650
Views
9
CrossRef citations to date
0
Altmetric
Applications and Case Studies

Modeling for Dynamic Ordinal Regression Relationships: An Application to Estimating Maturity of Rockfish in California

&
Pages 68-80 | Received 01 Jun 2015, Published online: 16 May 2018

References

  • Bassetti, F., Casarin, R., and Leisen, F. (2014), “Beta-Product Dependent Pitman-Yor Processes for Bayesian Inference,” Journal of Econometrics, 180, 49–72.
  • Bayarri, S., and Berger, J. (2000), “P-values for Composite Null Models,” Journal of the American Statistical Association, 95, 1127–1142.
  • Bobko, S., and Berkeley, S. (2004), “Maturity, Ovarian Cycle, Fecundity, and Age-Specific Parturition of Black Rockfish (Sebastes melanops),” Fisheries Bulletin, 102, 418–429.
  • Boes, S., and Winkelmann, R. (2006), “Ordered Response Models,” Advances in Statistical Analysis, 90, 165–179.
  • Clark, W. (1991), “Groundfish Exploitation Rates based on Life History Parameters,” Canadian Journal of Fisheries and Aquatic Sciences, 48, 734–750.
  • DeIorio, M., Johnson, W. O., Müller, P., and Rosner, G. L. (2009), “Bayesian Nonparametric Non-Proportional Hazards Survival Modelling,” Biometrics, 63, 762–771.
  • DeIorio, M., Müller, P., Rosner, G., and MacEachern, S. (2004), “An ANOVA Model for Dependent Random Measures,” Journal of the American Statistical Association, 99, 205–215.
  • DeYoreo, M. (2014), “A Bayesian Framework for Fully Nonparametric Ordinal Regression,” Ph.D. dissertation, University of California, Santa Cruz, CA.
  • DeYoreo, M., and Kottas, A. (2015), “A Fully Nonparametric Modeling Approach to Binary Regression,” Bayesian Analysis, 10, 821–847.
  • ——— (2017), “Bayesian Nonparametric Modeling for Multivariate Ordinal Regression,” Journal of Computational and Graphical Statistics, 27, 71–84.
  • Di Lucca, M., Guglielmi, A., Muller, P., and Quintana, F. (2013), “Bayesian Dynamic Density Estimation,” A Simple Class of Bayesian Nonparametric Autoregressive Models, 8, 63–88.
  • Dunson, D., and Park, J. (2008), “Kernel Stick-Breaking Processes,” Biometrika, 95, 307–323.
  • Field, J. (2008), “Status of the Chilipepper Rockfish, Sebastes Goodei, in 2007,” Technical Report, Southwest Fisheries Science Center, Portland, OR: Pacific Fishery Management Council.
  • Fronczyk, K., and Kottas, A. (2014a), “A Bayesian Approach to the Analysis of Quantal Bioassay Studies using Nonparametric Mixture Models,” Biometrics, 70, 95–102.
  • ——— (2014b), “A Bayesian Nonparametric Modeling Framework for Developmental Toxicity Studies” (with discussion), Journal of the American Statistical Association, 109, 873–893.
  • Gelfand, A., and Ghosh, S. (1998), “Model Choice: A Minimum Posterior Predictive Loss Approach,” Biometrika, 85, 1–11.
  • Gelfand, A., Kottas, A., and MacEachern, S. (2005), “Bayesian Nonparametric Spatial Modeling with Dirichlet Process Mixing,” Journal of the American Statistical Association, 100, 1021–1035.
  • Gelman, A. (2013), “Two Simple Examples for Understanding Posterior p-Values whose Distributions are far from Uniform,” Electronical Journal of Statistics, 7, 2595–2602.
  • Gelman, A., Carlin, J., Stern, H., and Rubin, D. (2004), Bayesian Data Analysis, Boca Raton, FL: Chapman and Hall/CRC.
  • Griffin, J. (2011), “Stick-Breaking Autoregressive Processes,” Journal of Econometrics, 162, 383–396.
  • Griffin, J., and Steel, M. (2006), “Order-Based Dependent Dirichlet Processes,” Journal of the American Statistical Association, 101, 179–194.
