Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.

Omid Shojaee; Reza Azimi; Manoochehr Babanezhad

doi:doi:10.11648/j.ajtas.20120101.12

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Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.

Omid Shojaee, Reza Azimi, Manoochehr Babanezhad

Published in American Journal of Theoretical and Applied Statistics (Volume 1, Issue 1)

Received: 24 December 2012 Accepted: Published: 30 December 2012

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Abstract

Based on the record samples, the empirical Bayes estimators of parameter and reliability function for Compound Rayleigh distribution is investigated under the symmetric and asymmetric loss function. In this case the symmetric loss function is squared error and for the asymmetric loss functions, we consider LINEX and general Entropy loss function.

Published in	American Journal of Theoretical and Applied Statistics (Volume 1, Issue 1)
DOI	10.11648/j.ajtas.20120101.12
Page(s)	12-15
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

Empirical Bayes Estimate, Compound Rayleigh Distribution, Record Data

References

[1]	M. Han, E-Bayesian estimation of failure probability and its application, Mathematical and Computer Modelling, 45, (2007),1272-1279.
[2]	K.N. Chandler, The distribution and frequency of record values. Journal of the Royal Statistical Society. Series B, 14(1952) 220-228.
[3]	M. Ahsanullah, Introduction to Record Statistics, NOVA Science Publishers Inc., Huntington, New York 1995.
[4]	A. Asgharzadeh, On Bayesian estimation from exponential distribution based on records. Journal of the Korean Statistical Society, 38, (2009), 25-130.
[5]	J. Ahmadi, Doostparast, M. and Parsian, A., Estimation and prediction in a two parameter exponential distribution based on k-record values under LINEX loss function. Communications in Statistics. Theory and Methods, 34, (2005), 795-805.

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APA Style

Omid Shojaee, Reza Azimi, Manoochehr Babanezhad. (2012). Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.. American Journal of Theoretical and Applied Statistics, 1(1), 12-15. https://doi.org/10.11648/j.ajtas.20120101.12

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ACS Style

Omid Shojaee; Reza Azimi; Manoochehr Babanezhad. Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.. Am. J. Theor. Appl. Stat. 2012, 1(1), 12-15. doi: 10.11648/j.ajtas.20120101.12

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AMA Style

Omid Shojaee, Reza Azimi, Manoochehr Babanezhad. Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.. Am J Theor Appl Stat. 2012;1(1):12-15. doi: 10.11648/j.ajtas.20120101.12

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@article{10.11648/j.ajtas.20120101.12,
  author = {Omid Shojaee and Reza Azimi and Manoochehr Babanezhad},
  title = {Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {1},
  number = {1},
  pages = {12-15},
  doi = {10.11648/j.ajtas.20120101.12},
  url = {https://doi.org/10.11648/j.ajtas.20120101.12},
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  abstract = {Based on the record samples, the empirical Bayes estimators of parameter and reliability function for Compound Rayleigh distribution is investigated under the symmetric and asymmetric loss function. In this case the symmetric loss function is squared error and for the asymmetric loss functions, we consider LINEX and general Entropy loss function.},
 year = {2012}
}

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TY  - JOUR
T1  - Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.
AU  - Omid Shojaee
AU  - Reza Azimi
AU  - Manoochehr Babanezhad
Y1  - 2012/12/30
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DO  - 10.11648/j.ajtas.20120101.12
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
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EP  - 15
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AB  - Based on the record samples, the empirical Bayes estimators of parameter and reliability function for Compound Rayleigh distribution is investigated under the symmetric and asymmetric loss function. In this case the symmetric loss function is squared error and for the asymmetric loss functions, we consider LINEX and general Entropy loss function.
VL  - 1
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Author Information

Omid Shojaee

Department of Statistics, Faculty of sciences, Golestan University, Gorgan, Golestan,Iran
Reza Azimi

Department of Statistics, Faculty of sciences, Golestan University, Gorgan, Golestan,Iran
Manoochehr Babanezhad

Department of Statistics, Faculty of sciences, Golestan University, Gorgan, Golestan,Iran

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APA Style

Omid Shojaee, Reza Azimi, Manoochehr Babanezhad. (2012). Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.. American Journal of Theoretical and Applied Statistics, 1(1), 12-15. https://doi.org/10.11648/j.ajtas.20120101.12

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ACS Style

Omid Shojaee; Reza Azimi; Manoochehr Babanezhad. Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.. Am. J. Theor. Appl. Stat. 2012, 1(1), 12-15. doi: 10.11648/j.ajtas.20120101.12

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AMA Style

Omid Shojaee, Reza Azimi, Manoochehr Babanezhad. Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.. Am J Theor Appl Stat. 2012;1(1):12-15. doi: 10.11648/j.ajtas.20120101.12

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@article{10.11648/j.ajtas.20120101.12,
  author = {Omid Shojaee and Reza Azimi and Manoochehr Babanezhad},
  title = {Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {1},
  number = {1},
  pages = {12-15},
  doi = {10.11648/j.ajtas.20120101.12},
  url = {https://doi.org/10.11648/j.ajtas.20120101.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20120101.12},
  abstract = {Based on the record samples, the empirical Bayes estimators of parameter and reliability function for Compound Rayleigh distribution is investigated under the symmetric and asymmetric loss function. In this case the symmetric loss function is squared error and for the asymmetric loss functions, we consider LINEX and general Entropy loss function.},
 year = {2012}
}

Copy | Download

TY  - JOUR
T1  - Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.
AU  - Omid Shojaee
AU  - Reza Azimi
AU  - Manoochehr Babanezhad
Y1  - 2012/12/30
PY  - 2012
N1  - https://doi.org/10.11648/j.ajtas.20120101.12
DO  - 10.11648/j.ajtas.20120101.12
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  - 12
EP  - 15
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20120101.12
AB  - Based on the record samples, the empirical Bayes estimators of parameter and reliability function for Compound Rayleigh distribution is investigated under the symmetric and asymmetric loss function. In this case the symmetric loss function is squared error and for the asymmetric loss functions, we consider LINEX and general Entropy loss function.
VL  - 1
IS  - 1
ER  -

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