Interval and Point Estimators for the Location Parameter of the Three-Parameter Lognormal Distribution
Joint Authors
Source
International Journal of Quality, Statistics, and Reliability
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-08
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Economics & Business Administration
Economy
Abstract EN
The three-parameter lognormal distribution is the extension of the two-parameter lognormal distribution to meet the need of the biological, sociological, and other fields.
Numerous research papers have been published for the parameter estimation problems for the lognormal distributions.
The inclusion of the location parameter brings in some technical difficulties for the parameter estimation problems, especially for the interval estimation.
This paper proposes a method for constructing exact confidence intervals and exact upper confidence limits for the location parameter of the three-parameter lognormal distribution.
The point estimation problem is discussed as well.
The performance of the point estimator is compared with the maximum likelihood estimator, which is widely used in practice.
Simulation result shows that the proposed method is less biased in estimating the location parameter.
The large sample size case is discussed in the paper.
American Psychological Association (APA)
Chen, Zhenmin& Miao, Feng. 2012. Interval and Point Estimators for the Location Parameter of the Three-Parameter Lognormal Distribution. International Journal of Quality, Statistics, and Reliability،Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-506349
Modern Language Association (MLA)
Chen, Zhenmin& Miao, Feng. Interval and Point Estimators for the Location Parameter of the Three-Parameter Lognormal Distribution. International Journal of Quality, Statistics, and Reliability No. 2012 (2012), pp.1-6.
https://search.emarefa.net/detail/BIM-506349
American Medical Association (AMA)
Chen, Zhenmin& Miao, Feng. Interval and Point Estimators for the Location Parameter of the Three-Parameter Lognormal Distribution. International Journal of Quality, Statistics, and Reliability. 2012. Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-506349
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506349