6. Curvature in Exponential Family Regression

  1. Robert E. Kass1 and
  2. Paul W. Vos2

Published Online: 13 SEP 2011

DOI: 10.1002/9781118165980.ch6

Geometrical Foundations of Asymptotic Inference

Geometrical Foundations of Asymptotic Inference

How to Cite

Kass, R. E. and Vos, P. W. (1997) Curvature in Exponential Family Regression, in Geometrical Foundations of Asymptotic Inference, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118165980.ch6

Author Information

  1. 1

    Department of Statistics, Carnegie Mellon University

  2. 2

    Department of Biostatistics, School of Allied Health Sciences, East Carolina University

Publication History

  1. Published Online: 13 SEP 2011
  2. Published Print: 3 JUL 1997

ISBN Information

Print ISBN: 9780471826682

Online ISBN: 9781118165980



  • nonlinear regression;
  • asymptotic normality;
  • curvature measures;
  • standardized second-derivative array;
  • third-derivative array


This chapter contains sections titled:

  • Introduction

  • Background on Nonlinear Regression

  • Curvature in Exponential Family Nonlinear Regression

  • Summaries of the Observed Third-Derivative Array

  • Examples

  • Bibliographical Remarks