  • Griffin, J. E., Kolossiatis, M., and Steel, M. F. J. (2013), “Comparing Distributions by Using Dependent Normalized Random-Measure Mixtures,” Journal of the Royal Statistical Society, Series B, 75, 499–529.
  • Hannah, R., Blume, M., and Thompson, J. (2009), “Length and Age at Maturity of Female Yelloweye Rockfish (Sebastes rubberimus) and Cabezon (Scorpaenichthys marmoratus) from Oregon Waters based on Histological Evaluation of Maturity,” Technical Report, Oregon Department of Fish and Wildlife.
  • Ishwaran, H., and James, L. (2001), “Gibbs Sampling Methods for Stick-breaking Priors,” Journal of the American Statistical Association, 96, 161–173.
  • Kalli, M., Griffin, J., and Walker, S. (2011), “Slice Sampling Mixture Models,” Statistics and Computing, 21, 93–105.
  • Kottas, A., Wang, Z., and Rodríguez, A. (2012), “Spatial Modeling for Risk Assessment of Extreme Values from Environmental Time Series: A Bayesian Nonparametric Approach,” Environmetrics, 23, 649–662.
  • Leisen, F., and Lijoi, A. (2011), “Vectors of Two-Parameter Poisson-Dirichlet Processes,” Journal of Multivariate Analysis, 102, 482–495.
  • Lijoi, A., Nipoti, B., and Prünster, I. (2014), “Bayesian Inference with Dependent Normalized Completely Random Measures,” Bernoulli, 20, 1260–1291.
  • MacEachern, S. (1999), “Dependent Nonparametric Processes,” in ASA Proceedings of the Section on Bayesian Statistical Science, Alexandria, VA: ASA, pp. 50–55.
  • ——— (2000), “Dependent Dirichlet Processes,” Technical Report, The Ohio State University, Department of Statistics.
  • McKenzie, E. (1985), “An Autoregressive Process for Beta Random Variables,” Management Science, 31, 988–997.
  • Morgan, M., and Hoenig, J. (1997), “Estimating Maturity-at-Age from Length Stratified Sampling,” Journal of Northwest Atlantic Fisheries Science, 21, 51–63.
  • Müller, G., and Czado, C. (2009), “Stochastic Volatility Models for Ordinal Valued Time Series with Application to Finance,” Statistical Modeling, 9, 69–95.
  • Müller, P., Erkanli, A., and West, M. (1996), “Bayesian Curve Fitting Using Multivariate Normal Mixtures,” Biometrika, 83, 67–79.
  • Nieto-Barajas, L., Müller, P., Ji, Y., Lu, Y., and Mills, G. (2012), “A Time-Series DDP for Functional Proteomics Profiles,” Biometrics, 68, 859–868.
  • Rodriguez, A., and Dunson, D. (2011), “Nonparametric Bayesian Models Through Probit Stick-Breaking Processes,” Bayesian Analysis, 6, 145–177.
  • Rodriguez, A., and ter Horst, E. (2008), “Bayesian Dynamic Density Estimation,” Bayesian Analysis, 3, 339–366.
  • Rubin, D. (1976), “Inference and Missing Data,” Biometrika, 63, 581–592.
  • Sethuraman, J. (1994), “A Constructive Definition of Dirichlet Priors,” Statistica Sinica, 4, 639–650.
  • Taddy, M. (2010), “Autoregressive Mixture Models for Dynamic Spatial Poisson Processes: Application to Tracking the Intensity of Violent Crime,” Journal of the American Statistical Association, 105, 1403–1417.
  • Xiao, S., Kottas, A., and Sansó, B. (2015), “Modeling for Seasonal Marked Point Processes: An Analysis of Evolving Hurricane Occurrences,” The Annals of Applied Statistics, 9, 353–382.
  • Zhu, W., and Leisen, F. (2015), “A Multivariate Extension of a Vector of Two-Parameter Poisson-Dirichlet Processes,” Journal of Nonparametric Statistics, 27, 89–105.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.