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Bayesian Inference for The Left Truncated Exponential Distribution based on Ordered Pooled Sample of Records |
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PP: 1-11 |
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Author(s) |
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Mostafa Mohie El-Din,
Yahia Abdel-Aty,
Ahmed Shafay,
Magdy Nagy,
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Abstract |
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| In this paper, the maximum likelihood and Bayesian estimations are developed based on an ordered pooled sample from
two independent samples of record values from the left truncated exponential distribution. The Bayesian estimation for the unknown
parameters is discussed using different loss functions. Also, the maximum likelihood and the Bayesian estimators of the corresponding
reliability and pth quantile functions are calculated. The problem of predicting the record values from a future sample from the sample
population is also discussed from a Bayesian viewpoint. A Monte Carlo simulation study is conducted to compare the maximum
likelihood estimator with the Bayesian estimators. Finally, an illustrative example is presented to demonstrate the different inference
methods discussed here. |
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