Shrinkage Testimators for the Shape Parameter of Pareto Distribution Using LINEX Loss Function

In this article, shrinkage testimators for the shape parameter of a Pareto distribution are considered, when its prior guess value is available. The choices of shrinkage factor are also suggested. The proposed testimators are compared with the minimum risk estimator among the class of unbiased estim...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2007-03, Vol.36 (4), p.741-753
Main Authors: Singh, D. C., Prakash, Gyan, Singh, P.
Format: Article
Language:English
Subjects:
Exact sciences and technology
General topics
Level of significance
Linear inference, regression
LINEX loss function
Mathematics
Mean square error
Pareto distribution
Primary 62F03
Probability and statistics
Sciences and techniques of general use
Secondary 62F04, 62F10
Shrinkage factor and shrinkage testimator
Statistics
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Summary:In this article, shrinkage testimators for the shape parameter of a Pareto distribution are considered, when its prior guess value is available. The choices of shrinkage factor are also suggested. The proposed testimators are compared with the minimum risk estimator among the class of unbiased estimators with the LINEX loss function.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610920601033694