216
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

On moments of dual generalized order statistics from Topp-Leone distribution

&
Pages 479-492 | Received 26 May 2017, Accepted 29 Nov 2017, Published online: 04 Jan 2018

References

  • Abd-Elfattah, A. M., A. S. Hassan, and S. G. Nassr. 2013. Maximum likelihood estimation of the parameters for exponentiated Weibull Poisson distribution based on generalized order statistics, Proceeding of the 48th Annual Conference of Statistics. Computer Sciences and Operation Research, 40–56. ISSR, Cairo University.
  • Abo-Elfotouh, S., and M. N. Nassar. 2011. Estimation for the parameters of the Weibull extension model based on generalized order statistics. Int. J. Contemp. Math. Sci. 6 (36):1749–60.
  • Ahmad, A. A. 2008. Single and product moments of generalized order statistics from linear exponential distribution. Commun. Statist. - Theory Meth. 37 (8):1162–172.
  • Ahsanullah, M. 2004. A characterization of the uniform distribution by dual generalized order statistics. Comm. Statist. Theory Meth. 33:2921–928.
  • Ahsanullah, M., and M. Shakil. 2014. A note on a characterization of J-Shaped distribution by truncated moment. Appl. Math. Sci. 8:5801–12.
  • Athar, H., and M. Faizan. 2011. Moments of lower generalized order statistics from power function distribution and its characterization. Int. J. Stat. Sci. 11:125–34.
  • Athar, H., H. M. Islam, and M. Yaqub. 2007. On ratio and inverse moments of generalized order statistics from Weibull distribution. J. Appl. Statist. Sci. 16 (1):37–46.
  • Athar, H., Nayabuddin, Khwaja, S. K. 2012. Expectation identities of Pareto distribution based on generalized order statistics and its characterization. American Journal of Applied Mathematics and Mathematical Sciences 1 (1):23–29 .
  • Barakat, H. M., and M. E. El-Adll. 2009. Asymptotic theory of extreme dual generalized order statistics. Stat. Probabil. Lett. 79:1252–59.
  • Bayoud, H. A. 2015. Admissible minimax estimators for the shape parameter of Topp-Leone distribution. Commun. Statist. Theory Meth. 45 (1):71–82.
  • Burkschat, M., E. Cramer, and U. Kamps. 2003. Dual generalized order statistics. Metron LXI:13–26.
  • Cramer, E., and U. Kamps. 2000. Relations for expectations of functions of generalized order statistics. J. Statist. Plann. Inference 89:79–89.
  • El-Sayed, M. A., G. A. Abd-Elmongod, and S. Abdel-Khalek. 2013. Bayesian and non-bayesian estimation of Topp-Leone distribution based on lower record values. Far East J. Theor. Stat. 45:133–45.
  • Genç, A. İ. 2012. Moments of order statistics of Topp-Leone distribution. Statist. Papers 53 (1):117–31.
  • Ghitany, M. E., S. Kotz, and M. Xie. 2005. On some reliability measures and their stochastic orderings for the Topp-Leone distribution. J. Appl. Stat. 32 (7):715–22.
  • Jaheen, Z. F. 2005. Estimation based on generalized order statistics from the Burr model. Commun. Statist. Theory Meth. 34 (4):785–94.
  • Jaheen, Z. F., and M. M. Al Harbi. 2011. Bayesian estimation based on dual generalized order statistics from the exponentiated Weibull model. J. Stat. Theory Appl. 10 (4):591–602.
  • Kamps, U. 1995. A concept of generalized order statistics. Germany: Teubner, Stuttgart.
  • Khan, A. H., and M. J. S. Khan. 2012. On ratio and inverse moments of generalized order statistics from Burr distribution. Pakistan J. Statist. 28 (1):59–68.
  • Khan, M. J. S., and M. Arshad. 2016. UMVU estimation of reliability function and stressstrength reliability from proportional reversed hazard family based on lower records. Amer. J. Math. Management Sci. 35 (2):171–81.
  • Khan, A. H., Z. Anwar, and S. Chisti. 2010. Characterization of continuous distributions through conditional expectation of functions of dual generalized order statistics. Pak. J. Stat. 26:615–28.
