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In a generalized linear model with q × 1 responses, the bounded and fixed (or adaptive) p × q regressors Z i and the general link function, under the most general assumption on the minimum eigenvalue of n i=1 Z i Z i , the moment condition on responses as weak as possible and the other mild regular conditions, we prove that the maximum quasi-likelihood estimates for the regression parameter vector are asymptotically normal and strongly consistent.

In this paper, we establish reverse Hölder's inequality on time scales via diamond integral, which is defined as an 'approximate' symmetric integral on time scales. Moreover, we give some generalizations of diamond integral Hölder's inequality which is due to Brito da Cruz et al. Several other related inequalities are also presented. MSC: 26D15; 26E70

Consider the semiparametric regression model

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