Modeling the Log Density Distribution with Orthogonal Polynomials
Dartmouth Medical School, Section of Biostatistics and Epidemiology, New Hampshire, USA
- *Corresponding Author:
- Eugene Demidenko
Dartmouth Medical School
Section of Biostatistics and Epidemiology
7927 Rubin Building, One Medical Center Drive
Lebanon, NH 03756, USA
Tel: (603) 653-3682
E-mail: [email protected]
Received Date: October 30, 2010; Accepted Date: November 09, 2010; Published Date: November 12, 2010
Citation: Demidenko E (2010) Modeling the Log Density Distribution with Orthogonal Polynomials. J Biomet Biostat 1:105. doi:10.4172/2155-6180.1000105
Copyright: © 2010 Demidenko E. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution and reproduction in any medium, provided the original author and source are credited.
A possibly multimodal log density is modeled via orthogonal polynomials. An efficient Fisher scoring algorithm for maximum likelihood density estimation is described. Statistical hypothesis testing is emphasized such as the test for normality and density multimodality. The density estimation is illustrated with two biomedical examples: brain oxygen distribution and toenail arsenic distribution among New Hampshire residents.