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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: (18602 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]
(4481 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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