This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
|
249
|
Type:
|
Contributed
|
Date/Time:
|
Monday, August 2, 2010 : 2:00 PM to 3:50 PM
|
Sponsor:
|
Section on Statistics and the Environment
|
Abstract - #306832 |
Title:
|
Generalized Additive Models for Zero-Inflated Data with Partial Constraints
|
Author(s):
|
Hai Liu*+ and Kung-Sik Chan
|
Companies:
|
Indiana University School of Medicine and The University of Iowa
|
Address:
|
410 West 10th Street, Suite 3000, Indianapolis, IN, 46202,
|
Keywords:
|
Asymptotic normality ;
Convergence rate ;
EM algorithm ;
Model selection ;
Penalized quasi-likelihood
|
Abstract:
|
Zero-inflated data abound in many scientific fields. Nonparametric regression with zero-inflated response may be studied via the zero-inflated generalized additive model (ZIGAM) with a mixture distribution of zero and a regular exponential family component. We propose the (partially) constrained ZIGAM, which assumes that some covariates affect the probability of non-zero-inflation and the regular exponential family distribution mean proportionally on the link scales. When the assumption obtains, the new approach provides a unified and efficient framework for modeling zero-inflated data. We develop an iterative estimation algorithm. Some asymptotic properties are derived. We also propose a Bayesian model selection criterion for choosing between the unconstrained and constrained ZIGAMs. The new methods are illustrated with both simulation and a real application of jellyfish abundance data.
|
The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
Back to the full JSM 2010 program
|
2010 JSM Online Program Home
For information, contact jsm@amstat.org or phone (888) 231-3473.
If you have questions about the Continuing Education program, please contact the Education Department.