Parameters Estimation Based on Progressively Censored Data from Inverse Weibull Distribution
American Journal of Theoretical and Applied Statistics
Volume 2, Issue 6, November 2013, Pages: 149-153
Received: Sep. 4, 2013;
Published: Sep. 30, 2013
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Mostafa M. MohieEl-Din, Dept. of Mathematics, Faculty of Science, Al-Azhar University, Egypt
Fathy H. Riad, Dept. of Mathematics, Faculty of Science, Minia University, Egypt
Mohamed A. El-Sayed, Dept. of Mathematics, Faculty of Science in Qena, South Valley University, Egypt; Dept of CS, CIT College, Taif University, KSA
In this article, our main aim is to investigate the parameters estimation of inverse Weibull distribution in the frame work of progressively type II. We consider the censored sample from a two parameters inverse Weibull. The point estimators of the parameters derived by using the maximum likelihood method. The exact joint confidence region and confidence interval for the parameters are obtained. A numerical example is provided to illustrate the proposed. estimation methods developed here.
Mostafa M. MohieEl-Din,
Fathy H. Riad,
Mohamed A. El-Sayed,
Parameters Estimation Based on Progressively Censored Data from Inverse Weibull Distribution, American Journal of Theoretical and Applied Statistics.
Vol. 2, No. 6,
2013, pp. 149-153.
A. C. Cohen, Progressively censored samples in life testing. Techno metrics, 5, 327-339, (1963).
N. R. Mann, Best linear invariant estimation for Weibull parameters under progressive censoring, Technometrics, 13, 521-533, (1971).
J. Y. Wong, Simultaneously estimating the three Weibull parameters from progressively censored samples, Microelectronics and Reliability, 33, 2217- 2224, (1993).
N. Balakrishnan, and R. Aggarwala, Progressive Censoring-Theory, Methods, and Applications, Birkhauser, Boston, SBN 978-0-8176-4001-9 e-book package (2000).
Wu. Shuo-Jye Estimation of the parameters of the weibull distribution with progressively censored data, Journal of Japan Statistical Society, 2, 155-163, (2002).
W. B. Nelson, Applied Life Data Analysis. John Wiley & Sons, New York, (1982).
R. Calaria, and G. Pulcini, On the maximum likelihood and least-squares estimation in the inverse Weibull distributions. Statistical Application, 2(1), 53-66, (1990).
M. Maswedah, Conditional confidence interval estimation for the inverse Weibull distribution based on censored generalized order statistics. Journal of Statisticl Computation and Simulation, 73, 887-898, (2003).
R. Dumonceaux, and C. E. Antle, Discrimination between the lognormal and Weibull distribution. Techno metrics, 15, 923-926, (1973).
N. L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions. Vol. 2, second edition. John Wiley & Sons New York, (1995).
D. N. P. Murthy, M. Xie, and R. Jiang, Weibull Model. John Wiley & Sons, New York, (2004).
M. M, Mohie El-Din,,and F. H. Riad, Estimation and Prediction for the Inverse Weibull Distribution Based on Records, Journal of Advanced Research in Statistics and Probability (JARSP), 3(2), 20 – 27, (2011).
P. Erto, New Practical Bayes estimators for the 2-Parameter Weibull distribution, IEEE Transactions on Reliability R-31, 194-197, (1982),
M. Marušić, , D. Marković, and D. Jukić , Least squares fitting the three-parameter inverse Weibull density, Math. Commun., Vol. 15, No. 2, pp. 539-553, (2010).
D. R. Thomas, and W. M. Wilson, Linear order statistic estimation for the two parameter Weibull and extreme value distribution from type-II progressively censored samples, Technometrics, 14, 679-691, (1972).