Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function

Guobing Fan

doi:doi:10.11648/j.ml.20180401.15

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Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function

Guobing Fan

Published in Mathematics Letters (Volume 4, Issue 1)

Received: 1 March 2018 Accepted: 27 March 2018 Published: 4 May 2018

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Abstract

The task of this paper is to estimate the lifetime performance index of Exponential distribution. A Bayesian test procedure is established under symmetric entropy loss function. Firstly, Bayesian estimation of life performance index is obtained, then a Bayesian test procedure for lifetime performance index is proposed. Finally, an applied example is used to illustrate the effectiveness of the proposed test method.

Published in	Mathematics Letters (Volume 4, Issue 1)
DOI	10.11648/j.ml.20180401.15
Page(s)	20-24
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), 2024. Published by Science Publishing Group

Keywords

Lifetime Performance Index, Bayesian Test, Exponential Distribution, Symmetric Entropy Loss Function

References

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[11]	Lee W C, Hong C W, Wu J W. Computational procedure of performance assessment of lifetime index of normal products with fuzzy data under the type II right censored sampling plan [J]. Journal of Intelligent & Fuzzy Systems, 2015, 28 (4):1755-1773.
[12]	Liu M. F., Ren H. P. Bayesian test procedure of lifetime performance index for exponential distribution under progressive type-II censoring. International Journal of Applied Mathematics & Statistics, 2013, 32 (2):27-38.
[13]	Wu C W, Shu M H, Chang Y N. Variable-sampling plans based on lifetime-performance index under exponential distribution with censoring and its extensions [J]. Applied Mathematical Modelling, 2018, 55:81-93.
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[16]	Zhao S, Song Y, Song L, et al. Estimation of ordered means of two sample exponential distributions under symmetric entropy loss [J]. Journal of Jilin University, 2007, 45 (1):44-48.
[17]	Li L. Bayes estimation of Topp-Leone distribution under symmetric entropy loss function based on lower record values [J]. 2016, 4 (6):284.
[18]	Lawless J F. Statistical Model and Methods for Lifetime Data. John Wiley & Sons, New York, 1982.
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APA Style

Guobing Fan. (2018). Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function. Mathematics Letters, 4(1), 20-24. https://doi.org/10.11648/j.ml.20180401.15

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ACS Style

Guobing Fan. Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function. Math. Lett. 2018, 4(1), 20-24. doi: 10.11648/j.ml.20180401.15

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AMA Style

Guobing Fan. Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function. Math Lett. 2018;4(1):20-24. doi: 10.11648/j.ml.20180401.15

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@article{10.11648/j.ml.20180401.15,
  author = {Guobing Fan},
  title = {Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function},
  journal = {Mathematics Letters},
  volume = {4},
  number = {1},
  pages = {20-24},
  doi = {10.11648/j.ml.20180401.15},
  url = {https://doi.org/10.11648/j.ml.20180401.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20180401.15},
  abstract = {The task of this paper is to estimate the lifetime performance index of Exponential distribution. A Bayesian test procedure is established under symmetric entropy loss function. Firstly, Bayesian estimation of life performance index is obtained, then a Bayesian test procedure for lifetime performance index is proposed. Finally, an applied example is used to illustrate the effectiveness of the proposed test method.},
 year = {2018}
}

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TY  - JOUR
T1  - Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function
AU  - Guobing Fan
Y1  - 2018/05/04
PY  - 2018
N1  - https://doi.org/10.11648/j.ml.20180401.15
DO  - 10.11648/j.ml.20180401.15
T2  - Mathematics Letters
JF  - Mathematics Letters
JO  - Mathematics Letters
SP  - 20
EP  - 24
PB  - Science Publishing Group
SN  - 2575-5056
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AB  - The task of this paper is to estimate the lifetime performance index of Exponential distribution. A Bayesian test procedure is established under symmetric entropy loss function. Firstly, Bayesian estimation of life performance index is obtained, then a Bayesian test procedure for lifetime performance index is proposed. Finally, an applied example is used to illustrate the effectiveness of the proposed test method.
VL  - 4
IS  - 1
ER  -

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Author Information

Guobing Fan

School of Mathematics and Statistics, Hunan University of Finance and Economics, Changsha, China

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Plain Text BibTeX RIS

APA Style

Guobing Fan. (2018). Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function. Mathematics Letters, 4(1), 20-24. https://doi.org/10.11648/j.ml.20180401.15

Copy | Download

ACS Style

Guobing Fan. Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function. Math. Lett. 2018, 4(1), 20-24. doi: 10.11648/j.ml.20180401.15

Copy | Download

AMA Style

Guobing Fan. Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function. Math Lett. 2018;4(1):20-24. doi: 10.11648/j.ml.20180401.15

Copy | Download

@article{10.11648/j.ml.20180401.15,
  author = {Guobing Fan},
  title = {Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function},
  journal = {Mathematics Letters},
  volume = {4},
  number = {1},
  pages = {20-24},
  doi = {10.11648/j.ml.20180401.15},
  url = {https://doi.org/10.11648/j.ml.20180401.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20180401.15},
  abstract = {The task of this paper is to estimate the lifetime performance index of Exponential distribution. A Bayesian test procedure is established under symmetric entropy loss function. Firstly, Bayesian estimation of life performance index is obtained, then a Bayesian test procedure for lifetime performance index is proposed. Finally, an applied example is used to illustrate the effectiveness of the proposed test method.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function
AU  - Guobing Fan
Y1  - 2018/05/04
PY  - 2018
N1  - https://doi.org/10.11648/j.ml.20180401.15
DO  - 10.11648/j.ml.20180401.15
T2  - Mathematics Letters
JF  - Mathematics Letters
JO  - Mathematics Letters
SP  - 20
EP  - 24
PB  - Science Publishing Group
SN  - 2575-5056
UR  - https://doi.org/10.11648/j.ml.20180401.15
AB  - The task of this paper is to estimate the lifetime performance index of Exponential distribution. A Bayesian test procedure is established under symmetric entropy loss function. Firstly, Bayesian estimation of life performance index is obtained, then a Bayesian test procedure for lifetime performance index is proposed. Finally, an applied example is used to illustrate the effectiveness of the proposed test method.
VL  - 4
IS  - 1
ER  -

Copy | Download