A Tapered Pareto-Poisson Model for Extreme Pyroclastic Flows: Application to the Quantification of Volcano Hazards

dc.contributor.advisor	Wolpert, Robert L
dc.contributor.author	Dai, Fan
dc.date.accessioned	2015-05-12T20:51:06Z
dc.date.available	2015-05-12T20:51:06Z
dc.date.issued	2015
dc.identifier.uri	https://hdl.handle.net/10161/10039
dc.description.abstract	<p>This paper intends to discuss the problems of parameter estimation in a proposed tapered Pareto-Poisson model for the assessment of large pyroclastic flows, which are essential in quantifying the size and risk of volcanic hazards. In dealing with the tapered Pareto distribution, the paper applies both maximum likelihood estimation and a Bayesian framework with objective priors and Metropolis algorithm. The techniques are further illustrated by an example of modeling extreme flow volumes at Soufriere Hills Volcano, and their simulation results are addressed.</p>
dc.subject	Statistics
dc.subject	Bayesian Inference
dc.subject	Extreme Value
dc.subject	MLEs
dc.subject	Poisson Process
dc.subject	Random Walk Metropolis
dc.subject	Tapered Pareto Distribution
dc.title	A Tapered Pareto-Poisson Model for Extreme Pyroclastic Flows: Application to the Quantification of Volcano Hazards
dc.type	Master's thesis
dc.department	Statistical Science