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dc.date.accessioned2013-05-09T10:23:29Z
dc.date.issued2012en_US
dc.date.submitted2012-06-04en_US
dc.identifier.citationLerudjordet, Martin. Statistical analysis of track and field data. Masteroppgave, University of Oslo, 2012en_US
dc.identifier.urihttp://hdl.handle.net/10852/10804
dc.description.abstractIn this thesis we analyze the performances of six different track and field disciplines (100m, 200m, 110m hurdles, 400m, 800m and 10000m) using mainly extreme value statistics. Besides fitting the generalized Pareto distribution to each of the disciplines (chapter 2), we also do a model selection (chapter 3) using AIC, BIC, TIC and FIC, with the latter being used to select a model for estimating the world record probability. Using the AIC we are able to reduce the total amount of parameters from twelve to seven, and with the FIC we find that we are able to use either the shape parameter of 100m or 800m on all six disciplines. We then take a step back in chapter 4 were we do an empirical Bayes analysis in an attempt to reduce the total mean square error of the shape parameter. We are successful with our method of moments approach, while the maximum likelihood approach fails. In chapter 5 we focus just on 100m as we add time as a covariate on the scale parameter. We also introduce the Poisson-GPD model, allowing us to model the probability of a new world record on a seasonal basis. At the end of the chapter we do a short analysis of Usain Bolt's performances using a regression model with N(0,1) distributed errors, as well as attempting a wind correction. In the last chapter (chapter 6) we summarize and discuss our findings.eng
dc.language.isoengen_US
dc.titleStatistical analysis of track and field dataen_US
dc.typeMaster thesisen_US
dc.date.updated2013-05-08en_US
dc.creator.authorLerudjordet, Martinen_US
dc.date.embargoenddate10000-01-01
dc.rights.termsDette dokumentet er ikke elektronisk tilgjengelig etter ønske fra forfatter. Tilgangskode/Access code Aen_US
dc.rights.termsforeveren_US
dc.subject.nsiVDP::412en_US
dc.identifier.bibliographiccitationinfo:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft.au=Lerudjordet, Martin&rft.title=Statistical analysis of track and field data&rft.inst=University of Oslo&rft.date=2012&rft.degree=Masteroppgaveen_US
dc.identifier.urnURN:NBN:no-31715en_US
dc.type.documentMasteroppgaveen_US
dc.identifier.duo165867en_US
dc.contributor.supervisorNils Lid Hjorten_US
dc.identifier.bibsys122599004en_US
dc.rights.accessrightsclosedaccessen_US
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/10804/3/MLerudjordetThesis.pdf


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