  • Khan, R. U., Z. Anwar, and H. Athar. 2008. Recurrence relations for single and product moments of dual generalized order from exponentiated Weibull distribution. Aligarh J. Statist. 28:37–45.
  • Khan, R. U., and D. Kumar. 2010. On moments of lower generalized order statistics from exponentiated Pareto distribution and its characterization. Appl. Math. Sci. (Ruse) 4:2711–22.
  • Khan, R. U., and D. Kumar. 2011. Expectation identities of lower generalized order statistics from generalized exponential distribution and a characterization. Math. Methods Stat. 20:150–57.
  • Khan, R. U., and M. A. Khan. 2015. Dual generalized order statistics from family of J-shaped distribution and its characterization. J. King Saud Univ. Sci. 27:285–91.
  • Li, L. 2016. Bayes estimation of Topp-Leone distribution under symmetric entropy loss function based on lower record values. Science J. Appl. Math. Statist. 4 (6):284–88.
  • Malinowska, I., P. Pawlas, and D. Szynal. 2006. Estimation of location and scale parameters for the Burr XII distribution using generalized order statistics. Linear Algebra and Its Applications 417:150–62.
  • Mathai, A. M. and R. K. Saxena. 1973. Generalized hypergeometric functions with applications in statistics and physical science. Lecture Notes in Mathematics, 348, Berlin: Springer-Verlag.
  • Mbah, A. K., and M. Ahsanullah. 2007. Some characterization of the power function distribution based on lower generalized order statistics. Pakistan J. Statist. 23:139–46.
  • MirMostafaee, S. M. T. K. 2014. On the moments of order statistics coming from the Topp-Leone distribution. Statist. Probab. Lett. 95:85–91.
  • Moghadam, M. S., F. Yaghmaei, and M. Babanezhad. 2012. Inference for Lomax distribution under generalized order statistics. Appl. Math. Sci. 6 (105):5241–51.
  • Nadarajah, S. and S. Kotz. 2003. Moments of some J-shaped distributions. J. Appl. Statist. 30:311–17.
  • Pawlas, P. and D. Szynal. 2001a. Recurrence relations for single and product moments of lower generalized order from the inverse Weibull distribution. Demonstratio Mathematica 34 (2):353–58.
  • Pawlas, P. and D. Szynal. 2001b. Recurrence relations for single and product moments of generalized order from Pareto, generalized Pareto and Burr distribution. Commun. Statist. Theory Meth. 30 (4):739–46.
  • Prudnikov, A. P., Y. A. Brychkov, and O. I. Marichev. 1990. Integeral and series. Vol. 3. Amsterdam: Gordon and Breach Science Publishers.
  • Safi, S. K. and R. H. Ahmed. 2013. Statistical estimation based on generalized order statistics from Kumaraswamy distribution. Proceeding of the 14th Applied Stochastic Models and Data Analysis (ASMDA) International Conference, Mataro (Barcelona), Spain, 25–28.
  • Saran, J., and A. Pandey. 2012. Recurrence relations for marginal and joint moment generating functions of dual generated order statistics from power function distribution. Pakistan J. Statist. 2:231–38.
  • Saran, J. and N. Pandey. 2003. Recurrence relations for marginal and joint moment generating functions of generalized order statistics from power function distribution. Metron. LXI (1):27–33.
  • Saran, J., N. Pushkaran, and R. Tiwari. 2014. Recurrence relations for single and product moments of dual generalized order statistics from a general class of distributions. J. Stat. Theory Appl. 14 (2):123–30.
  • Srivastava, H. M. and P. W. Karlsson. 1985. Multiple gaussian hypergeometric series. New York: John Wiley and Sons.
  • Topp, C. W., and F. C. Leone. 1955. A family of J-shaped frequency functions. J. Amer. Statist. Assoc. 50:209–19.
  • Zghoul, A. A. 2010. Order statistics from a family of J-shaped distributions. Metron 68 (2):127–36.
  • Zghoul, A. A. 2011. Record values from a family of J-shaped distributions. Statistica 71 (3):355–65.

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.