Verifying compliance with ballast water standards

We construct credible intervals to estimate the mean organism (zooplankton and phytoplankton) concentration in ballast water via a decision-theoretic approach. To obtain the required optimal sample size, we use a total cost minimization criterion defined as the sum of the sampling cost and the Bayes...

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Detalles Bibliográficos
Autores: Costa, Eliardo G.|||0000-0003-4528-0379, Paulino, Carlos Daniel|||0000-0001-9473-7641, Singer, Julio M.|||0000-0001-6515-9643
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:243651
Acceso en línea:https://ddd.uab.cat/record/243651
https://dx.doi.org/urn:doi:10.2436/20.8080.02.107
Access Level:acceso abierto
Palabra clave:Optimal sample size
Bayes risk
Poisson distribution
Negative binomial distribution
Descripción
Sumario:We construct credible intervals to estimate the mean organism (zooplankton and phytoplankton) concentration in ballast water via a decision-theoretic approach. To obtain the required optimal sample size, we use a total cost minimization criterion defined as the sum of the sampling cost and the Bayes risk either under a Poisson or a negative binomial model for organism counts, both with a gamma prior distribution. Such credible intervals may be employed to verify whether the ballast water discharged from a ship is in compliance with international standards. We also conduct a simulation study to evaluate the credible interval lengths associated with the proposed optimal sample sizes.