Quasi-Likelihood Functions

Peter McCullagh

doi:10.1214/aos/1176346056

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Home > Journals > Ann. Statist. > Volume 11 > Issue 1 > Article

March, 1983 Quasi-Likelihood Functions

Peter McCullagh

Ann. Statist. 11(1): 59-67 (March, 1983). DOI: 10.1214/aos/1176346056

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Abstract

The connection between quasi-likelihood functions, exponential family models and nonlinear weighted least squares is examined. Consistency and asymptotic normality of the parameter estimates are discussed under second moment assumptions. The parameter estimates are shown to satisfy a property of asymptotic optimality similar in spirit to, but more general than, the corresponding optimal property of Gauss-Markov estimators.