Determining the Mass Function of Planetesimals Using Markov Chain Monte Carlo Simulations

dc.contributor.author Small, Matthew
dc.contributor.committeeMember Kawaler, Steven
dc.contributor.committeeMember Iadecola, Thomas
dc.contributor.department Department of Physics and Astronomy
dc.contributor.majorProfessor Simon, Jacob
dc.date.accessioned 2022-06-08T15:58:01Z
dc.date.available 2022-06-08T15:58:01Z
dc.date.copyright 2022
dc.date.issued 2022-05
dc.description.abstract I show the errors that can arise when using Maximum Likelihood Estimation (MLE) to determine the best fit function of the initial mass function of planetesimals. I use Markov Chain Monte Carlo (MCMC) simulations to avoid these errors. I analyze a data set produced by MCMC and show the complications that can arise when analyzing MCMC data.
dc.identifier.doi https://doi.org/10.31274/cc-20240624-524
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/105336
dc.language.iso en_US
dc.rights.holder Matthew Small
dc.subject.disciplines DegreeDisciplines::Physical Sciences and Mathematics::Astrophysics and Astronomy::Other Astrophysics and Astronomy
dc.subject.disciplines DegreeDisciplines::Physical Sciences and Mathematics::Astrophysics and Astronomy::Physical Processes
dc.subject.disciplines DegreeDisciplines::Physical Sciences and Mathematics::Computer Sciences::Numerical Analysis and Scientific Computing
dc.subject.disciplines DegreeDisciplines::Physical Sciences and Mathematics::Statistics and Probability::Other Statistics and Probability
dc.subject.keywords planetesimals
dc.subject.keywords initial mass function
dc.subject.keywords monte carlo
dc.subject.keywords analysis
dc.title Determining the Mass Function of Planetesimals Using Markov Chain Monte Carlo Simulations
dc.type creative component
dc.type.genre creative component
dspace.entity.type Publication
relation.isOrgUnitOfPublication 4a05cd4d-8749-4cff-96b1-32eca381d930
thesis.degree.discipline Astrophysics
thesis.degree.level Masters
thesis.degree.name Master of Science
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