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Bayesian and Cross Validation Estimation Bandwidth of Kernel Density Function Estimator for Length-biased Data
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Masoud Ajami *   , Vaheed Fakoor , Sara Jomhoori |
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Abstract: (23084 Views) |
| In sampling, arisen data with probability proportional to its length is called Length-bised. Nonparametric density estimation in length-biased sampling is more difficult than other states. One of the famous estimators in this context is the one introduced by Jones (1991). In this paper, we calculate the bandwidth parameter of this estimator by Bayes'method. The strong consistency of this estimator have been proved with a random Bandwidth. We have compared the performance of Bayes'method with cross validation by using simulation studies. |
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| Keywords: Bandwith, Inverse Gussian, Kernel Density Estimator, Least Squares Cross Validation, Length-Biased Data |
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Full-Text [PDF 504 kb]
(4035 Downloads)
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Type of Study: Applied |
Subject:
Applied Statistics
Received: 2012/05/16 | Accepted: 2013/05/14 | Published: 2013/05/14
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