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.