Dalei Yu, Xinyu Zhang, Kelvin K.W. Yau, Asymptotic properties and information criteria for misspecified generalized linear mixed models, Journal of the Royal Statistical Society.

Testing a low-dimensional null hypothesis against a high-dimensional alternative in a generalized linear model may lead to a test statistic that is a quadratic form in the residuals under the null ...

Here, the asymptotic distribution of the MAX test is derived using the generalized linear model together with the Delta method and multiple contrasts.

You can also make statistical inference about the parameters using confidence intervals and hypothesis tests. However, specific inference procedures are usually based on asymptotic considerations, ...