Generalized Method of Moments and Generalized Estimating Functions Using Characteristic Function

Estimating functions and the generalized method of moments.

Estimating functions provide a very general framework for statistical inference, and are particularly useful when one is either unable or unwilling to specify a likelihood function. This paper aims to provide an accessible review of estimating function theory that has potential for application to the analysis and modelling of a wide range of complex systems. Assumptions are given in terms that ...

A Numerical Integration Method by Using Generalized Series of Functions

Generalized Method of Moments

This entry describes the basic framework for statistical estimation and inference using Generalized Method of Moments and also illustrates the types of empirical models in finance to which these techniques have been applied. GeneralizedMethod of Moments (GMM) provides a computationally convenientmethod of obtaining consistent and asymptotically normally distributed estimators of the parameters ...

Stochastic Generalized Method of Moments.

The generalized method of moments (GMM) is a very popular estimation and inference procedure based on moment conditions. When likelihood-based methods are difficult to implement, one can often derive various moment conditions and construct the GMM objective function. However, minimization of the objective function in the GMM may be challenging, especially over a large parameter space. Due to th...

Generalized Method of Moments Estimation

2. In practice, researchers find it useful that GMM estimators can be constructed without specifying the full data generating process (which would be required to write down the maximum likelihood estimator.) This has been the case in the study of single equations in a simultaneous system, in the study of potentially misspecified dynamic models designed to match target moments, and in the constr...