Recurrence relations for conditional moment generating functions of order statistics and record values
Essam K. AL-Hussaini ; Abd EL-Baset A. Ahmad ; Hanan H. El-Boghdady
Discussiones Mathematicae Probability and Statistics, Tome 25 (2005), p. 181-205 / Harvested from The Polish Digital Mathematics Library

In this paper, recurrence relations for conditional moment generating functions and conditional moments of order statistics and record values based on random samples drawn from members of a class of doubly truncated distributions Ád are obtained.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:287662
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     title = {Recurrence relations for conditional moment generating functions of order statistics and record values},
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     year = {2005},
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Essam K. AL-Hussaini; Abd EL-Baset A. Ahmad; Hanan H. El-Boghdady. Recurrence relations for conditional moment generating functions of order statistics and record values. Discussiones Mathematicae Probability and Statistics, Tome 25 (2005) pp. 181-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1068/

[000] [1] A.A. Ahmad and M.A. Fawzy, Recurrence relations for single moments of generalized order statistics from doubly truncated distributions, J. Statist. Plann. Inf. 117 (2003), 241-249. | Zbl 1021.62002

[001] [2] M. Ahsanullah, Record Statistics, Nova Science Publishers, Inc., Huntington 1995.

[002] [3] M. Ahsanullah and V. Nevzorov, Ordered Random Variables, Nova Science Publishers, Inc., Huntington 2001.

[003] [4] E.K. AL-Hussaini, Predicting observables from a general class of distributions, J. Statist. Plann. Inf. 79 (1999), 79-91. | Zbl 0933.62018

[004] [5] E.K. AL-Hussaini and A.A. Ahmad, On Bayesian interval prediction of future records, Test 12 (2003a), 79-99. | Zbl 1040.62014

[005] [6] E.K. AL-Hussaini and A.A. Ahmad, On Bayesian predictive distributions of generalized order statistics, Metrika 57 (2003b), 165-176. | Zbl 06493821

[006] [7] E.K. AL-Hussaini, A.A. Ahmad and H.H. El-Boghdady, Recurrence relations for moment generating functions of order statistics, Metron LXII (2004a), 85-99.

[007] [8] E.K. AL-Hussaini, A.A. Ahmad and H.H. El-Boghdady, Recurrence relations for moment generating functions of record values, (2004b) submitted.

[008] [9] E.K. AL-Hussaini and M.I. Osman, On the median of finite mixtures, J. Statist. Comput. Simul. 58 (1997), 121-144. | Zbl 0872.62091

[009] [10] B.C Arnold, N. Balakrishnan and H.N. Nagaraja, A First Course in Order Statistics, Wiley, New York 1992. | Zbl 0850.62008

[010] [11] B.C Arnold, N. Balakrishnan and H.N. Nagaraja, Records, Wiley, New York 1998.

[011] [12] N. Balakrishnan and A.C. Cohen, Order Statistics Estimation Methods, Academic Press, Boston 1991.

[012] [13] David, Order Statistics, First Edition, Wiley, New York 1970.

[013] [14] David, Order Statistics, Second Edition, Wiley, New York 1981.

[014] [15] H.L. Harter, Order Statistics and Their Use in Testing and Decision, U.S. Governmemt Printing Office, Washington D.C. (Vol. 1 and 2, 1970).

[015] [16] J.S. Hwang and G.D. Lin, Extensions of Müntz Szàsz theorem and applications, Analysis 4 (1984), 143-160. | Zbl 0564.42016

[016] [17] R.D. Reiss, Approximate Distributions of Order Statistics with Applications to Nonparametric Statistics, Springer Verlag, Berlin 1989. | Zbl 0682.62009

[017] [18] A.E. Sarhan and B.G. Greenberg, Contributions to Order Statistics, (eds) Wiley, New York 1962. | Zbl 0102.35204