Bias Reduction for the Maximum Likelihood Estimator of the Scale Parameter in the Half-Logistic Distribution
AbstractWe derive an analytic expression for the bias, to O(n-1) of the maximum likelihood estimator of the scale parameter in the half-logistic distribution. Using this expression to bias-correct the estimator is shown to be very effective in terms of bias reduction, without adverse consequences for the estimator’s precision. The analytic bias-corrected estimator is also shown to be dramatically superior to the alternative of bootstrap-bias-correction.
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Bibliographic InfoPaper provided by Department of Economics, University of Victoria in its series Econometrics Working Papers with number 0901.
Length: 12 pages
Date of creation: 20 Jan 2009
Date of revision:
Note: ISSN 1485-6441
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More information through EDIRC
Half-logistic distribution; Life testing; Bias reduction;
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This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-01-24 (All new papers)
- NEP-DCM-2009-01-24 (Discrete Choice Models)
- NEP-ECM-2009-01-24 (Econometrics)
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- Adatia, A., 1997. "Approximate BLUEs of the parameters of the half logistic distribution based on fairly large doubly censored samples," Computational Statistics & Data Analysis, Elsevier, vol. 24(2), pages 179-191, April.
- Adatia, A., 2000. "Estimation of parameters of the half-logistic distribution using generalized ranked set sampling," Computational Statistics & Data Analysis, Elsevier, vol. 33(1), pages 1-13, March.
- Cordeiro, Gauss M. & Klein, Ruben, 1994. "Bias correction in ARMA models," Statistics & Probability Letters, Elsevier, vol. 19(3), pages 169-176, February.
- Balakrishnan, N. & Chan, P. S., 1992. "Estimation for the scaled half logistic distribution under Type II censoring," Computational Statistics & Data Analysis, Elsevier, vol. 13(2), pages 123-141, March.
Blog mentionsAs found by EconAcademics.org, the blog aggregator for Economics research:CitEc Project, subscribe to its RSS feed for this item.
- Jacob Schwartz & David E. Giles, 2011. "Biased-Reduced Maximum Likelihood Estimation for the Zero-Inflated Poisson Distribution," Econometrics Working Papers 1102, Department of Economics, University of Victoria.
- David E Giles & Hui Feng, 2011. "Reducing the bias of the maximum likelihood estimator for the Poisson regression model," Economics Bulletin, AccessEcon, vol. 31(4), pages 2933-2943.
- David E. Giles & Hui Feng, 2009. "Bias of the Maximum Likelihood Estimators of the Two-Parameter Gamma Distribution Revisited," Econometrics Working Papers 0908, Department of Economics, University of Victoria.
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