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On the asymptotic behaviour of the pseudolikelihood ratio test statistic with boundary problems

On the asymptotic behaviour of the pseudolikelihood ratio test statistic with boundary problems

This paper considers the asymptotic distribution of the likelihood ratio statistic T for testing a subset of parameter of interest θ, θ = (γ, η), H(0) : γ = γ(0), based on the pseudolikelihood L(θ, ϕ̂), where ϕ̂ is a consistent estimator of ϕ, the nuisance parameter. We show that …