Inference for grouped data with a truncated skew-Laplace distribution
Rubio, Francisco J. and Steel, Mark F. J. (2010) Inference for grouped data with a truncated skew-Laplace distribution. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2010 (No.20).
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Official URL: http://www2.warwick.ac.uk/fac/sci/statistics/crism...
The skew-Laplace distribution has been used for modelling particle size with
point observations. In reality, the observations are truncated and grouped (rounded).
This must be formally taken into account for accurate modelling, and it is shown
how this leads to convenient closed-form expressions for the likelihood in this
model. In a Bayesian framework, we specify “noninformative” benchmark priors
which only require the choice of a single scalar prior hyperparameter. We
derive conditions for the existence of the posterior distribution when rounding and
various forms of truncation are considered in the model. We will focus mostly on
modelling microbiological data obtained with flow cytometry using a skew-Laplace
distribution. However, we also use the model on data often used to illustrate other
skewed distributions, and we show that our modelling favourably compares with
the popular and flexible skew-Student models. Further examples on simulated data
illustrate the wide applicability of the model.
|Item Type:||Working or Discussion Paper (Working Paper)|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science > Statistics|
|Library of Congress Subject Headings (LCSH):||Distribution (Probability theory), Microbiology -- Mathematical models|
|Series Name:||Working papers|
|Publisher:||University of Warwick. Centre for Research in Statistical Methodology|
|Place of Publication:||Coventry|
|Number of Pages:||24|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
Arnold, B. C. and Groeneveld, R. A. (1995). Measuring skewness with respect to the
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