Verifying compliance with ballast water standards: a decision-theoretic approach

Eliardo G. Costa; Carlos Daniel Paulino; Julio Singer

Ayuda

Verifying compliance with ballast water standards: a decision-theoretic approach

Autores: Eliardo G. Costa, Carlos Daniel Paulino, Julio Singer
Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 45, Nº. 1, 2021, págs. 19-32
Idioma: inglés
Enlaces
- Texto completo (pdf)
Resumen
- 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.
Referencias bibliográficas
- Amaral Turkman, M. A., Paulino, C. D. and MuÌller, P. (2019). Computational Bayesian Statistics: An Introduction. Cambridge: Cambridge University...
- Basurko, O. C. and Mesbahi, E. (2011). Statistical representativeness of ballast water sampling. In Proceedings of the Institution of Mechanical...
- Bernardo, J. M. (1997). Statistical inference as a decision problem: the choice of sample size. Journal of the Royal Statistical Society....
- Carney, K. J., Basurko, O. C., Pazouki, K., Marsham, S., Delany, J. E., Desai, D. V., Anil, A. C. and Mesbahi, E. (2013). Difficulties in...
- Casas-Monroy, O., Rajakaruna, H. and Bailey, S. A. (2020). Improving estimation of phytoplankton abundance and distribution in ballast water...
- Costa, E. G., Lopes, R. M. and Singer, J. M. (2015). Implications of heterogeneous distributions of organisms on ballast water sampling. Marine...
- Costa, E. G., Lopes, R. M. and Singer, J. M. (2016). Sample size for estimating the mean concentration of organisms in ballast water. Journal...
- Costa, E. G., Paulino, C. D. and Singer, J. M. (2020). ssdet: Sample size determination in frequentist and Bayesian approaches. http://www.github.com/eliardocosta/ssdet....
- Costa, E. G., Paulino, C. D. and Singer, J. M. (2021). Sample size for estimating organism concentration in ballast water: A Bayesian approach....
- De Santis, F. and Gubbiotti, S. (2017). A decision-theoretic approach to sample size determination under several priors. Applied Stochastic...
- Etzioni, R. and Kadane, J. B. (1993). Optimal experimental design for another’s analysis. Journal of the American Statistical Association,...
- Ferguson, T. S. (1996). A course in large sample theory. London: Chapman and Hall.
- First, M. R., Robbins-Wamsley, S. H., Riley, S. C., Moser, C. S., Smith, G. E., Tamburri, M. N. and Drake, L. A. (2013). Stratification of...
- Frazier, M., Miller, A. W., LeeII, H. and Reusser, D. A. (2013). Counting at low concentrations: the statistical challenges of verifying ballast...
- Gollasch, S. and David, M. (2017). Recommendations for representative ballast water sampling. Journal of Sea Research, 123, 1–15.
- Hastings, W. K. (1970). Monte Carlo sampling methods using markov chains and their applications. Biometrika, 57, 97–109.
- IMO (2004). International convention for the control and management of ship ballast water and sediments. http://www.imo.org/.
- Islam, A. F. M. (2011). Loss functions, utility functions and Bayesian sample size determination. Ph.D. thesis. Queen Mary, University of...
- Islam, A. F. M. S. and Pettit, L. I. (2012). Bayesian sample size determination using linex loss and linear cost. Communications in Statistics-Theory...
- Islam, A. F. M. S. and Pettit, L. I. (2014). Bayesian sample size determination for the bounded linex loss function. Journal of Statistical...
- Lindley, D. V. (1997). The choice of sample size. Journal of the Royal Statistical Society: Series D (The Statistician), 46, 129–138.
- Marbuah, G., Gren, I.-M. andMcKie, B. (2014). Economics of harmful invasive species: a review. Diversity, 6, 500–523.
- McCarthy, S. A., McPhearson, R. M., Guarino, A. and Gaines, J. (1992). Toxigenic Vibrio cholerae 01 and cargo ships entering Gulf of Mexico....
- McCullagh, P. and Nelder, J. (1989). Generalized linear models, 2nd ed. London: Chapman and Hall.
- Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H. and Teller, E. (1953). Equation of state calculations by fast computing...
- Miller, A. W., Frazier, M., Smith, G. E., Perry, E. S., Ruiz, G. M. and Tamburri, M. N. (2011). Enumerating sparse organisms in ships’ ballast...
- MuÌller, P. and Parmigiani, G. (1995). Optimal design via curve fitting of Monte Carlo experiments. Journal of the American Statistical Association,...
- Parmigiani, G. and Inoue, L. Y. T. (2009). Decision theory: principles and approaches. New York: John Wiley and Sons.
- Pham-Gia, T. and Turkkan, N. (1992). Sample size determination in Bayesian analysis. Journal of the Royal Statistical Society: Series D (The...
- Raiffa, H. and Schlaifer, R. (1961). Applied statistical decision theory. Boston: Wiley Cambridge.
- Rice, K. M., Lumley, T. and Szpiro, A. A. (2008). Trading bias for precision: decision theory for intervals and sets. http://www.bepress.com/uwbiostat/paper336....
- Sahu, S. K. and Smith, T. M. F. (2006). A Bayesian method of sample size determination with practical applications. Journal of the Royal Statistical...
- Schervish, M. (1995). Theory of Statistics. New York: Springer-Verlag.
- Strayer, D. L. (2010). Alien species in fresh waters: ecological effects, interactions with other stressors, and prospects for the future....