The aim of this paper is to study the estimation of parameter of Burr Type XI distribution on the basis of lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes and empirical Bayes estimators of the unknown parameter are derived under entropy loss function. Finally, the admissibility and inadmissibility of a class of inverse linear estimators are discussed.
| Published in | American Journal of Theoretical and Applied Statistics (Volume 5, Issue 6) |
| DOI | 10.11648/j.ajtas.20160506.13 |
| Page(s) | 348-353 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Admissibility, Bayes and Empirical Bayes Estimators, Record Values, Entropy Loss Function
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APA Style
Lanping Li. (2016). Admissibility Estimation of Burr Type XI Distribution Under Entropy Loss Function Based on Record Values. American Journal of Theoretical and Applied Statistics, 5(6), 348-353. https://doi.org/10.11648/j.ajtas.20160506.13
ACS Style
Lanping Li. Admissibility Estimation of Burr Type XI Distribution Under Entropy Loss Function Based on Record Values. Am. J. Theor. Appl. Stat. 2016, 5(6), 348-353. doi: 10.11648/j.ajtas.20160506.13
AMA Style
Lanping Li. Admissibility Estimation of Burr Type XI Distribution Under Entropy Loss Function Based on Record Values. Am J Theor Appl Stat. 2016;5(6):348-353. doi: 10.11648/j.ajtas.20160506.13
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Download@article{10.11648/j.ajtas.20160506.13,
author = {Lanping Li},
title = {Admissibility Estimation of Burr Type XI Distribution Under Entropy Loss Function Based on Record Values},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {5},
number = {6},
pages = {348-353},
doi = {10.11648/j.ajtas.20160506.13},
url = {https://doi.org/10.11648/j.ajtas.20160506.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20160506.13},
abstract = {The aim of this paper is to study the estimation of parameter of Burr Type XI distribution on the basis of lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes and empirical Bayes estimators of the unknown parameter are derived under entropy loss function. Finally, the admissibility and inadmissibility of a class of inverse linear estimators are discussed.},
year = {2016}
}
TY - JOUR T1 - Admissibility Estimation of Burr Type XI Distribution Under Entropy Loss Function Based on Record Values AU - Lanping Li Y1 - 2016/10/25 PY - 2016 N1 - https://doi.org/10.11648/j.ajtas.20160506.13 DO - 10.11648/j.ajtas.20160506.13 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 348 EP - 353 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.20160506.13 AB - The aim of this paper is to study the estimation of parameter of Burr Type XI distribution on the basis of lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes and empirical Bayes estimators of the unknown parameter are derived under entropy loss function. Finally, the admissibility and inadmissibility of a class of inverse linear estimators are discussed. VL - 5 IS - 6 ER -
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