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Bayes Estimation of the Parameter of Pareto Distribution Under Squared Error and LINEX Loss Functions Based on Ranked Set Sampling
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Reza Alizadeh Noughabi *   , Jafar Ahmadi |
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Abstract: (22837 Views) |
| In some practical problems, obtaining observations for the variable of interest is costly and time consuming. In such situations, considering appropriate sampling schemes, in order to reduce the cost and increase the efficiency are worthwhile. In these cases, ranked set sampling is a suitable alternative for simple random sampling. In this paper, the problem of Bayes estimation of the parameter of Pareto distribution under squared error and LINEX loss functions is studied. Using a Monte Carlo simulation, for both sampling methods, namely, simple random sampling and ranked set sampling, the Bayes risk estimators are computed and compared. Finally, the efficiency of the obtained estimators is illustrated throughout using a real data set. The results demonstrate the superiority of the ranked set sampling scheme, therefore, we recommend using ranked set sampling method whenever possible. |
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| Keywords: Ranked set sampling, Bayes estimate, LINEX loss function, squared error loss function, Pitman closeness |
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Full-Text [PDF 468 kb]
(5942 Downloads)
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Type of Study: Research |
Subject:
Statistical Inference
Received: 2013/07/21 | Accepted: 2013/11/3 | Published: 2013/11/3
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