Exponentiated half logistic distribution: Different estimation methods and joint confidence regions |
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Authors: | Wenhao Gui |
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Affiliation: | Department of Mathematics, Beijing Jiaotong University, Beijing, China |
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Abstract: | In this article, we study the problem of estimating the unknown shape and scale parameters of the exponentiated half logistic distribution. For the maximum-likelihood estimation, we obtain a necessary and sufficient condition for the existence and uniqueness of maximum-likelihood estimates of the parameters. Inverse moment and modified inverse moment estimators are derived. Monte Carlo simulations are conducted to compare their performances. Two methods for constructing joint confidence regions for the two parameters are also proposed and their performances are discussed. A numerical example is presented to illustrate the methods. |
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Keywords: | Existence and uniqueness Exponentiated Half Logistic distribution Inverse moment estimators Joint confidence regions Maximum likelihood estimates Monte Carlo simulation |
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