{"data":{"id":"10.6084/m9.figshare.1292988","type":"dois","attributes":{"doi":"10.6084/m9.figshare.1292988","prefix":"10.6084","suffix":"m9.figshare.1292988","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Rootzén, Holger","nameType":"Personal","givenName":"Holger","familyName":"Rootzén","affiliation":[],"nameIdentifiers":[]},{"name":"Zholud, Dmitrii","nameType":"Personal","givenName":"Dmitrii","familyName":"Zholud","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"Tail Estimation for Window-Censored Processes"}],"publisher":"Taylor \u0026 Francis","container":{},"publicationYear":2016,"subjects":[{"subject":"Medicine"},{"subject":"Genetics"},{"subject":"FOS: Biological sciences","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"FOS: Biological sciences","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"59999 Environmental Sciences not elsewhere classified","subjectScheme":"FOR"},{"subject":"FOS: Earth and related environmental sciences","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"FOS: Earth and related environmental sciences","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"69999 Biological Sciences not elsewhere classified","subjectScheme":"FOR"},{"subject":"19999 Mathematical Sciences not elsewhere classified","subjectScheme":"FOR"},{"subject":"FOS: Mathematics","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"FOS: Mathematics","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Computational Biology"}],"contributors":[],"dates":[{"date":"2015-01-22","dateType":"Created"},{"date":"2016-05-20","dateType":"Updated"},{"date":"2016","dateType":"Issued"}],"language":null,"types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Dataset","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[{"relationType":"IsSupplementTo","relatedIdentifier":"10.1080/00401706.2014.995834","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["5603189 Bytes"],"formats":[],"version":null,"rightsList":[{"rights":"Creative Commons Attribution 4.0 International","rightsUri":"https://creativecommons.org/licenses/by/4.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc-by-4.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"This article develops methods to estimate the tail and full distribution of the lengths of the 0-intervals in a continuous time stationary ergodic stochastic process that takes the values 0 and 1 in alternating intervals. The setting is that each of many such 0–1 processes has been observed during a short time window. Thus, the observed 0-intervals could be noncensored, right-censored, left-censored, or doubly-censored, and the lengths of 0-intervals that are ongoing at the beginning of the observation window have a length-biased distribution. We exhibit parametric conditional maximum likelihood estimators for the full distribution, develop maximum likelihood tail estimation methods based on a semiparametric generalized Pareto model, and propose goodness-of-fit plots. Finite sample properties are studied by simulation, and asymptotic normality is established for the most important case. The methods are applied to estimation of the length of off-road glances in the 100-car study, a big naturalistic driving experiment. Supplementary materials that include MatLab code for the estimation routines and a simulation study are available online.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://tandf.figshare.com/articles/dataset/Tail_Estimation_for_Window_Censored_Processes/1292988","contentUrl":null,"metadataVersion":2,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"mds","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":0,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2015-01-22T17:44:56.000Z","registered":"2015-01-22T17:44:57.000Z","published":"2016","updated":"2020-09-04T19:22:11.000Z"},"relationships":{"client":{"data":{"id":"figshare.ars","ty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