Skip to content
IJAMR International Journal of Applied Mathematical Research E-ISSN 2227-4324

Moments from Progressive Type-II Censored Data of Marshall-Olkin Exponential Distribution

Authors and Affiliations

About this article

DOI
https://doi.org/10.14419/ijamr.v1i4.216
Received
11-07-2012
Accepted
08-08-2012
Published
03-10-2012
Views
655
Downloads
255
Download PDF

Abstract

Marshall-Olkin exponential distribution has been  studied by Salah, et, al. (2008).  In this paper, we derive several recurrence relations satisfied by the single moments and product moments of progressive type-II censored order statistics from Marshall-Olkin exponential distribution.  These relations may then be used to compute all means, variances and covariances of progressive type-II censored ordered statistics based on Marshall-Olkin exponential distribution for arbitrary censoring scheme. 

Author Biography

  • Mukhtar Mohammad Salah, Al-Quds Open University
    Assistant Professor, Department of Mathematics,

References

[1] A. W. Marshall and I. Olkin, A New Method for Adding a Parameter to a Family of Distributions with Application to the Exponential and Weibull Families, Biometrika 84 (1997) 641-652.

[2] B. Pradhan and D. Kundu, On Progressively Censored Generalized Exponential Distribution, Test 18 (2009) 497-515.

[3] K. S. Sultan, M. R. Mahmoud, and H. M. Saleh, Moments of Estimation from Progressively Censored Data of the Half Logistic Distribution, International Journal of Reliability and Applications 7(2) (2006) 187-201. 786 Mukhtar Salah

[4] M. E. Ghitany, E. K. Al-Hussaini and R. A. A-Jarallah, Marshall-Olkin Extended Weibull Distribution and its Application to Censored Data, Journal of Applied Statistics 32(10) (2005) 1025-1034.

[5] M. M. Salah, On Marshall-Olkin Exponential Order Statistics and Associated Inferences, Ph.D Thesis, The University of Jordan, Amman, Jordan,2010.

View more references (6)

[6] M. M. Salah, M. Z. Raqab and M. Ahsanullah, Marshall-Olkin Exponential Distribution: Moments of Order Statistics, Journal of Applied Statistical Science 17(1) (2008), 81-92.

[7] M. Z. Raqab, Generalized Exponential Distribution: Moments of Order Statistics, Statistics 38 (1) (2004) 29-41.

[8] N. Balakrishnan, Order Statistics from the Half Logistic Distribution, Journal of Statistical Computation and Simulation 20 (1985) 287-309.

[9] N. Balakrishnan and A. C. Cohen, Order Statistics and Inference: Estimation Methods, Academic Press, Boston,1991.

[10] N. Balakrishnan, E. Cramer, U. Kamps and N. Schenk, Progressive TypeII Censored Order Statistics from Exponential Distributions, Statistics 35 (2001) 537-556.

[11] N. Balakrishnan and R. Aggarwala, Progressive Censoring: Theory, Method and Applications, Birkhauser, Boston, 2000.


How to Cite

Salah, M. M. (2012). Moments from Progressive Type-II Censored Data of Marshall-Olkin Exponential Distribution. International Journal of Applied Mathematical Research, 1(4), 771-786. https://doi.org/10.14419/ijamr.v1i4.216

Related Articles