For generalized linear models with multivariate response and natural link functions, likelihood ratio test of one-sided hypothesis on the regression parameter is considered under rather general conditions. The null-asymptotic distribution of the test statistic turns out to be chi-bar squared. The extension of the above results to include quasi-likellihood ratio test to incorporate over-dispersi...

Causal and semicausal stochastic fields may be rewritten in a state-space representation. Local changes in these fields may be regarded as time-varying changes in the parameters of this model. Using a Kalman filter bank, the generalized likelihood ratio may be computed if these changes are known to be in a certain set. If only some scaling parameters are unknown, exact expressions for the gener...