Kamal Nain Kapoor. Recurrence Relations for Single and Product Moments of Generalized Order Statistics from Extreme Value Distribution.
. 2014; 2(2):77-82. doi: 10.12691/AJAMS-2-2-5
order statistics, record values, generalized order statistics, single moment, product moments, recurrence relations, extreme value distribution
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[1] | Athar, H., Kheaja S. K. and Nayabuddin (2012). Expectation identities of Pareto distribution based on generalized order statistics. American Journal of Applied Mathematics and Mathematical Sciences, 1, 23-29. |
|
[2] | Balakrishnan, N. (1985). Order statistics from the Half logistic distribution. J. Statist. Comp. Simul., 20, 287-309. |
|
[3] | Balakrishnan, N. and Joshi, P.C. (1984). Product moments of order statistics from doubly truncated exponential distribution. Naval Res. Logist. Quart, 31, 27-31. |
|
[4] | Balakrishnan, N. and Malik, H. J. (1986). Order statistics from linear exponential distribution, Part I: Increasing hazard rate case. Commun. Statist. – Theor. Meth. 15, 179-203. |
|
[5] | Joshi, P. C. (1978). Recurrence relations between moments of order statistics from exponential and truncated exponential distributions. Sankhya, Ser. B, 39, 362-371. |
|
[6] | Joshi, P. C. (1982). A note on mixed moments of order statistics from exponential and truncated exponential distributions. J. Statist. Plann. Inf., 6, 13-16. |
|
[7] | Kamps, U. (1995a). A concept of generalized order statistics. B. G. Teubner, Stuttgart. |
|
[8] | Kamps, U. (1995b). A concept of generalized order statistics. J. Statist. Plann. Inf., 48, 1-23. |
|
[9] | Kumar, D. (2010). Recurrence relations for single and product moments of generalized order statistics from pth order exponential distribution and its characterization, J. Statist. Res. Iran 7, 201-212. |
|
[10] | Mohie El-Din, M. M., Mahmoud, M. A. W., Abu-Youssef, S. E. and Sultan, K. S. (1997). Order statistics from the doubly truncated linear exponential distribution and its characterizations. Commun. Statist.- Simul. Comput. 26, 281-290. |
|
[11] | Nain, K. (2010 a). Recurrence relations for single and product moments of kth record values from generalized Weibull distribution and a characterization. International Mathematical Forum, 5, No. 33, 1645-1652. |
|
[12] | Nain, K. (2010 b). Recurrence relations for single and product moments of ordinary order statistics from pth order exponential distribution. International Mathematical Forum, 5, No. 34, 1653 – 1662. |
|
[13] | Pawlas, P. and Szynal, D. (2001). Recurrence relations for single and product moments of generalized order statistics from Pareto, Generalized Pareto and Burr distributions. Commun. Statist. Theor. Meth., 30, 739-746. |
|
[14] | Saran, J. and Nain, K. (2012a). Recurrence relations for single and product moments of generalized order statistics from doubly truncated pth order Exponential Distribution, JKSA 23. |
|
[15] | Saran, J. and Nain, K. (2012b). Relationships for moments of kth record values from doubly truncated pth order exponential and generalized Weibull distributions. ProbStat Forum., 05, 142-149. |
|
[16] | Saran, J. and Nain, K. (2012c). Relationships for moments of kth record values from doubly truncated pth order exponential and generalized Weibull distributions. ProbStat Forum., 05, 142-149. |
|
[17] | Saran, J and Nain, K (2013). Explicit Expressions for Single and Product Moments of Generalized Order Statistics from a New Class of Exponential Distributions Characterization, JKSA 24, 37-52. |
|
[18] | Saran, J. and Pandey, A. (2004). Recurrence relations for single and product moments of generalized order statistics from linear exponential distribution. Journal of Applied Statistical Science, 13, 323-333. |
|
[19] | Saran, J. and Pandey, A. (2009). Recurrence relations for single and product moments of generalized order statistics from linear exponential and Burr distributions. Journal of Statistical Theory and Applications, 8, No. 3, 383-391. |
|
[20] | Saran, J. and Pandey, A. (2011). Recurrence relations for marginal and joint moment generating functions of dual generalized order statistics from inverse Weibull distribution. Journal of Statistical Studies, 30, 65-72. |
|
[21] | Saran J. and Pande V.(2012). Recurrence relation for moments of progressively type-II right censored order statistics from half logistic distribution. J. Statistical Theory and Applications, 11, 87-96. |
|
[22] | Saran, J. and Pushkarna, N. (1999). Moments of order statistics from doubly truncated linear exponential distribution. J. Korean Statist. Soc., 28, 279-296. |
|