Goodness of Fit: An Axiomatic Approach

Goodness of Fit: an axiomatic approach

An axiomatic approach is used to develop a one-parameter family of measures of divergence between distributions. These measures can be used to perform goodness-of-fit tests with good statistical properties. Asymptotic theory shows that the test statistics have well-defined limiting distributions which are however analytically intractable. A parametric bootstrap procedure is proposed for impleme...

An Empirical Likelihood Approach To Goodness of Fit Testing

Motivated by applications to goodness of fit testing, the empirical likelihood approach is generalized to allow for the number of constraints to grow with the sample size and for the constraints to use estimated criteria functions. The latter is needed to handle naturally occurring nuisance parameters. A central limit theorem is proved to deal with quadratic forms based on random vectors of inc...

Goodness of Fit

Nonparametric Goodness-of-fit

This paper develops an approach to testing the adequacy of both classical and Bayesian models given sample data. An important feature of the approach is that we are able to test the practical scientiic hypothesis of whether the true underlying model is close to some hypothesized model. The notion of closeness is based on measurement precision and requires the introduction of a metric for which ...

Desert as Fit: An Axiomatic Analysis