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Bayesian Estimation for the Parameter of Gamma Lomax Distribution under Different Loss Functions
Arun Kumar Rao1 , Himanshu Pandey2
Section:Research Paper, Product Type: Journal-Paper
Vol.8 ,
Issue.1 , pp.47-51, Feb-2021
Online published on Feb 28, 2021
Copyright © Arun Kumar Rao, Himanshu Pandey . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Arun Kumar Rao, Himanshu Pandey, “Bayesian Estimation for the Parameter of Gamma Lomax Distribution under Different Loss Functions,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.8, Issue.1, pp.47-51, 2021.
MLA Style Citation: Arun Kumar Rao, Himanshu Pandey "Bayesian Estimation for the Parameter of Gamma Lomax Distribution under Different Loss Functions." International Journal of Scientific Research in Mathematical and Statistical Sciences 8.1 (2021): 47-51.
APA Style Citation: Arun Kumar Rao, Himanshu Pandey, (2021). Bayesian Estimation for the Parameter of Gamma Lomax Distribution under Different Loss Functions. International Journal of Scientific Research in Mathematical and Statistical Sciences, 8(1), 47-51.
BibTex Style Citation:
@article{Rao_2021,
author = {Arun Kumar Rao, Himanshu Pandey},
title = {Bayesian Estimation for the Parameter of Gamma Lomax Distribution under Different Loss Functions},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2021},
volume = {8},
Issue = {1},
month = {2},
year = {2021},
issn = {2347-2693},
pages = {47-51},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2285},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2285
TI - Bayesian Estimation for the Parameter of Gamma Lomax Distribution under Different Loss Functions
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Arun Kumar Rao, Himanshu Pandey
PY - 2021
DA - 2021/02/28
PB - IJCSE, Indore, INDIA
SP - 47-51
IS - 1
VL - 8
SN - 2347-2693
ER -
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Abstract :
In this paper, the Gamma-Lomax distribution is considered for Bayesian analysis. The expressions for Bayes estimators of the parameter have been derived under squared error, precautionary, entropy, K-loss, and Al-Bayyati’s loss functions by using quasi and gamma priors.
Key-Words / Index Term :
Bayesian method, Gamma-Lomax distribution, quasi and gamma priors, squared error, precautionary, entropy, K-loss, and Al-Bayyati’s loss functions.
References :
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[5] R. Calabria and G. Pulcini, “Point estimation under asymmetric loss functions for left truncated exponential samples”, Comm. Statist. Theory & Methods, 25 (3), 585-600, 1994.
[6] D.K. Dey, M. Ghosh and C. Srinivasan, “Simultaneous estimation of parameters under entropy loss”, Jour. Statist. Plan. And infer., 347-363, 1987.
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[8] M.T. Wasan, “Parametric Estimation”, New York: Mcgraw-Hill, 1970.
[9] Al-Bayyati, “Comparing methods of estimating Weibull failure models using simulation”, Ph.D. Thesis, College of Administration and Economics, Baghdad University, Iraq, 2002.
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