Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower  Record Values

Lanping Li

doi:doi:10.11648/j.sjams.20160406.16

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Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower Record Values

Lanping Li

Published in Science Journal of Applied Mathematics and Statistics (Volume 4, Issue 6)

Received: 9 October 2016 Accepted: 20 October 2016 Published: 14 November 2016

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Abstract

This paper will study the estimation of parameter of Topp-Leone distribution based on lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes estimator is derived under symmetric loss function and further the empirical Bayes estimators is also obtained based on marginal probability density of record sample and maximum likelihood method. Finally, the admissibility and inadmissibility of a generally class of inverse linear estimators are also discussed.

Published in	Science Journal of Applied Mathematics and Statistics (Volume 4, Issue 6)
DOI	10.11648/j.sjams.20160406.16
Page(s)	284-288
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

Keywords

Admissibility, Bayes and Empirical Bayes Estimators, Record Values, Symmetric Entropy Loss Function

References

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Lanping Li. (2016). Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower Record Values. Science Journal of Applied Mathematics and Statistics, 4(6), 284-288. https://doi.org/10.11648/j.sjams.20160406.16

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ACS Style

Lanping Li. Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower Record Values. Sci. J. Appl. Math. Stat. 2016, 4(6), 284-288. doi: 10.11648/j.sjams.20160406.16

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AMA Style

Lanping Li. Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower Record Values. Sci J Appl Math Stat. 2016;4(6):284-288. doi: 10.11648/j.sjams.20160406.16

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@article{10.11648/j.sjams.20160406.16,
  author = {Lanping Li},
  title = {Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower  Record Values},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {4},
  number = {6},
  pages = {284-288},
  doi = {10.11648/j.sjams.20160406.16},
  url = {https://doi.org/10.11648/j.sjams.20160406.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20160406.16},
  abstract = {This paper will study the estimation of parameter of Topp-Leone distribution based on lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes estimator is derived under symmetric loss function and further the empirical Bayes estimators is also obtained based on marginal probability density of record sample and maximum likelihood method. Finally, the admissibility and inadmissibility of a generally class of inverse linear estimators are also discussed.},
 year = {2016}
}

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TY  - JOUR
T1  - Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower  Record Values
AU  - Lanping Li
Y1  - 2016/11/14
PY  - 2016
N1  - https://doi.org/10.11648/j.sjams.20160406.16
DO  - 10.11648/j.sjams.20160406.16
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 284
EP  - 288
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20160406.16
AB  - This paper will study the estimation of parameter of Topp-Leone distribution based on lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes estimator is derived under symmetric loss function and further the empirical Bayes estimators is also obtained based on marginal probability density of record sample and maximum likelihood method. Finally, the admissibility and inadmissibility of a generally class of inverse linear estimators are also discussed.
VL  - 4
IS  - 6
ER  -

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Author Information

Lanping Li

Department of Basic Subjects, Hunan University of Finance and Economics, Changsha, China

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APA Style

Lanping Li. (2016). Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower Record Values. Science Journal of Applied Mathematics and Statistics, 4(6), 284-288. https://doi.org/10.11648/j.sjams.20160406.16

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ACS Style

Lanping Li. Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower Record Values. Sci. J. Appl. Math. Stat. 2016, 4(6), 284-288. doi: 10.11648/j.sjams.20160406.16

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AMA Style

Lanping Li. Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower Record Values. Sci J Appl Math Stat. 2016;4(6):284-288. doi: 10.11648/j.sjams.20160406.16

Copy | Download

@article{10.11648/j.sjams.20160406.16,
  author = {Lanping Li},
  title = {Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower  Record Values},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {4},
  number = {6},
  pages = {284-288},
  doi = {10.11648/j.sjams.20160406.16},
  url = {https://doi.org/10.11648/j.sjams.20160406.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20160406.16},
  abstract = {This paper will study the estimation of parameter of Topp-Leone distribution based on lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes estimator is derived under symmetric loss function and further the empirical Bayes estimators is also obtained based on marginal probability density of record sample and maximum likelihood method. Finally, the admissibility and inadmissibility of a generally class of inverse linear estimators are also discussed.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower  Record Values
AU  - Lanping Li
Y1  - 2016/11/14
PY  - 2016
N1  - https://doi.org/10.11648/j.sjams.20160406.16
DO  - 10.11648/j.sjams.20160406.16
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 284
EP  - 288
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20160406.16
AB  - This paper will study the estimation of parameter of Topp-Leone distribution based on lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes estimator is derived under symmetric loss function and further the empirical Bayes estimators is also obtained based on marginal probability density of record sample and maximum likelihood method. Finally, the admissibility and inadmissibility of a generally class of inverse linear estimators are also discussed.
VL  - 4
IS  - 6
ER  -

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