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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1068, author = {Essam K. AL-Hussaini and Abd EL-Baset A. Ahmad and Hanan H. El-Boghdady}, title = {Recurrence relations for conditional moment generating functions of order statistics and record values}, journal = {Discussiones Mathematicae Probability and Statistics}, volume = {25}, year = {2005}, pages = {181-205}, zbl = {1102.62050}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1068} }
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