Estimating Functions [Hardcover]

This volume comprises a comprehensive collection of original papers on the subject of estimating functions. It is intended to provide statisticians with an overview of both the theory and the applications of estimating functions in biostatistics, stochastic processes, and survey sampling. From the early 1960s when the concept of optimality criterion was first formulated, together with the later work on optimal estimating functions, this subject has become both an active research area in its own right and also a cornerstone of the modern theory of statistics. Individual chapters have been written by experts in their respective fields and as a result this volume will be an invaluable reference guide to this topic as well as providing an introduction to the area for non-experts.

PART I: Overview
1. Estimating Functions: An Overview,V.P. Godambe and B.K. Kale
PART II
2. Applications of Estimating Function Theory to Replicates of Generalized Proportional Hazards Models,I.-Shou Chang and Chao A. Hsiung
3. Estimating Equations for Mixed Poisson Models,C.B. Dean
4. Estimating Equations in Generalized Linear Models with Measurement Error,Kung-Yee Liang and Xin-Hua Liu
5. A Unification of Inference from Capture-Recapture Studies Through Martingale Estimating Functions,C.J. Lloyd and P. Yip
6. The Role of Unbiasedness in Estimating Equations,T. Yanagimoto and E. Yamamoto
7. Use of a Quadratic Exponential Model to Generate Estimating Equations for Means, Variances, and Covariances,L.P. Zhao and R.L. Prentice
PART III: Stochastic Processes
8. Generalized Score Tests for Composite Hypotheses,I.V. Basawa
9. Quasi-likelihood Stochastic Processes and Optimal Estimating Functions,A.F. DesmondR
10. On Optimal Estimating Functions for Partially Specified Counting Process Models,P.E. Greenwood and W. Wefelmeyel°