Advanced search
Publication Cover
Journal of the American Statistical Association Volume 99, 2004 - Issue 467
Submit an article Journal homepage
258
Views
15
CrossRef citations to date
0
Altmetric
Primary Article

Hierarchical Bayesian Neural Networks

An Application to a Prostate Cancer Study

Malay Ghosh Malay Ghosh is Distinguished Professor, Department of Statistics, University of Florida, Gainesville, FL 32611 . Tapabrata Maiti is Associate Professor, Department of Statistics, Iowa State University, Ames, IA 50011 . Dalho Kim is Associate Professor, Department of Statistics, Kyungpook National University, Taegu 702-701, Korea . Sounak Chakraborty is a doctoral student of Malay Ghosh, Department of Statistics, University of Florida, Gainesville, FL 32611 . Ashutosh Tewari is a Physic, Vattikuti Institute of Urology and Josephine Ford Cancer Center and Department of Urology, Henry Ford Health System, Detroit, MI 48202. Ghosh and Chakraborty's research was supported in part by National Institutes of Health (NIH) grant R01 CA-85414. Maiti's research was supported in part by National Science Foundation (NSF) grant SES-9911466 and NIH grant R01 CA-85414. Kim's research was supported in part by NSF grant SES-9911485. Tewari's research was supported in part by NIH grant R01 CA-85414. The authors thank the associate editor and two referees for their helpful comments on the manuscript.
,
Tapabrata Maiti Malay Ghosh is Distinguished Professor, Department of Statistics, University of Florida, Gainesville, FL 32611 . Tapabrata Maiti is Associate Professor, Department of Statistics, Iowa State University, Ames, IA 50011 . Dalho Kim is Associate Professor, Department of Statistics, Kyungpook National University, Taegu 702-701, Korea . Sounak Chakraborty is a doctoral student of Malay Ghosh, Department of Statistics, University of Florida, Gainesville, FL 32611 . Ashutosh Tewari is a Physic, Vattikuti Institute of Urology and Josephine Ford Cancer Center and Department of Urology, Henry Ford Health System, Detroit, MI 48202. Ghosh and Chakraborty's research was supported in part by National Institutes of Health (NIH) grant R01 CA-85414. Maiti's research was supported in part by National Science Foundation (NSF) grant SES-9911466 and NIH grant R01 CA-85414. Kim's research was supported in part by NSF grant SES-9911485. Tewari's research was supported in part by NIH grant R01 CA-85414. The authors thank the associate editor and two referees for their helpful comments on the manuscript.
,
Dalho Kim Malay Ghosh is Distinguished Professor, Department of Statistics, University of Florida, Gainesville, FL 32611 . Tapabrata Maiti is Associate Professor, Department of Statistics, Iowa State University, Ames, IA 50011 . Dalho Kim is Associate Professor, Department of Statistics, Kyungpook National University, Taegu 702-701, Korea . Sounak Chakraborty is a doctoral student of Malay Ghosh, Department of Statistics, University of Florida, Gainesville, FL 32611 . Ashutosh Tewari is a Physic, Vattikuti Institute of Urology and Josephine Ford Cancer Center and Department of Urology, Henry Ford Health System, Detroit, MI 48202. Ghosh and Chakraborty's research was supported in part by National Institutes of Health (NIH) grant R01 CA-85414. Maiti's research was supported in part by National Science Foundation (NSF) grant SES-9911466 and NIH grant R01 CA-85414. Kim's research was supported in part by NSF grant SES-9911485. Tewari's research was supported in part by NIH grant R01 CA-85414. The authors thank the associate editor and two referees for their helpful comments on the manuscript.
,
Sounak Chakraborty Malay Ghosh is Distinguished Professor, Department of Statistics, University of Florida, Gainesville, FL 32611 . Tapabrata Maiti is Associate Professor, Department of Statistics, Iowa State University, Ames, IA 50011 . Dalho Kim is Associate Professor, Department of Statistics, Kyungpook National University, Taegu 702-701, Korea . Sounak Chakraborty is a doctoral student of Malay Ghosh, Department of Statistics, University of Florida, Gainesville, FL 32611 . Ashutosh Tewari is a Physic, Vattikuti Institute of Urology and Josephine Ford Cancer Center and Department of Urology, Henry Ford Health System, Detroit, MI 48202. Ghosh and Chakraborty's research was supported in part by National Institutes of Health (NIH) grant R01 CA-85414. Maiti's research was supported in part by National Science Foundation (NSF) grant SES-9911466 and NIH grant R01 CA-85414. Kim's research was supported in part by NSF grant SES-9911485. Tewari's research was supported in part by NIH grant R01 CA-85414. The authors thank the associate editor and two referees for their helpful comments on the manuscript.
&
Ashutosh Tewari Malay Ghosh is Distinguished Professor, Department of Statistics, University of Florida, Gainesville, FL 32611 . Tapabrata Maiti is Associate Professor, Department of Statistics, Iowa State University, Ames, IA 50011 . Dalho Kim is Associate Professor, Department of Statistics, Kyungpook National University, Taegu 702-701, Korea . Sounak Chakraborty is a doctoral student of Malay Ghosh, Department of Statistics, University of Florida, Gainesville, FL 32611 . Ashutosh Tewari is a Physic, Vattikuti Institute of Urology and Josephine Ford Cancer Center and Department of Urology, Henry Ford Health System, Detroit, MI 48202. Ghosh and Chakraborty's research was supported in part by National Institutes of Health (NIH) grant R01 CA-85414. Maiti's research was supported in part by National Science Foundation (NSF) grant SES-9911466 and NIH grant R01 CA-85414. Kim's research was supported in part by NSF grant SES-9911485. Tewari's research was supported in part by NIH grant R01 CA-85414. The authors thank the associate editor and two referees for their helpful comments on the manuscript.
Pages 601-608 | Published online: 01 Jan 2012
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

Prostate cancer is one of the most common cancers in American men. Management depends on the staging of prostate cancer. Only cancers that are confined to organs of origin are potentially curable. The article considers a hierarchical Bayesian neural network approach for posterior prediction probabilities of certain features indicative of non-organ-confined prostate cancer. The Bayesian procedure is implemented by an application of the Markov chain Monte Carlo numerical integration technique. For the problem at hand, the hierarchical Bayesian neural network approach is shown to be superior to the approach based on hierarchical Bayesian logistic regression model as well as the classical feedforward neural networks.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.