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Activity Number: 549
Type: Topic Contributed
Date/Time: Thursday, August 6, 2009 : 8:30 AM to 10:20 AM
Sponsor: Section on Risk Analysis
Abstract - #305893
Title: Approximate Bayesian Computation for Flexible Quantile Distributions
Author(s): Robert King*+
Companies: Newcastle University
Address: , , ,
Keywords:
Abstract:

The generalized lambda and g-and-k distributions are Quantile distributions that allow a very wide range of shapes within one distributional form. These distributions are defined by their quantile function and rarely have analytical likelihood functions defined. Bayesian methodologies such as Gibbs sampling cannot be applied to parameter estimation for this valuable class of distributions without resorting to numerical inversion. Approximate Bayesian computation provides an alternative approach requiring only a sampling scheme for the distribution of interest, enabling easier use of quantile distributions under the Bayesian framework. Parameter estimates for simulated and experimental data are presented.


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