Verifying compliance with ballast water standards: a decision-theoretic approach
| Autor: | Costa, Eliardo G., Paulino, Carlos Daniel, Singer, Julio M. |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Estadística matemàtica
Bayes risk Matemàtiques i estadística::Estadística matemàtica [Àrees temàtiques de la UPC] Estadística matemàtica--Aplicacions 62 Statistics::62F Parametric inference [Classificació AMS] Poisson distribution 62 Statistics::62P Applications [Classificació AMS] negative binomial distribution Optimal sample size |
| Zdroj: | SORT-Statistics and Operations Research Transactions; 2021: Vol.: 45 Núm.: 1 January-June; 19-32 oai:raco.cat:article/388811 UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona Repositori Institucional de la Universitat Rovira i Virgili Universitat Rovira i virgili (URV) |
| ISSN: | 1696-2281 2013-8830 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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