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IMPLEMENTATION OF A PARALLEL ALGORITHM TO SIMULATE THE TYPE I ERROR PROBABILITY

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dc.creatorFRANCISCO EDUARDO NOVOA MUÑOZ
dc.date2024
dc.date.accessioned2025-01-10T15:49:33Z
dc.date.available2025-01-10T15:49:33Z
dc.date.issued2024
dc.description.abstractSIMULATING THE PROBABILITY OF TYPE I ERROR IS A POWERFUL STATISTICAL TOOL THAT ALLOWS CONFIRMING IF THE STATISTICAL TEST ACHIEVES THE ESTABLISHED NOMINAL LEVEL. HOWEVER, ITS COMPUTATIONAL IMPLEMENTATION HAS THE DRAWBACK OF SIGNIFICANTLY LONG EXECUTION TIMES. THEREFORE, THIS ARTICLE ANALYZES THE PERFORMANCE OF TWO PARALLEL IMPLEMENTATIONS (PARRAPPLY AND BOOT) WHICH SIGNIFICANTLY REDUCE THE EXECUTION TIME OF SIMULATIONS OF TYPE I ERROR PROBABILITY FOR A GOODNESS-OF-FIT TEST FOR THE BIVARIATE POISSON DISTRIBUTION. THE RESULTS OBTAINED DEMONSTRATE HOW THE PARALLELIZATION STRATEGIES ACCELERATE THE SIMULATIONS, REDUCING THE TIME BY 50% TO 90% WHEN USING 2 TO 12 PROCESSORS RUNNING IN PARALLEL. THIS REDUCTION IS GRAPHICALLY EVIDENCED AS THE EXECUTION TIME OF THE ANALYZED PARALLEL VERSIONS FITS ALMOST PERFECTLY (?2?0.999 ) TO THE POWER MODEL ?=???, WHERE P IS THE NUMBER OF PROCESSORS USED, AND ?>0 AND ?
dc.formatapplication/pdf
dc.identifier.doi10.3390/math12111686
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13828
dc.languagespa
dc.publisherMATHEMATICS
dc.relation.uri10.3390/math12111686
dc.rightsPUBLICADA
dc.subjectsimulation
dc.subjectprobability of type I error
dc.subjectparallel programming
dc.subjectgoodness-of-fit
dc.titleIMPLEMENTATION OF A PARALLEL ALGORITHM TO SIMULATE THE TYPE I ERROR PROBABILITY
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE ENFERMERIA
ubb.SedeCHILLÁN
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