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Characterization of the Inverse Exponential-Type Distribution Based on Recurrence Relations for Dual Generalized Order Statistics

by M. A. W. Mahmoud, Y. Abdel-aty, N. M. Mohamed
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 91 - Number 14
Year of Publication: 2014
Authors: M. A. W. Mahmoud, Y. Abdel-aty, N. M. Mohamed
10.5120/15946-4911

M. A. W. Mahmoud, Y. Abdel-aty, N. M. Mohamed . Characterization of the Inverse Exponential-Type Distribution Based on Recurrence Relations for Dual Generalized Order Statistics. International Journal of Computer Applications. 91, 14 ( April 2014), 1-7. DOI=10.5120/15946-4911

@article{ 10.5120/15946-4911,
author = { M. A. W. Mahmoud, Y. Abdel-aty, N. M. Mohamed },
title = { Characterization of the Inverse Exponential-Type Distribution Based on Recurrence Relations for Dual Generalized Order Statistics },
journal = { International Journal of Computer Applications },
issue_date = { April 2014 },
volume = { 91 },
number = { 14 },
month = { April },
year = { 2014 },
issn = { 0975-8887 },
pages = { 1-7 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume91/number14/15946-4911/ },
doi = { 10.5120/15946-4911 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:12:42.763828+05:30
%A M. A. W. Mahmoud
%A Y. Abdel-aty
%A N. M. Mohamed
%T Characterization of the Inverse Exponential-Type Distribution Based on Recurrence Relations for Dual Generalized Order Statistics
%J International Journal of Computer Applications
%@ 0975-8887
%V 91
%N 14
%P 1-7
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, new recurrence relations satisfied by the single and product moments using moment generating function of dual generalized order statistics from inverse exponential-type distribution are established. Recurrence relations for single and product moments of reversed order statistics and lower record value are obtained as special cases. Further, using a recurrence relation for single moments we obtain characterization of inverse exponential-type distribution.

References
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  2. Khan, U. and Kumer, D. (2010). On moments of lower generalized order statistics from exponentiated Pareto distribution and its characterization, Journal of applied Mathematical Sciences, 4, 2711-2722.
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  5. Pawlas, P. and Szynal, D. (2001). Recurrence relations for single and product moments of lower generalized order from the inverse Weibull distribution, Journal of Demonstratio Mathematica, 34-2, 2, 353-358.
  6. Khan, R. U. , Anwar, Z. and Athar, H. (2008). Recurrence relations for single and product moments of dual generalized order statistics from exponentiated Weibull distribution, Aligarh journal of Statistics, 28,37-45.
  7. Al-Hussaini, E. K. , Ahmad, A. A. and Al-Kashif, M. A. (2005). Recurrence relations for moment and conditional moment generating functions of generalized order statistics, Metrika, 61, 2, 199-220.
  8. Hwang, J. S. and Lin, G. D. (1984). On a generalized moments problem II, Journal ofProceedings American Mathematical Society, 91, 577-580.
Index Terms

Computer Science
Information Sciences

Keywords

Dual generalized order statistics moment generating function recurrence relations single moments product moments inverse exponential form and characterization.

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