Recurrence relations for conditional moment generating functions of order statistics and record values

• Autorzy: Essam K. AL-Hussaini , Abd EL-Baset A. Ahmad , Hanan H. El-Boghdady
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

order statistics; record values; conditional moment generating functions; conditional moments; recurrence relations

Kategorie tematyczne

• 62E10: Characterization and structure theory
• 62G30: Order statistics; empirical distribution functions

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2005
• Tom: 25
• Numer: 2
• Strony: 181-205

Daty

wydano

2005

otrzymano

2004-04-20

Twórcy

autor

Essam K. AL-Hussaini

• Department of Statistics and O.R., Kuwait University, Kuwait

autor

Abd EL-Baset A. Ahmad

• Mathematics Department, Faculty of Science, University of Assiut, Egypt

autor

Hanan H. El-Boghdady

• Mathematics Department, Faculty of Science, University of Assiut, Egypt

Bibliografia

• [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.
• [2] M. Ahsanullah, Record Statistics, Nova Science Publishers, Inc., Huntington 1995.
• [3] M. Ahsanullah and V. Nevzorov, Ordered Random Variables, Nova Science Publishers, Inc., Huntington 2001.
• [4] E.K. AL-Hussaini, Predicting observables from a general class of distributions, J. Statist. Plann. Inf. 79 (1999), 79-91.
• [5] E.K. AL-Hussaini and A.A. Ahmad, On Bayesian interval prediction of future records, Test 12 (2003a), 79-99.
• [6] E.K. AL-Hussaini and A.A. Ahmad, On Bayesian predictive distributions of generalized order statistics, Metrika 57 (2003b), 165-176.
• [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.
• [8] E.K. AL-Hussaini, A.A. Ahmad and H.H. El-Boghdady, Recurrence relations for moment generating functions of record values, (2004b) submitted.
• [9] E.K. AL-Hussaini and M.I. Osman, On the median of finite mixtures, J. Statist. Comput. Simul. 58 (1997), 121-144.
• [10] B.C Arnold, N. Balakrishnan and H.N. Nagaraja, A First Course in Order Statistics, Wiley, New York 1992.
• [11] B.C Arnold, N. Balakrishnan and H.N. Nagaraja, Records, Wiley, New York 1998.
• [12] N. Balakrishnan and A.C. Cohen, Order Statistics Estimation Methods, Academic Press, Boston 1991.
• [13] David, Order Statistics, First Edition, Wiley, New York 1970.
• [14] David, Order Statistics, Second Edition, Wiley, New York 1981.
• [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).
• [16] J.S. Hwang and G.D. Lin, Extensions of Müntz Szàsz theorem and applications, Analysis 4 (1984), 143-160.
• [17] R.D. Reiss, Approximate Distributions of Order Statistics with Applications to Nonparametric Statistics, Springer Verlag, Berlin 1989.
• [18] A.E. Sarhan and B.G. Greenberg, Contributions to Order Statistics, (eds) Wiley, New York 1962.

Identyfikatory

DOI

10.7151/dmps.1068