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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 2 | Year 2021 | Article Id. IJMTT-V67I2P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I2P502

Parameter Estimation of Exponential Pareto Distribution via Bayesian Approach


Arun Kumar Rao, Himanshu Pandey
Abstract

In this paper, exponential Pareto 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.

Keywords
Bayesian method, exponential Pareto distribution, quasi and gamma priors, squared error, precautionary, entropy, K-loss, and Al-Bayyati’s loss functions.
References

[1] Al-Kadim, K.A. and Boshi, M.A.: Exponential Pareto distribution”. Mathematical Theory and Modeling, 3(5)(2013) 135-146.
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[5] Rao, A.K. and Pandey, H.,: Parameter estimation of Dagum distribution. International Journal of Mathematics Trends and Technology (IJMTT), 66(9)(2020) 239-245.
[6] Norstrom, J. G., (1996):The use of precautionary loss functions in Risk Analysis”. IEEE Trans. Reliab., 45(3), 400-403.
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[9] D.K. Dey, and Pei-San Liao Liu (1992): On comparison of estimators in a generalized life Model”. Microelectron. Reliab. 32 (1/2), 207-221.
[10] Wasan, M.T.,: Parametric Estimation. New York: Mcgraw-Hill.,(1970).
[11] Al-Bayyati,:Comparing methods of estimating Weibull failure models using simulation. Ph.D. Thesis, College of Administration and Economics, Baghdad University, Iraq.,(2002).

Citation :

Arun Kumar Rao, Himanshu Pandey, "Parameter Estimation of Exponential Pareto Distribution via Bayesian Approach," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 2, pp. 7-14, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I2P502

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