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Estimation of the Parameters of the Reversed Generalized Logistic Distribution with Progressive Censoring Data
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-18
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The reversed generalized logistic (RGL) distributions are very useful classes of densities as they posses a wide range of indices of skewness and kurtosis.
This paper considers the estimation problem for the parameters of the RGL distribution based on progressive Type II censoring.
The maximum likelihood method for RGL distribution yields equations that have to be solved numerically, even when the complete sample is available.
By approximating the likelihood equations, we obtain explicit estimators which are in approximation to the MLEs.
Using these approximate estimators as starting values, we obtain the MLEs using iterative method.
We examine numerically MLEs estimators and the approximate estimators and show that the approximation provides estimators that are almost as efficient as MLEs.
Also we show that the value of the MLEs decreases as the value of the shape parameter increases.
An exact confidence interval and an exact joint confidence region for the parameters are constructed.
Numerical example is presented in the methods proposed in this paper.
American Psychological Association (APA)
Abo-Eleneen, Z. A.& Nigm, E. M.. 2011. Estimation of the Parameters of the Reversed Generalized Logistic Distribution with Progressive Censoring Data. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-21.
https://search.emarefa.net/detail/BIM-479859
Modern Language Association (MLA)
Abo-Eleneen, Z. A.& Nigm, E. M.. Estimation of the Parameters of the Reversed Generalized Logistic Distribution with Progressive Censoring Data. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-21.
https://search.emarefa.net/detail/BIM-479859
American Medical Association (AMA)
Abo-Eleneen, Z. A.& Nigm, E. M.. Estimation of the Parameters of the Reversed Generalized Logistic Distribution with Progressive Censoring Data. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2010, no. 2010, pp.1-21.
https://search.emarefa.net/detail/BIM-479859
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479859