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- Publisher Website: 10.1002/sim.2456
- Scopus: eid_2-s2.0-33747609550
- PMID: 16345103
- WOS: WOS:000240047100012
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Article: Efficient estimation of log-normal means with application to pharmacokinetic data
Title | Efficient estimation of log-normal means with application to pharmacokinetic data |
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Authors | |
Keywords | Arithmetic mean Maximum likelihood Parametric bootstrap Squared error risk Uniformly minimum variance unbiased Clinical pharmacokinetics |
Issue Date | 2006 |
Citation | Statistics in Medicine, 2006, v. 25, n. 17, p. 3023-3038 How to Cite? |
Abstract | In this paper, the problem of interest is efficient estimation of log-normal means. Several existing estimators are reviewed first, including the sample mean, the maximum likelihood estimator, the uniformly minimum variance unbiased estimator and a conditional minimal mean squared error estimator. A new estimator is then proposed, and we show that it improves over the existing estimators in terms of squared error risk. The improvement is more significant with small sample sizes and large coefficient of variations, which is common in clinical pharmacokinetic (PK) studies. In addition, the new estimator is very easy to implement, and provides us with a simple alternative to summarize PK data, which are usually modelled by log-normal distributions. We also propose a parametric bootstrap confidence interval for log-normal means around the new estimator and illustrate its nice coverage property with a simulation study. Our estimator is compared with the existing ones via theoretical calculations and applications to real PK studies. Copyright © 2005 John Wiley & Sons, Ltd. |
Persistent Identifier | http://hdl.handle.net/10722/219514 |
ISSN | 2021 Impact Factor: 2.497 2020 SCImago Journal Rankings: 1.996 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Shen, Haipeng | - |
dc.contributor.author | Brown, Lawrence D. | - |
dc.contributor.author | Zhi, Hui | - |
dc.date.accessioned | 2015-09-23T02:57:16Z | - |
dc.date.available | 2015-09-23T02:57:16Z | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | Statistics in Medicine, 2006, v. 25, n. 17, p. 3023-3038 | - |
dc.identifier.issn | 0277-6715 | - |
dc.identifier.uri | http://hdl.handle.net/10722/219514 | - |
dc.description.abstract | In this paper, the problem of interest is efficient estimation of log-normal means. Several existing estimators are reviewed first, including the sample mean, the maximum likelihood estimator, the uniformly minimum variance unbiased estimator and a conditional minimal mean squared error estimator. A new estimator is then proposed, and we show that it improves over the existing estimators in terms of squared error risk. The improvement is more significant with small sample sizes and large coefficient of variations, which is common in clinical pharmacokinetic (PK) studies. In addition, the new estimator is very easy to implement, and provides us with a simple alternative to summarize PK data, which are usually modelled by log-normal distributions. We also propose a parametric bootstrap confidence interval for log-normal means around the new estimator and illustrate its nice coverage property with a simulation study. Our estimator is compared with the existing ones via theoretical calculations and applications to real PK studies. Copyright © 2005 John Wiley & Sons, Ltd. | - |
dc.language | eng | - |
dc.relation.ispartof | Statistics in Medicine | - |
dc.subject | Arithmetic mean | - |
dc.subject | Maximum likelihood | - |
dc.subject | Parametric bootstrap | - |
dc.subject | Squared error risk | - |
dc.subject | Uniformly minimum variance unbiased | - |
dc.subject | Clinical pharmacokinetics | - |
dc.title | Efficient estimation of log-normal means with application to pharmacokinetic data | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1002/sim.2456 | - |
dc.identifier.pmid | 16345103 | - |
dc.identifier.scopus | eid_2-s2.0-33747609550 | - |
dc.identifier.volume | 25 | - |
dc.identifier.issue | 17 | - |
dc.identifier.spage | 3023 | - |
dc.identifier.epage | 3038 | - |
dc.identifier.eissn | 1097-0258 | - |
dc.identifier.isi | WOS:000240047100012 | - |
dc.identifier.issnl | 0277-6715 | - |