International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605
Volume 4, Issue 3, 2013 pp 81-89
Research Article
Exact Moments of Lower Generalized Order Statistics from Exponentiated Weibull Distribution and Its Characterization
R.U. Khan, Anamika Kulshrestha and D. Kumar
Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh-202 002, Uttar Pradesh, INDIA.
Academic Editor: Dr. Dase R.K.
Linked References
Ahsanullah, M. (2004): A characterization of the uniform distribution by dual generalized order statistics. Comm. Statist. Theory Methods, 33, 2921-2928.
Ahsanullah, M. (2005): On lower generalized order statistics and a characterization of power function distribution. Stat. Methods, 7, 16-28.
Athar, H., Khan, R.U. and Anwar, Z. (2010): Exact moments of lower generalized order statistics from power function distribution. Calcutta Statist. Assoc. Bull., 62, 245-246.
Balakrishnan, N. and Cohen, A.C. (1991): Order Statistics and Inference: Estimation Methods. Academic Press, San Diego.
Burkschat, M., Cramer, E. and Kamps, U. (2003): Dual generalized order statistics. Metron, LXI, 13-26.
Jiang, R. and Murthy, O.W.P. (1999): The exponentiated Weibull family: a graphical approach, IEEE Transaction Reliability, 48, 68-72.
Kamps, U. (1995): A concept of generalized order statistics. B.G. Teubner Stuttgart.
Khan, R.U. and Kumar, D. (2010): On moments of generalized order statistics from exponentiated Pareto distribution and its characterization. Appl. Math. Sci. (Ruse), 4, 2711-2722.
Khan, R.U. and Kumar, D. (2011): Expectation identities of lower generalized order statistics from generalized exponential distribution and a characterization. Math. Methods Statist., 20, 150-157.
Khan, R.U., Anwar, Z. and Athar, H. (2008): Recurrence relations for single and product moments of generalized order statistics from exponentiated Weibull distribution. Aligarh J. Statist., 28, 37-45.
Mbah, A.K. and Ahsanullah, M. (2007): Some characterization of the power function distribution based on lower generalized order statistics. Pakistan J. Statist., 23, 139-146.
Mudholkar, G.S. and Hutson, A.D. (1996): The exponentiated Weibull family: some properties and a flood data application. Comm. Statist. Theory Methods, 25, 3059-3083.
Mudholkar, G.S. and Srivastava, D.K. (1993): Exponentiated Weibull family for analyzing bathtub failure rate data, IEEE Transactions on Reliability, 42, 299-302.
Mudholkar, G.S., Srivastava, D.K. and Freimer, M. (1995): The exponentiated Weibull family. Technometrics, 37, 436-445.
Nassar, M.M. and Eissa, F.H. (2003): On exponentiated Weibull distribution. Comm. Statist. Theory Methods, 32, 1317-1336.
Pawlas, P. and Szynal, D. (2001): Recurrence relations for single and product moments of lower generalized order statistics from the inverse Weibull distribution. Demonstratio Math., XXXIV, 353-358.
Ruiz, S. M. (1996): An algebraic identity leading to Wilson’s theorem. Math. Gaz., 80, 579-582.
Copyrights statperson consultancy www
Copyrights
�
statperson consultancy www.statperson.com
2013. All Rights Reserved.