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dc.contributor.authorLiland, Kristian Hovde
dc.contributor.authorSnipen, Lars-Gustav
dc.date.accessioned2018-01-02T09:59:21Z
dc.date.available2018-01-02T09:59:21Z
dc.date.created2017-01-11T10:03:11Z
dc.date.issued2016
dc.identifier.citationSoftwareX. 2016, 5 227-233.
dc.identifier.issn2352-7110
dc.identifier.urihttp://hdl.handle.net/11250/2473919
dc.description.abstractWhen a series of Bernoulli trials occur within a fixed time frame or limited space, it is often interesting to assess if the successful outcomes have occurred completely at random, or if they tend to group together. One example, in genetics, is detecting grouping of genes within a genome. Approximations of the distribution of successes are possible, but they become inaccurate for small sample sizes. In this article, we describe the exact distribution of time between random, non-overlapping successes in discrete time of fixed length. A complete description of the probability mass function, the cumulative distribution function, mean, variance and recurrence relation is included. We propose an associated test for the over-representation of short distances and illustrate the methodology through relevant examples. The theory is implemented in an R package including probability mass, cumulative distribution, quantile function, random number generator, simulation functions, and functions for testing.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.no
dc.titlefixedTimeEvents: An R package for the distribution of distances between discrete events in fixed time
dc.typePeer reviewed
dc.typeJournal article
dc.source.pagenumber227-233
dc.source.volume5
dc.source.journalSoftwareX
dc.identifier.doi10.1016/j.softx.2016.09.003
dc.identifier.cristin1424707
dc.relation.projectNofima AS: 201302
dc.relation.projectNorges forskningsråd: 225096
cristin.unitcode192,3,3,0
cristin.unitnameInstitutt for kjemi, bioteknologi og matvitenskap
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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