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  1. Journal of Agricultural, Biological, and Environmental Statistics
  2. Journal of Agricultural, Biological, and Environmental Statistics : Volume 10
  3. Journal of Agricultural, Biological, and Environmental Statistics : Volume 10, Issue 1, March 2005
  4. A bayesian solution to reconstructing centrally censored distributions
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Journal of Agricultural, Biological, and Environmental Statistics : Volume 22
Journal of Agricultural, Biological, and Environmental Statistics : Volume 21
Journal of Agricultural, Biological, and Environmental Statistics : Volume 20
Journal of Agricultural, Biological, and Environmental Statistics : Volume 19
Journal of Agricultural, Biological, and Environmental Statistics : Volume 18
Journal of Agricultural, Biological, and Environmental Statistics : Volume 17
Journal of Agricultural, Biological, and Environmental Statistics : Volume 16
Journal of Agricultural, Biological, and Environmental Statistics : Volume 15
Journal of Agricultural, Biological, and Environmental Statistics : Volume 14
Journal of Agricultural, Biological, and Environmental Statistics : Volume 13
Journal of Agricultural, Biological, and Environmental Statistics : Volume 12
Journal of Agricultural, Biological, and Environmental Statistics : Volume 11
Journal of Agricultural, Biological, and Environmental Statistics : Volume 10
Journal of Agricultural, Biological, and Environmental Statistics : Volume 10, Issue 4, December 2005
Journal of Agricultural, Biological, and Environmental Statistics : Volume 10, Issue 3, September 2005
Journal of Agricultural, Biological, and Environmental Statistics : Volume 10, Issue 2, June 2005
Journal of Agricultural, Biological, and Environmental Statistics : Volume 10, Issue 1, March 2005
A set of nonlinear regression models for animal movement in response to a single landscape feature
A hierarchical model for compositional data analysis
Bayesian capture-recapture analysis and model selection allowing for heterogeneity and behavioral effects
Fractional polynomial response surface models
A bayesian solution to reconstructing centrally censored distributions
Two-stage sequential sampling: A neighborhood-free adaptive sampling procedure
Sample size and power determination for detecting interactions in mixtures of chemicals
A simulation study for a linear measurement error model when error variances vary between measurements
Journal of Agricultural, Biological, and Environmental Statistics : Volume 9
Journal of Agricultural, Biological, and Environmental Statistics : Volume 8
Journal of Agricultural, Biological, and Environmental Statistics : Volume 7
Journal of Agricultural, Biological, and Environmental Statistics : Volume 6

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A bayesian solution to reconstructing centrally censored distributions

Content Provider Springer Nature Link
Author Baker, Peter Mengersen, Kerrie Davis, Gerard
Copyright Year 2005
Abstract Bayesian methods are investigated for the reconstruction of mixtures in the case of central censoring. Earlier literature suggested that when the relationship between a continuous and a categorical variable is of interest, a cost-efficient strategy may be to measure the categorical variable only in the tails of the continuous distribution. Such samples occur in population epidemiology and gene mapping. Because central observations are not classified, the mixture component to which each observation belongs is not known. Three cases of censoring, which correspond to differing amounts of available information, are compared. Closed form solutions are not available and so Markov chain Monte Carlo techniques are employed to estimate posterior densities. Evidence for a mixture of two populations is assessed via Bayes factors calculated using a Laplace-Metropolis estimator. Although parameter estimates appear to be satisfactory in most situations, evidence of two populations is only found when the component populations are well separated, tail sizes are not too small, or typing information is available. Extension of these methods to incorporate fixed effects is illustrated by application to a cattle breeding experiment.
Starting Page 61
Ending Page 83
Page Count 23
File Format PDF
ISSN 10857117
Journal Journal of Agricultural, Biological, and Environmental Statistics
Volume Number 10
Issue Number 1
e-ISSN 15372693
Language English
Publisher Springer-Verlag
Publisher Date 2005-01-01
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Bayes factor Finite mixture Gibbs sampler Laplace-Metropolis estimator Markov chain Monte Carlo Selective genotyping Statistics for Life Sciences, Medicine, Health Sciences Agriculture Environmental Monitoring/Analysis Biostatistics
Content Type Text
Resource Type Article
Subject Applied Mathematics Statistics and Probability Environmental Science Agricultural and Biological Sciences Statistics, Probability and Uncertainty
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