John Wiley and Sons, New York, 1998.
  • M. Arshad and A. Baklizi, Estimation of common location parameter of two exponential populations based on records, Commun. Stat. Theory Methods 48 (2019), pp. 1545–1552. doi: 10.1080/03610926.2018.1435805
  • M. Arshad and Q.A. Jamal, Estimation of common scale parameter of several heterogeneous Pareto populations based on records, Iranian J. Sci. Technol. Trans. A Sci. 43 (2019), pp. 2315–2323. doi: 10.1007/s40995-019-00689-2
  • M. Arshad and Q.A. Jamal, Statistical inference for Topp–Leone generated family of distributions based on records, J. Stat. Theory Appl. 18 (2019), pp. 65–78.
  • S. Bedbur, E. Beutner, and U. Kamps, Generalized order statistics: An exponential family in model parameters, Statistics 46 (2012), pp. 159–166. doi: 10.1080/02331888.2010.498046
  • S. Bedbur and U. Kamps, Inference in a two-parameter generalized order statistics model, Statistics 51 (2017), pp. 1132–1142. doi: 10.1080/02331888.2017.1298107
  • J.F. Brewster and J.V. Zidek, Improving on equivariant estimators, Ann. Stat. 2 (1974), pp. 21–38. doi: 10.1214/aos/1176342610
  • M. Burkschat, Linear estimators and predictors based on generalized order statistics from generalized Pareto distributions, Commun. Stat. Theory Methods 39 (2010), pp. 311–326. doi: 10.1080/03610920902746630
  • K. Chandler, The distribution and frequency of record values, J. R. Stat. Soc. Ser. B (Methodol.) 14, no. 2 (1952), pp. 220–228.
  • W.-J. Chiou and A. Cohen, Estimating the common location parameter of exponential distributions with censored samples, Naval Res. Logist. Quart. 31 (1984), pp. 475–482. doi: 10.1002/nav.3800310312
  • H.A. David and H.N. Nagaraja, Order Statistics, 3rd ed., John Wiley & Sons, Hoboken, NJ, 2003.
  • D.K. De and P.-S.L. Liu, Improved estimation of the common scale parameter of several Pareto distributions, Calcutta Stat. Assoc. Bull. 42 (1992), pp. 177–190. doi: 10.1177/0008068319920303
  • M.M.M. El-Din and W.S. Emam, Prediction intervals for ordinary and dual generalized order statistics from two independent sequences, Commun. Stat. Simul. Comput. 47 (2018), pp. 1–21. doi: 10.1080/03610918.2017.1359284
  • A. Elfessi and C. Jin, On robust estimation of the common scale parameter of several Pareto distributions, Stat. Probab. Lett. 29 (1996), pp. 345–352. doi: 10.1016/0167-7152(95)00190-5
  • M. Garg, On generalized order statistics from Kumaraswamy distribution, Tamsui Oxford J. Math. Sci. 25 (2009), pp. 153–166.
  • M. Ghosh and A. Razmpour, Estimation of the common location parameter of several exponentials, Sankhyā: Indian J. Stat. Ser. A 46 (1984), pp. 383–394.
  • N. Gupta and Q.A. Jamal, Inference for Weibull generalized exponential distribution based on generalized order statistics, J. Appl. Math. Comput. 61 (2019), pp. 573–592. doi: 10.1007/s12190-019-01263-0
  • M. Habibullah and M. Ahsanullah, Estimation of parameters of a Pareto distribution by generalized order statistics, Commun. Stat. Theory Methods 29 (2000), pp. 1597–1609. doi: 10.1080/03610920008832567
  • B. Handa and N. Kambo, Estimation of common parameter of several exponential distributions, Calcutta Stat. Assoc. Bull. 49 (1999), pp. 147–158. doi: 10.1177/0008068319990302
  • Z. Jaheen and M.M. Al Harbi, Bayesian estimation based on dual generalized order statistics from the exponentiated Weibull model, J. Stat. Theory Appl. 10 (2011), pp. 591–602.
  • Z.F. Jaheen, Estimation based on generalized order statistics from the Burr model, Commun. Stat. Theory Methods 34 (2005), pp. 785–794. doi: 10.1081/STA-200054408
  • C. Jin and R.H. Crouse, A note on the common location parameter of several exponential populations, Commun. Stat. Theory Methods 27 (1998), pp. 2777–2789. doi: 10.1080/03610929808832254
  • C. Jin and R.H. Crouse, An identity for exponential distributions with the common location parameter and its applications, Commun. Stat. Theory Methods 27 (1998), pp. 409–422. doi: 10.1080/03610929808832103
  • C. Jin and A. Elfessi, On the common scale parameter of several Pareto populations in censored samples, Commun. Stat. Theory Methods 30 (2001), pp. 451–462. doi: 10.1081/STA-100002091
  • C. Jin and N. Pal, On common location of several exponentials under a class of convex loss functions, Calcutta Stat. Assoc. Bull. 42 (1992), pp. 191–200. doi: 10.1177/0008068319920304
  • U. Kamps, A concept of generalized order statistics, J. Stat. Plan. Inference. 48 (1995), pp. 1–23. doi: 10.1016/0378-3758(94)00147-N
  • M. Khan and M. Arshad, UMVU estimation of reliability function and stress–strength reliability from proportional reversed hazard family based on lower records, Amer. J. Math. Manage. Sci. 35 (2016), pp. 171–181.
  • M. Khan and S. Iqrar, On moments of dual generalized order statistics from Topp-Leone distribution, Commun. Stat. Theory Methods 48 (2019), pp. 479–492. doi: 10.1080/03610926.2017.1414260
  • C. Kim, Estimation of generalized exponential distribution under dual generalized order statistics, Appl. Math. Sci. 10 (2016), pp. 2903–2919.
  • S. Kumar and D. Sharma, Estimating the common mean of a bivariate normal population, Australian J. Stat. 34 (1992), pp. 39–46. doi: 10.1111/j.1467-842X.1992.tb01041.x
  • J.F. Lawless, Statistical Models and Methods for Lifetime Data, Vol. 362, John Wiley & Sons, Hoboken, NJ, 2011.
  • I. Malinowska, P. Pawlas, and D. Szynal, Estimation of location and scale parameters for the Burr XII distribution using generalized order statistics, Linear Algebra. Appl. 417 (2006), pp. 150–162. doi: 10.1016/j.laa.2006.02.007
  • N. Pal and B.K. Sinha, Estimation of a common location of several exponentials, Stat. Risk Model. 8 (1990), pp. 27–36.
  • M.R. Tripathy, S. Kumar, and N. Misra, Estimating the common location of two exponential populations under order restricted failure rates, Amer. J. Math. Manage. Sci. 33 (2014), pp. 125–146.

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.